Interpreting a Binomial Distribution

  • 1.

    About 5% of the employees bring their own home-cooked lunch to the workplace while others eat ordered food. 5 employees are in higher positions. The following binomial distribution shows the probabilities of all possible numbers of those who bring their own lunch. What is the number of successes with the highest probability?

    Answers:

    • No employee who brings their own home-cooked lunch

    • Only 1 employee who eats online ordered food

    • No employee who eats online ordered food

    • Only 1 employee who brings home-cooked lunch

  • 2.

    About 10% of the students in a class have blonde hair. 4 students participated in a race. The binomial distribution below displays the probabilities of all possible numbers of students with blonde hair who participated. What does the longest bar indicate?

    Answers:

    • The probability of having no student with blonde hair in the race is the highest.

    • The probability of having one student with blonde hair in the race is the lowest.

    • The probability of having one student with blonde hair in the race is the highest.

    • The probability of having no student with blonde hair in the race is the lowest.

  • 3.

    25% of the babies sleep more than 9 hours in their early childhood. 5 babies paid their visit to a physician. The graph below indicates the probabilities of all possible numbers of those babies who sleep more than 9 hours. Identify the number of successes with the highest probability.

    Answers:

    • One baby who sleeps more than 9 hours.

    • No baby who sleeps more than 9 hours.

    • Three babies who sleep more than 9 hours.

    • Two babies who sleep more than 9 hours.

  • 4.

    About 40% of the cakes baked by Jack are chocolate flavored. He packs 5 cakes for delivery to an address. The histogram below indicates the probabilities of all possible numbers of chocolate cakes packed. What is the number of successes with the highest probability?

    Answers:

    • 3 chocolate cakes

    • 2 chocolate cakes

    • 5 chocolate cakes

    • 4 chocolate cakes

  • 5.

    About 45% of the candies in a jar are sugar-free. Liza takes out 5 candies at random. Binomial distribution for the same is illustrated below. Determine the number of successes with the highest probability.

    Answers:

    • 4 sugar-free candies

    • 5 sugar-free candies

    • 3 sugar-free candies

    • 2 sugar-free candies

  • 6.

    About 15% of the residents in an area are employees of governmental organizations. 4 residents met each other during carpooling. The following distribution shows the probabilities of all possible numbers of successes. What is the number of successes with the lowest probability?

    Answers:

    • 1 resident

    • 2 residents

    • 4 residents

    • 3 residents

  • 7.

    About 40% of the workers in a factory are part-timers. 6 workers are on leave. The binomial distribution below displays the probabilities of the possible numbers of part-timers. Calculate the approximate probability of the longest bar.

    Answers:

    • 0.31

    • 0.34

    • 0.28

    • 0.36

  • 8.

    About 5% of the students in a class are left-handers. Mrs. Lee selects 7 students at random. The graph below displays the probabilities of all possible numbers of left-handers. What is the number of successes with the highest probability?

    Answers:

    • Six left-handers

    • Seven left-handers

    • No left-hander

    • One left-hander

  • 9.

    10% of the students in Mr. Brown's class missed their last weekly test. Mr. Brown chooses 5 students at random. The graph below shows the probabilities of all possible numbers of those who missed the last test. Which of the following options is the correct number of successes with the highest probability?

    Answers:

    • No student who missed the test

    • Three students who missed the test

    • One student who missed the test

    • Two students who missed the test

  • 10.

    About 35% of the mugs in a shop are imported from other countries. Sarah buys 6 mugs from the shop. The binomial distribution below indicates the probabilities of all possible numbers of imported mugs. Which of the given choices is the approximate probability of no success?

    Answers:

    • 0.03

    • 0.7

    • 0.07

    • 0.3

  • 11.

    About 20% of the employees in a company receive their payments through cheques. 5 employees of the company went abroad for vacations. The graph below represents the probabilities of all possible numbers of those who receive payments through cheques. Calculate the approximate probability of the longest bar.

    Answers:

    • 0.03

    • 0.41

    • 0.04

    • 0.33

  • 12.

    About 15% of the students in a class have their own pets. 7 students are preparing for an online examination. The binomial distribution below displays the probabilities of all possible numbers of students with their own pets. Find the approximate probability of the longest bar.

    Answers:

    • 0.03

    • 0.04

    • 0.3

    • 0.4

  • 13.

    About 25% of the workers in an organization are females. 4 workers were recruited last week. The binomial distribution below represents the probabilities of all possible numbers of female workers. What is the number of successes with the lowest probability?

    Answers:

    • 2 female workers

    • 3 female workers

    • 1 female worker

    • 4 female workers

  • 14.

    About 55% of the employees in an organization prefer tea. 5 employees are standing near an elevator. The binomial distribution below represents the probabilities of all possible numbers of tea lovers among those 5. What does the longest bar indicate?

    Answers:

    • The probability of having 2 employees who prefer tea among 5 standing near an elevator is the highest.

    • The probability of having 3 employees who prefer tea among 5 standing near an elevator is the highest.

    • The probability of having 4 employees who prefer tea among 5 standing near an elevator is the highest.

    • The probability of having 1 employees who prefer tea among 5 standing near an elevator is the highest.

  • 15.

    About 30% of the students in a school use e-books for clearing their doubts. 6 students were called into the principal's office. The following binomial distribution displays the probabilities of all possible numbers of those who use e-books. Determine the number of successes with the lowest probability.

    Answers:

    • 0

    • 6

    • 4

    • 5

  • 16.

    About 5% of the employees in an organization were on leave a day before. 4 employees are currently on leave. The binomial distribution below shows the probabilities of all possible numbers of having those employees who were on leave a day before. What does the longest bar indicate?

    Answers:

    • The probability of having two employees who were on leave is highest.

    • The probability of having one employee who was on leave is highest.

    • The probability of having no employees who were on leave is highest.

    • The probability of having three employees who were on leave is highest.

  • 17.

    About 10% of the blubs manufactured by a company are defective. Arina buys 7 bulbs from the company. The following binomial distribution represents the probabilities of all possible numbers of defective bulbs. Determine the approximate probability of the longest bar.

    Answers:

    • 0.48

    • 0.38

    • 0.03

    • 0.13

  • 18.

    About 20% of the students in a class are allergic to dust. 5 students are chosen at random. The binomial distribution given below illustrates the probabilities of all possible numbers of having students with dust allergies. Choose the correct option that represents the number of successes with the highest probability.

    Answers:

    • No students with dust allergies

    • All 5 students with dust allergies

    • 1 student with dust allergies

    • 2 students with dust allergies

  • 19.

    About 25% of the workers in a factory are going to retire soon. 4 workers are standing near the reception area. The binomial distribution below displays the probabilities of all possible numbers of those who will retire soon. Identify the approximate probability of the longest bar.

    Answers:

    • 0.42

    • 0.48

    • 0.38

    • 0.52

  • 20.

    35% of the students in Mrs. Smith's class are girls. She chooses 6 students at random to play a game. Which of the following options indicates the number of girls with the highest probability?

    Answers:

    • None of these

    • Exactly 2 girls

    • At least 2 girls

    • At most 2 girls

  • 21.

    About 15% of the workers in a factory are those who smoke. There are 5 workers eating their lunch in the garden. The binomial distribution below shows the probabilities of all the possible numbers of having those workers who smoke. Select the correct option that represents the number of successes with the highest probability.

    Answers:

    • 1

    • 0

    • 3

    • 2

  • 22.

    40% of the residents of an area exercise daily to keep their bodies healthy. There are 5 residents from the same area sitting in a garden. The graph below represents the probabilities of all possible numbers of residents who exercise daily. What does the shortest bar indicate?

    Answers:

    • The probability of all 5 residents who do not exercise daily is the least.

    • The probability of all 5 residents who exercise daily is the maximum.

    • The probability of all 5 residents who do not exercise daily is the maximum.

    • The probability of all 5 residents who exercise daily is the least.

  • 23.

    About 5% of the cities in a country receive no rainfall. 6 cities are chosen at random. The distribution below illustrates the probabilities of all possible numbers of those cities. What does the longest bar indicate?

    Answers:

    • The probability of having no city without rainfall is minimum.

    • The probability of having all 6 cities without rainfall is maximum.

    • The probability of having all 6 cities without rainfall is minimum.

    • The probability of having no city without rainfall is maximum.

  • 24.

    About 10% of the boys in grade 7 are good at football. A class teacher writes the names of 6 boys in her diary. The graph shown below displays the probabilities of all possible numbers of having those names who are good at football. Determine the approximate probability of the longest bar.

    Answers:

    • 0.53

    • 0.55

    • 0.5

    • 0.57

  • 25.

    About 45% of the students in Mr. Jack's class scored more than 80 marks on the mathematics tests. He calls out 5 names randomly. The graph below is the binomial distribution for the same. Determine the correct option that represents the number of successes with the lowest probability.

    Answers:

    • 4

    • 1

    • 5

    • 0

  • 26.

    About 25% of the biscuits Revan bakes are gluten-free. He picks up 5 biscuits at random. The binomial distribution for the same is shown below. Select the correct option that represents the number of successes with the lowest probability.

    Answers:

    • 3

    • 4

    • 0

    • 5

  • 27.

    Given that 15% of the employees in an organization use public transport to go to work, 6 employees are sitting in the meeting room. The distribution below indicates the probabilities of all possible numbers of employees who use public transport. Identify the approximate probability of the longest bar.

    Answers:

    • 0.4

    • 0.38

    • 0.5

    • 0.48

  • 28.

    About 40% of the adults in a country are immigrants from another country. 4 adults are sitting near the bus stop. The binomial distribution displays the probabilities of all possible numbers of immigrants. What does the shortest bar indicate?

    Answers:

    • The probability of having all 4 immigrants is the least.

    • The probability of having 3 immigrants is the least.

    • The probability of having no immigrants is the least.

    • The probability of having 2 immigrants is the maximum.

  • 29.

    About 55% of the students in a university are freshmen. There are 5 students who applied for scholarships. The histogram below is the binomial distribution for probabilities of all possible numbers of freshmen who applied for scholarships. Which of the following options indicate the number of successes with the lowest probability?

    Answers:

    • 3

    • 1

    • 0

    • 5

  • 30.

    About 30% of the individuals in an area spend more than 5 hours using the internet. 7 individuals were chosen at random. The following binomial distribution displays the probabilities of all possible numbers of having those individuals who spend more than 5 hours using the internet. Choose the correct option that represents the number of successes with the lowest probability.

    Answers:

    • 5

    • 7

    • 6

    • 0

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