) Compute P(1

Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.53 pounds and a standard deviation of 3.16 pounds.a) What is the probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds? Give your answer to four decimal places.  b) Let X represent the weight of a randomly selected bag. For what value of c is P(E(X) - c < X < E(X) + c)=0.96? Give your answer to four decimal places.  c) Assume the weights of individual bags are independent. What is the expected number of bags out of a sample of 17 that weigh greater than 50 lbs? Give your answer to four decimal places.  d) Assuming the weights of individual bags are independent, what is the probability that 8 or fewer bags weigh greater than 50 pounds in a sample of size 17? Give your answer to four decimal places

A carpet company advertises that it will deliver your carpet within 16 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 17.1 days. The standard deviation of the population (?) is known to be 5.6 days. (a) State the null and alternative hypotheses (in days) for a test to determine if their advertisement is legitimate. (Enter != for ≠ as needed.) H0:       Ha:       (b) Using the critical value approach, test the hypotheses. Let ? = 0.05. Compute the test statistic. (Round your answer to two decimal places.)   Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic≤test statistic≥ State your conclusion. Reject H0. There is sufficient evidence to conclude that their advertisement is not legitimate.Do not reject H0. There is insufficient evidence to conclude that their advertisement is not legitimate.    Do not…

Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000. If you took a sample of size n = 400, what is the standard deviation of that sample?