Question

Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at most, 15 students play a sport. Should a binomial probability density function or cumulative distribution function be used? Explain. (4 points)

Answer 1

A binomial probability density function should be used to represent the probability

How to determine the type of probability density?

The given parameters are:

• Proportion that plays sport, p = 32%
• Number of students selected, p = 50
• The probability, P = (x ≤ 15)

The proportion that plays sport indicates that

68% of the students do not play sport

So, we have two events, which are

• Play sport
• Do not play sport

When there are two possible events, then the binomial probability density function should be used

Read more about binomial probability density at:

brainly.com/question/15246027

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