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:

Child Abuse

Physical, sexual, or psychological maltreatment or neglect of a child, especially by a parent or a caregiver.

Contributing Factor

An element or circumstance that plays a significant role in leading to a particular outcome or event.

Older Persons

Individuals who are in the later stages of their life, typically those considered senior citizens or the elderly.

Suffer Abuse

To experience harm or mistreatment, often repeatedly, from someone in a position of power or trust.