Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 45 minutes and standard deviation 22 minutes. A researcher observed 11 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-NO b. What is the distribution of ? - N c. What is the distribution of Σx? Σx - N I-

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 270 feet and a standard deviation of 42 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X N( b. Find the probability that a randomly hit fly ball travels less than 302 feet. Round to 4 decímal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet

Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 80 | 7 b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 87 mph. d. 71% of all cars travel at least how fast on the freeway? mph. Hint:

Suppose that speed at which cars go on the freeway is normally with 71 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places were possible.

I only need help on D-F and H, please.

Suppose that the number of Facebook friends users have is normally distributed with a mean of 149 and a standard deviation of about 41. Assume fifteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a.  What is the distribution of x̄? x̄ - N  -----------, ---------- b.  For the group of 15, find the probability that the average number of friends is less than 156. ------------- c.  Find the first quartile for the average number of Facebook friends. Round to 2 decimals places. --------------- d.  For part b), is the assumption that the distribution is normal necessary?  ------------No, --------- yes

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74 minutes and a standard deviation of 17 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. a. What is the distribution of X? X - N b. Find the probability that a randomly selected person at the hot springs stays longer then 85 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 (1QR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes

Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 67 b. If one car is randomly chosen, find the probability that it is traveling more than 64 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. d. 83% of all cars travel at least how fast on the freeway? mph. Add Work Check Answer

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 63 minutes and a standard deviation of 15 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. a. What is the distribution of X? X N( b. Find the probability that a randomly selected person at the hot springs stays longer then 68 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: minutes Q3: minutes IQR: minutes

V3qZFDvprW. Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 40 minutes and standard deviation 21 minutes. A researcher observed 48 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( С. c. What is the distribution of x? x - N( Gin... d. If one randomly selected student is timed, find the probability that this student's time will be between 35 and 37 minutes. e. For the 48 students, find the probability that their average time studying is between 35 and 37 minutes. f. Find the probability that the randomly selected 48 students will have a total study time more than 2064 minutes. g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 15% of the total study time for groups of 48 students will be given a sticker that says "Great dedication". What is the least total…