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Calculating the Standard Deviation of a Hypergeometric Distribution

  • 1.

    A crate has 20 red towels and 10 yellow towels. Susan buys 5 towels from the crate. What is the standard deviation of the number of successes, if red towels are considered a success?

    Answers:

    • 0.78

    • 0.88

    • 0.98

    • 0.68

  • 2.

    20 out of 80 cans in a shop are of brewed coffee. Anna bought 50 cans from the shop for a small gathering. Calculate the standard deviation of the given hypergeometric random variable. (Assume that brewed coffees are considered a success).

    Answers:

    • 1.86

    • 1.92

    • 1.95

    • 1.89

  • 3.

    16 out of 100 women workers in a company have computer knowledge. The owner of the company rewarded 5 women workers for their hard work. Which of the following options is the standard deviation for the number of successes? (Assume that workers with computer knowledge are considered a success).

    Answers:

    • 0.9

    • 0.8

    • 1.1

    • 1

  • 4.

    50 out of 150 books in a section of the library are based on real-life stories. Each of 70 students of Mrs. Smith's class took a book. Select the correct standard deviation for the given random variable. ((Assume that real-life stories are considered a success).)

    Answers:

    • 2.99

    • 2.79

    • 2.69

    • 2.89

  • 5.

    A box contains 50 chocolates. 35 chocolates are handmade. Oliver eats 5 chocolates from the box. Find the standard deviation of the given hypergeometric random variable. (Assume that handmade chocolates are considered a success).

    Answers:

    • 0.98

    • 0.95

    • 0.97

    • 0.96

  • 6.

    A school has 55 female and 45 male teachers. 10 of them have joined recently. What is the standard deviation of the number of successes? (Assume that female teachers are considered a success).

    Answers:

    • 2.5

    • 1.5

    • 1.9

    • 2.9

  • 7.

    Mr. Brown's class has 22 girls and 18 boys. 5 of his students form a choir in the church. Evaluate the standard deviation of the given hypergeometric random variable. (Assume that girls are considered a success).

    Answers:

    • 1.75

    • 1.25

    • 1.05

    • 1.5

  • 8.

    18 cakes out of 50 cakes baked in a bakery are sugar-free. Teresa who works at the same bakery delivered 10 cakes to different locations. Which of the following choices is the standard deviation for the number of successes? (Assume that sugar-free cakes are considered a success).

    Answers:

    • 1.43

    • 1.47

    • 1.33

    • 1.37

  • 9.

    A crate has 15 milk packets. 3 milk packets are full-fat. Susan buys 5 packets at random. Determine the correct standard deviation for the given random variable. (Assume that full-fat milk packets are considered a success).

    Answers:

    • 0.76

    • 0.86

    • 0.66

    • 0.56

  • 10.

    Evelyn's pet shop has 44 female and 56 male dogs. A veterinary doctor observes 10 dogs. Calculate the standard deviation of the given hypergeometric random variable. (Assume that female dogs are considered a success).

    Answers:

    • 1.35

    • 1.62

    • 1.5

    • 1.8

  • 11.

    80 students in a college of 300 students are freshmen. 100 students applied for the scholarship programs. What is the standard deviation of the number of successes? (Assume that freshmen are considered a success).

    Answers:

    • 3.62

    • 2.96

    • 3.39

    • 3.74

  • 12.

    There are 21 computer engineers and 19 mechanical engineers who applied for jobs in a company. The recruiter selected 5 engineers. Find the standard deviation of the given hypergeometric random variable. (Assume that computer engineers are considered a success).

    Answers:

    • 1.14

    • 1.06

    • 0.95

    • 1.28

  • 13.

    A sack contains 100 tiles. 20 tiles are golden in color. Diana chooses 50 tiles from the sack without replacement. Which of the given options is the standard deviation for the number of successes? (Assume that golden tiles are considered a success).

    Answers:

    • 2.07

    • 2.01

    • 2.03

    • 2.05

  • 14.

    A small village has 800 well-educated individuals. 200 of them are females. Tia meets 100 educated individuals to have a discussion on her solar project. Choose the correct standard deviation for the given random variable. (Assume that female villagers are considered a success).

    Answers:

    • 6.07

    • 4.05

    • 5.31

    • 3.09

  • 15.

    In a small nursery of 150 plants, 30 plants are hybrids. A scientist inspects 50 different plants in a day. Evaluate the standard deviation of the given hypergeometric random variable. (Assume that hybrid plants are considered a success).

    Answers:

    • 2.32

    • 2.22

    • 1.22

    • 1.32

  • 16.

    A bag has 25 cards. 15 cards are blue in color and the others are red. William gives 6 cards to his little brother. What is the standard deviation of the number of successes? (Assume that blue cards are considered a success).

    Answers:

    • 1.07

    • 0.07

    • 1.09

    • 0.09

  • 17.

    In an organization 70 females are married while 30 are unmarried. 6 females are at higher positions of the organization. Find the standard deviation of the given hypergeometric random variable. (Assume that married females are considered a success).

    Answers:

    • 1.7

    • 1.1

    • 1.5

    • 1.3

  • 18.

    A bag has 26 green and 24 blue marbles. Toby draws 5 marbles at random. Which of the given choices is the standard deviation for the number of successes? (Assume that green marbles are considered a success).

    Answers:

    • 1.07

    • 1.09

    • 1.05

    • 1.03

  • 19.

    A bag has 11 white and 9 black balls. Sarah draws 6 balls at random without replacement. Identify the correct standard deviation for the given random variable. (Assume that white balls are considered a success).

    Answers:

    • 1.05

    • 0.91

    • 0.99

    • 0.81

  • 20.

    Mary bakes 40 cookies. 10 cookies have honey in them. Her aunt eats 5 cookies. Evaluate the standard deviation of the given hypergeometric random variable. (Assume that honey cookies are considered a success).

    Answers:

    • 0.92

    • 1.15

    • 1.05

    • 0.82

  • 21.

    There are 5 doctors and 15 nurses in a hospital and their names are written on chits. Anna draws 3 chits at random. What is the standard deviation of the number of successes? (Assume that doctors are considered a success).

    Answers:

    • 0.69

    • 0.71

    • 0.67

    • 0.73

  • 22.

    200 mangoes out of 1,000 mangoes imported by a shop are Alphonso. Liza buys 250 mangoes for her cafe. Calculate the standard deviation of the given hypergeometric random variable. (Assume that Alphonso mangoes are considered a success).

    Answers:

    • 5.58

    • 4.58

    • 5.48

    • 4.48

  • 23.

    There are 8 chemists and 7 physicians in an area. Their contact numbers are written on a phone book. William dials 5 numbers randomly without repeating dialed ones. Which of the following options is the standard deviation for the number of successes? (Assume that chemists are considered a success).

    Answers:

    • 0.64

    • 0.74

    • 0.84

    • 0.94

  • 24.

    3 out of 10 men have curly hair. 4 men are managers in different organizations. Select the correct standard deviation for the given random variable. (Assume that men with curly hair are considered a success).

    Answers:

    • 0.75

    • 0.73

    • 0.83

    • 0.85

  • 25.

    A club has 22 females and 28 males. 10 of the club members are involved in volunteering. Find the standard deviation of the given hypergeometric random variable. (Assume that female members are considered a success).

    Answers:

    • 1.42

    • 1.52

    • 1.72

    • 1.62

  • 26.

    A bag has 35 yellow and 45 green cards. Christine gives 10 cards to his younger brother. What is the standard deviation of the number of successes? (Assume that yellow cards are considered a success).

    Answers:

    • 1.48

    • 1.38

    • 1.44

    • 1.34

  • 27.

    8 out of 200 women in an area suffer from depression and anxiety. 5 women from those 200 were awarded in a function. Calculate the standard deviation of the given hypergeometric random variable. (Assume that the women suffering from depression and anxiety are considered a success).

    Answers:

    • 0.51

    • 0.43

    • 0.54

    • 0.47

  • 28.

    100 beads out of 1,000 beads in a bag are silver in color. Tiana makes a garland using 200 beads. Which of the following choices is the standard deviation for the number of successes? (Assume that silver beads are considered a success).

    Answers:

    • 2.07

    • 3.8

    • 2.85

    • 3.4

  • 29.

    A box contains 26 chits with letters A to Z. Sarah draws 10 chits at random without replacement to notice the number of vowels she gets. Determine the correct standard deviation for the given random variable. (Assume that vowels are considered a success).

    Answers:

    • 0.897

    • 0.955

    • 0.997

    • 0.855

  • 30.

    20 individuals out of 500 individuals in a club play hockey on weekends. 50 individuals of the club are graduates. Find the standard deviation of the given hypergeometric random variable. (Assume that hocket players are considered a success).

    Answers:

    • 2.09

    • 1.59

    • 1.82

    • 1.32

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