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. a. What is the distribution of X? X ~ N(,) b. Find the probability that the person is between 66.8 and 67.8 inches.  c. The middle 50% of Martian heights lie between what two numbers? Low:      inches High:     inches

Assume that adults have IQ scores that are normally distributed with a mean of u= 105 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ between 91 and 119. Click to view page 1 of the table. Click to view page 2 of the table. ces The probability that a randomly selected adult has an IQ between 91 and 119 is (Type an integer or decimal rounded to four decimal places as needed.) Exp The use

Scores for men on the verbal portion of the​ SAT-I test are normally distributed with a mean of 545   and a standard deviation of 112 . If 16 men are randomly​ selected, find the probability that their mean score is at least 590. a. Define the parameter     A. x overbar equals The mean score of 16 randomly selected men   B. x overbar equals The score of a randomly selected man   b. State the mean of x overbar ​: nothing   c. State the standard deviation of x overbar ​: nothing   ​(use 2 decimal​ places)   d. Find the​ z-score: nothing   ​(use 2 decimal​ places)   e. Find the​ probability: nothing   ​(use 4 decimal​ places)

Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)

Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest

Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.0082 O B. 0.8989 O C. 0.2881 O D. 0.9918 Next View Instructor Tip Calculator 809 PM 70°F Cloudy 10/8/2021 33 2 Type here to search 10/05/17 PrtSc Insert Delete AI F9 F10 F11 F12 F7 F8 F5 F6 Esc F3 F4 F1 & Backspace Num Lock C@ %23 5 7 080 3 T. Y కాం Home C Tab H. K Enter G A CapsLk 1 Shift C V N End hift PgUp Alt Ctrl End + |/ A MI 小 44

The mean time taken by all participants to run a road race was found to be 110 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 80 to 140 minutes. Round your answer to the nearest integer. of

The scores on a mathematics exam have a mean of 70 and a standard deviation of 6. Find the x-value that corresponds to the z-score 5.19. O 64.8 O 121.9 O 18.1 O 101.1