In the country of United States of Heightlandia, the hieght measurements of ten-year-old children are approximately normally distributed with a mean of 54.4 inches, and standard deviation of 2.1 inches.   A. What is the probability that a randomly chosen child has a height of less than 51.35 inches? ______________Round to 3 decimal places   B. What is the probaility that a randomly chosen child has a height of more than 56.9 inches? ___________Round to 3 decimal places.

Los Angeles workers have an average commute of 31 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible.a. Find the probability that a randomly selected LA worker has a commute that is longer than 27 minutes. b. Find the 70th percentile for the commute time of LA workers.  minutes

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.3 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that the person is between 62 and 63.9 inches. c. The middle 40% of Martian heights lie between what two numbers? Low: inches High: inches

Student scores on Professor of Stats final exam are normally distributed with a mean of 73 and a standard deviation of 6.5Find the probability of the following:**(use 4 decimal places)**a.) The probability that one student chosen at random scores above an 78. ________b.) The probability that 20 students chosen at random have a mean score above an 78. _________c.) The probability that one student chosen at random scores between a 68 and an 78. __________d.) The probability that 20 students chosen at random have a mean score between a 68 and an 78. __________

Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car.a. What is the distribution of X? X ~ N( ________ , ________)b. If one car is randomly chosen, find the probability that it is traveling more than 62 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 71 mph. Round to 4 decimal places.

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 65 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. %3D b. Find the probability that the person is between 62.4 and 65.3 inches. c. The middle 30% of Martian heights lie between what two numbers? Low: inches High: inches

A population of values has a normal distribution with mean 191.4 and standard deviation of 69.7. A random sample of size n = 153 is drawn. A. Find the probability that a single randomly selected value is between 188 and 206.6 round your answer to four decimal places. P=______________ B. Find the probability that a sample of size n=153 is randomly selected with a mean between 188 and 206.6. Round your answer to four decimal places. P=________________

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

The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High: