Calculating the Mean or Expected Value of a Geometric Distribution

  • 1.

    About 5% of the employees in a company have continuous muscle fiber activity syndrome. Some of the workers are called by their boss. What is the expected number of employees without syndrome before encountering one with the syndrome?

    Answers:

    • 18

    • 19

    • 21

    • 20

  • 2.

    About 30% of the adults in an area play online games. Peter meets some of the adults at a party. Determine the expected number of adults encountered to meet the first one who plays online games.

    Answers:

    • 3

    • 7

    • 5

    • 9

  • 3.

    About 60% of the babies sleep more than 10 hours. Some of the babies visited a physician with their parents. Find the expected number of babies encountered before meeting a baby who sleeps more than 10 hours.

    Answers:

    • 7

    • 6

    • 2

    • 1

  • 4.

    About 70% of the workers come to work in their vehicles. The manager calls out some names to reach one who came in his vehicle. Which of the following options represents the mean of the geometric distribution?

    Answers:

    • 8

    • 2

    • 7

    • 1

  • 5.

    About 42% of the students know how to swim. Mrs. Liza chooses students until she gets one who can swim. Calculate the expected number of students selected before selecting who knows how to swim.

    Answers:

    • 4

    • 3

    • 2

    • 1

  • 6.

    About 90% of the cakes in a bakery are baked in a traditional furnace. The owner chooses some cakes before he gets one baked in the traditional furnace. What is the expected number of trials for choosing a cake baked in a traditional furnace?

    Answers:

    • 4

    • 3

    • 1

    • 2

  • 7.

    About 68% of the babies resemble their mothers. Identify the expected number of the trails to choose the first one that resembles his/her mother.

    Answers:

    • 1

    • 2

    • 4

    • 3

  • 8.

    About 60% of the bulbs in a box are fused. Select the expected number of bulbs chosen for reaching a fused bulb.

    Answers:

    • 3

    • 2

    • 6

    • 7

  • 9.

    About 20% of the students study online. Mr. Bill selects some students before he gets one who studies online. Which of the following options matches the mean of the geometric distribution?

    Answers:

    • 6

    • 5

    • 4

    • 7

  • 10.

    There is a 50% chance of getting heads in a toss of a fair coin. Ruby tosses a coin several times until she gets the head. Find the expected number of tails to reach the first head.

    Answers:

    • 20

    • 5

    • 2

    • 50

  • 11.

    About 95% of the employees in a company like coffee. The manager calls employees to his office until he meets one who likes coffee. What is the expected number of employees encountered before meeting one who likes coffee?

    Answers:

    • 0

    • 1

    • 5

    • 9

  • 12.

    About 70% of the cards in a deck are golden. Fiza shuffles the deck until she gets a golden card at the top. Determine the expected number of shuffles to get the first golden card at the top.

    Answers:

    • 7

    • 2

    • 1

    • 3

  • 13.

    There is a chance of 45% that Mary loses in a match. She plays until she loses. Choose the expected number of matches she plays before she loses for the first time.

    Answers:

    • 1

    • 3

    • 4

    • 2

  • 14.

    About 35% of the babies in the children's ward are vaccinated. A nurse calls out the names of the parents to reach those parents whose baby is vaccinated. Which of the given options represents the mean of the geometric distribution?

    Answers:

    • 5

    • 2

    • 4

    • 3

  • 15.

    About 10% of the ice cream in an ice cream parlor are sugar-free. The owner picks up different ice cream until he gets a sugar-free one. Evaluate the expected number of ice cream he picks before getting one he needs.

    Answers:

    • 10

    • 8

    • 9

    • 11

  • 16.

    Jack has a sack with about 15% of the pebbles blue in color. He draws pebbles from the bag until he gets one blue in color. What is the expected number of pebbles he draws to get a blue one?

    Answers:

    • 9

    • 10

    • 7

    • 15

  • 17.

    About 43% of the students like mathematics. Mrs. Jonson meets students one by one until she meets one who likes mathematics. Identify the expected number of students she meets before meeting one who likes mathematics.

    Answers:

    • 3

    • 2

    • 1

    • 4

  • 18.

    About 78% of the people in an area are obese. Find the expected number of trails to encounter the first obese one.

    Answers:

    • 1

    • 8

    • 2

    • 7

  • 19.

    About 80% of the workers in a company have experience of more than 3 years. The manager of the company selects workers until he selects one who has experience of more than 3 years. Which of the given options best suits the mean of the geometric distribution?

    Answers:

    • 0

    • 1

    • 2

    • 3

  • 20.

    About 30% of the books in a book store are on sale. Ajam picks books randomly until he gets one with the sale. Calculate the expected number of books he picks to reach one with the sale.

    Answers:

    • 5

    • 2

    • 3

    • 4

  • 21.

    About 7% of the employees in an organization do their work manually, while others' job is computer-based. What is the expected number of employees encountered before meeting one who works manually?

    Answers:

    • 14

    • 13

    • 15

    • 12

  • 22.

    About 25% of the students in a school play outdoor games. Determine the expected number of students met to reach the first one who plays outdoor games.

    Answers:

    • 25

    • 12

    • 8

    • 4

  • 23.

    About 29% of the adults in an area like book reading. Sarah pays visits to that area. Select the expected number of adults met before meeting one who likes book reading.

    Answers:

    • 3

    • 29

    • 1

    • 2

  • 24.

    There is about a 50% chance that Ree scores a goal in a football match. He tries until he makes his first goal. Which of the given choices represents the mean of the geometric distribution?

    Answers:

    • 50

    • 25

    • 2

    • 1

  • 25.

    About 20% of the workers in a company donate blood. Arjan wants to meet a worker who donates. Find the expected number of people met before meeting one who donates blood.

    Answers:

    • 10

    • 4

    • 5

    • 8

  • 26.

    About 85% of the sweaters in a box are hand-knitted. Arina chooses sweaters until she gets the first hand-knitted one. What is the expected number of trials to find a hand-knitted one?

    Answers:

    • 3

    • 2

    • 4

    • 1

  • 27.

    About 25% of the packed cakes are egg-less. Mia picks packed cakes one by one until she gets an egg-less one. Identify the expected number of cakes picked before getting an egg-less cake.

    Answers:

    • 3

    • 25

    • 5

    • 20

  • 28.

    About 10% of the students in a university applied for the scholarship program. Mrs. Brown calls some students until she meets one who has applied for the scholarship. Choose the expected number of students she meets to reach one who has applied for the scholarship.

    Answers:

    • 10

    • 9

    • 12

    • 11

  • 29.

    About 52% of the employees in an organization work from home. The HR manager invites all its employees to a party of the organization, where he meets each employee. Which of the given choices matches the expected number of employees she meets before meeting one who works from home?

    Answers:

    • 1

    • 52

    • 26

    • 2

  • 30.

    About 33% of the adults in a state can ride horses. Evaluate the expected number of adults encountered for meeting one who can ride a horse.

    Answers:

    • 4

    • 30

    • 3

    • 33

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