Question

In: Statistics and Probability

The proportion of male students at SIBT is known to be 62%. Assume students are randomly...

The proportion of male students at SIBT is known to be 62%. Assume students are randomly assigned to tutorial groups.

What is the probability that there would be fewer than 10 males in a tutorial group of 25 students? (4dp) Answer
What is the probability that there would be more than 18 males in a tutorial group of 25 students? (4dp)

Expert Solution

X : number of male students in tutorial group.

X ~ bin (n,p)

where, n= 25

p = 62% = 0.62

q = (1-0.62 )= 0.0.38

the pmf of the distribution is :-

a).the probability that there would be fewer than 10 males in a tutorial group of 25 students is:-

b). the probability that there would be more than 18 males in a tutorial group of 25 students is:-

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orchestra answered 2 years ago

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