A small class has 10 students. Seven of the students are male and 3 are female.
ID: 3133081 • Letter: A
Question
A small class has 10 students. Seven of the students are male and 3 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 four trials with a name corresponding to a male student. The random variable X has which of the following probability distributions? the Normal distribution, with mean 3 and variance 1 the binomial distribution, with parameters n = 5 and p = 0.3 * the binomial distribution, with parameters n = 5 and p = 0.7
Explanation / Answer
A small class has 10 students. Seven of the students are male and 3 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 four trials with a name corresponding to a male student. The random variable X has which of the following probability distributions?
the Normal distribution, with mean 3 and variance 1
the binomial distribution, with parameters n = 5 and p = 0.3
the binomial distribution, with parameters n = 5 and p = 0.7
probability of male =7/10=0.7
Number of trials =n=5