MATH 302 week 3 test.docx mostly tested exam questions with well detailed answers

MATH 302 week 3 mostly tested exam questions with well detailed answers Part 1 of 6 - Binomial Distribution 2.0/ 5.0 Points Question 1 of 20 0.0/ 1.0 Points It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma? (That is, what is P(X<6) (keep 4 decimal places) Answer: 0.0352 Answer Key:0.8555 Feedback: P(x < 6) = P( , in Excel =BINOM.DIST(5,8,0.5,TRUE) Question 2 of 20 1.0/ 1.0 Points Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the P(X ≥ 15) using Excel. Round answer to 4 decimal places. Answer: 0.9995 Answer Key:0.9995 Feedback: P(x = 1 - P(x , in Excel =1-BINOM.DIST(14,25,0.85,TRUE) Question 3 of 20 0.0/ 1.0 Points It is known that 20% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is the probability that 5 or more of them have a high school diploma? (That is, find P(X≥5) (keep 4 decimal places) Answer: 0.9736 Answer Key:0.0328 Feedback: P(x = 1 - P( , in Excel =1-BINOM.DIST(4,10,0.2,TRUE) Question 4 of 20 1.0/ 1.0 Points If random variable X has a binomial distribution with n =8 and P(success) = p =0.5, find the probability that X is at most 3. (That is, find P(X ≤ 3)) (keep 4 decimal places) Answer: 0.3633