A Small Class Has 10 Students

question 29

Multiple Choice

A small class has 10 students. Seven of the students are male and three are female. You write the name of each student on a small card. The cards are shuffled thoroughly, and you choose one at random, observe the name of the student, and replace it in the set. The cards are thoroughly reshuffled, and you again choose a card at random, observe the name, and replace it in the set. This is done a total of five times. Let X be the number of cards observed in these five trials with a name corresponding to a male student. The random variable X has which of the following probability distributions?

• A)the Normal distribution, with mean 3 and variance 1
• B)the binomial distribution, with parameters n = 5 and p = 0.3
• C)the binomial distribution, with parameters n = 5 and p = 0.7
• D)None of the answer options is correct.

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Definitions:

Haploid Stage

A phase in the life cycle of an organism where its cells contain only one set of chromosomes, typical of gametes.

Gamete

A mature haploid male or female germ cell which is able to unite with another of the opposite sex in sexual reproduction to form a zygote.

Spermatogenesis

The process by which male spermatozoa are produced, involving meiosis and subsequent maturation.

Oogenesis

Production of eggs in females by the process of meiosis and maturation.