Question

6. (10pt) Fifty percent of all the students in Palisades High said they eat only pizza for lunch. A random sample of three students from Palisades High is selected. What is the probability , to four decimal places, that exactly 2 eat only pizza for lunch.

Answer 1

Binomial Distribution

n = 3

p = 0.5

q = 1 - p = 0.5

$P(X=2)=\binom{3}{2}\times 0.5^{1}\times 0.5^{2}=3\times 0.5\times 0.25=0.3750$

So,

Answer is:

0.3750