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In: Statistics and Probability

Suppose that at a large university 30% of students are involved in intramural sports. If we...

Suppose that at a large university 30% of students are involved in intramural sports. If we randomly select 12 students from this university, what is the probability that no more than 4 of these students are involved in intramural sports?

Solutions

Expert Solution

Solution:

p = 30% = 0.30

q = 1 - p = 0.70

n = 14

x: number of students nvolved in intramural sports

Using Binomial distribution

P ( no more than 4 students are involved in intramural sports) = p(X<=4)

= 0.5842 ( using binomial table )

P ( no more than 4 students are involved in intramural sports) = 0.5842

Binomial table for n = 14 and p = 0.30

orchestra answered 1 year ago
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