Question

In: Statistics and Probability

At your university, 40% of the undergraduates are from out of state. If you randomly select...

At your university, 40% of the undergraduates are from out of state. If you randomly select six of the undergraduates, what is the probability that

(a) All are from within the state?


(b) All are from out of state?


(c) Exactly two are from within the state?


(d) At least four are from within the state?

Solutions

Expert Solution

Answer:

Given that:

At your university, 40% of the undergraduates are from out of state. If you randomly select six of the undergraduates

Binomial probability distribution is

P(X) = nCx px (1 - p)n-x

a) All are from within the state?

P(Within state) = 1- 0.40 = 0.60

P(X = 6) = 6C6  

b)  All are from out of state?

P(out of state) = 0.40

P(X = 6) = 6C6

c) Exactly two are from within the state?

P(Within state) =  

P(X = 2) = 6C2

d) At least four are from within the state?

P(Within state)

= 6C4 +6C5 +6C6

orchestra answered 2 years ago
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