The average precipitation for the first 7 months of the year is 19.32 inches with a standard deviation of 2.4 inches. Assume that the average precipitation is normally distributed. i. What is the average precipitation of 5 randomly selected years for the first 7 months? ii. What is the probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months? iii. Compute the z-score for precipitation of 18 inches for 5 randomly selected years for the first 7 months iv. What is the probability of 5 randomly selected years will have an average precipitation greater than 18 inches for the first 7 months?

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Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F

Team A: 6,6,7,7,6,5,6,5,4,5 Team B: 2,2,3,8,9,9,9,9,10,10 a. Compute the mean number of shots made for each team b. Compute the standard deviation for each team c. Compute a Z-score for the individual from team A that made 4 shots d. Compute a Z-score for the individual from team B who made 10 shots e. Using non-statistical language, write several sentences describing the difference in the free-throw shooting abilities between the two teams

The average amount of money spent for lunch per person in the college cafeteria is $5.99 and the standard deviation is $2.1. Suppose that 49 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. For the group of 49 patrons, find the probability that the average lunch cost is between $5.77 and $6.08.

Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55 minutes. What is the standard deviation of the commuting time?

Suppose that an airport reports that the average time it takes for a person to get through security in 25 minutes. Assume the variable is approximately normally distributed with a standard deviation of 4.5 minutes. If 102 people were selected at random, how many would be expected to make it through security in less than 20 minutes? Approximately _________would make it through in less than 20 minutes.

5. The mean birth weight for babies born one month early is 2630 grams. Assume that the population has a standard deviation of 220 grams. Sketch the distribution of birth weights (in grams) of children born one month early. Calculate probability of a child born one month early with a birth weight between 2100 grams and 2900 grams. Find the weight which corresponds to the top 25% of birth weights for babies born one month early.

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 67 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected person at the hot springs stays longer then 77 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount?  minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: (.        ) minutesQ3: (         )minutesIQR:(         )minutes PLEASE ANSWER ALL 3 SUBS B, C, AND D

* Your answer is incorrect. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i 98.80