At a local community college, 40% of students who enter the college as freshmen

Question

At a local community college, 40% of students who enter the college as freshmen go on to graduate. Ten freshmen are randomly selected. a. What is the probability that none of them graduates from the local community college? (Do not round intermediate calculations. Round your final answers to 4 decimal places.) Probability b. What is the probability that at most nine will graduate from the local community college? (Do not round intermediate calculations. Round your final answers to 4 decimal places.) Probability c. What is the expected number that will graduate? (Round your final answer to the nearest whole number.) Expected number

Explanation / Answer

p is 0.4 and N is 10

this is binomial distribution and can be solved using MS Excel

a) P(x=0)=BINOM.DIST(0,10,0.4,FALSE) =0.00605

b) P(x<=9)=1-P(x=10)=1-BINOM.DIST(10,10,0.4,FALSE)=0.999895

c) expected value is n*p=10*0.4=4

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.