Question

30. You want to simulate an experiment to draw cards out of a deck. You
plan to draw 35 cards (with replacement), and list which card you drew. How
many times would you expect to draw a face card?

6

8

12

10

Answer 1

Using the binomial distribution, you would expected to draw a face card 8 times.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For this problem, the parameters are given as follows:

• n = 35, as the experiment will be repeated 35 times.

• p = 12/52, as of the 52 cards, there are 12 faces, hence this is the probability of a success on a single trial.

Then the expected value is found as follows:

E(X) = np = 35 x 12/52 = 420/52 = 8.

Thus, you would expected to draw a face card 8 times.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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