(5.20) A selective college would like to have an entering class of 1200 students. Because not...
(5.20) A selective college would like to have an entering class of 1200 students. Because not all students who are o↵ered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students admitted will accept. The college decides to admit 1500 students. Assuming that students make their decisions independently, the number who accept has the B(1500, 0.7) distribution. If this number is less than 1200, the college will admit students from the waiting list.
(a) What are the mean and the standard deviation of the number X of students who accept?
(b) Use the normal approximation to find the probability that at least 1000 students accept.
(c) The college does not want more than 1200 students. What is the probability that more than 1200 will accept?
(d) If the college decides to increase the number of admission o↵ers to 1700, what is the probability that more than 1200 will accept?
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(5.20) A selective college would like to have an entering class
of 1200 students. Because not...
A selective college would like to have an entering class of 1200. Because not all students...
A selective college would like to have an entering class of 1200. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students will accept. The college decides to admit 1500 students. Assuming that students make their decision independently, the number who accept, X, has the Bin(1500, 0.70) distribution. If this number is lower than 1200, the college will admit students from its waiting list.What is...
A selective college would like to have an entering class of 1000 students. Because not all...
A selective college would like to have an entering class of 1000 students. Because not all students who are offered admission accept, the college admits more than 1000 students. Past experience shows that about 83% of the students admitted will accept. The college decides to admit 1200 students. Assuming that students make their decisions independently, the number who accept has the B(1200, 0.83) distribution. If this number is less than 1000, the college will admit students from its waiting list....
A college is targeting to accept 150 new PhD students for Fall 2020. Our college knows...
A college is targeting to accept 150 new PhD students for Fall 2020. Our college knows from past experience that, on the average, 30 percent of students who received the admission offer will actually accept the offer and attend our college. Let us assume the college makes offers to a total of 450 students. What is the probability that more than 150 of these students will accept the offer and attend our college?
31% of college students say they use credit cards because of the rewards program. You randomly...
31% of college students say they use credit cards because of the rewards program. You randomly select 10 College students and ask each to name the reason he or she uses re- cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
32% of college students say they use credit cards because of the rewards program. You randomly...
32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
28% of college students say they use credit cards because of the rewards program. You randomly...
28% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the pro
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone,...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X=the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters B. Find the probability that 8 students...
38% o college students say they use credit cards because of the rewards program You randomly...
38% o college students say they use credit cards because of the rewards program You randomly select 10 college students and ask each to name he reason he she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two (b) more than two and (c) between two and five inclusive. If convenient, use technology to find the probabilities. (a) P(2)-□ (Round to the...
31%of college students say they use credit cards because of the rewards program. You randomly select...
31%of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities. (a)P(2)= (Round to the nearest...
26. In a random sample of 95 college students, 40 wished they would have chosen a...
26. In a random sample of 95 college students, 40 wished they would have chosen a different major. Use the following steps to construct a 95% confidence interval for the true proportion of all students who wished they would have chosen a different major. a. Find the number of sample values, n b. Find the sample proportion, B c. Find the critical z-score, 2/2 d. When calculated correctly, E = 0.0993. Construct a confidence interval for the population proportion, p....
31% of college students say they use credit cards because of the rewards program. You randomly select 10 College students and ask each to name the reason he or she uses re- cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X=the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters B. Find the probability that 8 students...
38% o college students say they use credit cards because of the rewards program You randomly select 10 college students and ask each to name he reason he she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two (b) more than two and (c) between two and five inclusive. If convenient, use technology to find the probabilities. (a) P(2)-□ (Round to the...
26. In a random sample of 95 college students, 40 wished they would have chosen a different major. Use the following steps to construct a 95% confidence interval for the true proportion of all students who wished they would have chosen a different major. a. Find the number of sample values, n b. Find the sample proportion, B c. Find the critical z-score, 2/2 d. When calculated correctly, E = 0.0993. Construct a confidence interval for the population proportion, p....
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