Given: A random variable, X, that is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days. a. What is the median value of X? b. What is z-score for X = 10? c. What is the probability X assumes values less than 5.3? d. What is the probability X assumes values greater than 6?

Assume the heights of faculty at Champlain College are normally distributed with a mean of 68.1 inchesand a standard deviation of 1.3 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College faculty membershorterthan 67.5 inches tall?A. 0.0668B. 0.3228C. 0.5001D. 0.6772E. 0.9332

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6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?

Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . What is the standard deviation using the conceptual definition? That is, what is the average distance from the data points to the mean?   A. 5.34   B. 4.09   C. 2.58   D. 7.29

1. Assume that IQ are normally distributed with a mean of 100 and standard deviation of 15. For a sample of 25 adults, find the probability that their mean IQ score will be greater than 90?

4. The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 25 minutes and a standard deviation of 3 minutes. Find the probability that the time between taking the medication and getting relief is as follows. a. At least 30 minutes b. At most 20 minutes 5. All incoming freshmen at a major university are given a mathematics diagnosti exam. The scores are normally distributed with a mean of 120 and a standa deviation of 25. If a student scores less than a certain score, he or she will have undergo an intervention program. Find the cutoff score at which 64% of the stude would have to undergo the intervention program. 2021.04.10 09:47

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 3​%,then the baby is premature. Find the length that separates premature babies from those who are not premature.

Waiting time for service at a Bank has a mean of 65 seconds and a standard deviation of 25 seconds. The Bank manager assures that the probability of waiting should not exceed 99.3% for 1.6 standard deviations from the average wait time. If a customer waits 1.6 standard deviations exceeding the average wait time, what is the expected wait time for this customer in seconds (Assume wait time is normally distributed)? O a. 123.16 O b. 25.00 O c. 125.22 O d. 105.00 O e. 126.43 Of. 124.14