Stats help At a local community college 56 of students who e

Stats help

At a local community college, 56% of students who enter the college as freshmen go on to graduate. Eight freshmen are randomly selected. a. What is the probability that none of them graduates from the local college? (Round your intermediate calculations and final answer to 4 decimal places.) Probability b. What is the probability that at most seven will graduate from the local college? (Round your intermediate calculations and final answer to 4 decimal places.) Probability c. What is the expected number that will graduate? Expected number

Solution

p=0.56, q=0.44, n=8, k=0

a) Probability none of them gradiuate from college =8C0p⁰q⁸=1.40*10^-3

^b)Probability at most seven pf them graduate from local college= 1-probability all of them graduate from local colelge=1-8C8p⁸q⁰=1-9.67*10^-3=0.990

c) Expected number will graduate= 56% of 8=4 student