Probability and Statistics Quiz: Understanding Distributions

Quiz 6 Question 1 1. The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing more than 241.25 pounds is 0.45 05 0.04 95 0.95 05 0.90 10 0.5 points Question 2 1. The time required to assemble a part of a machine follows an exponential probability distribution with a mean of 14 minutes. What is the probability that the part can be assembled in 7 minutes or less? (4 Decimal format = 0.0000) 0.5891 ??? formula issue -- . 3935???? 0.5 points Question 3 1. A continuous random variable is uniformly distributed between a and b. The probability density function between a and b is zero (a - b) (b - a) 1/(b - a) 0.5 points Question 4 1. The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. The probability that she will finish her trip in 80 minutes or less is Page 1 of 3

Quiz 6 0.0 2 0.8 0.2 1.0 0 0.5 points Question 5 1. A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is different for each interval the same for each interval Either a or b could be correct depending on the magnitude of the standard deviation. None of the alternative answers is correct. 0.5 points Question 6 1. The uniform probability distribution is used with a continuous random variable a discrete random variable a normally distributed random variable any random variable 0.5 points Question 7 1. The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing less than 250 pounds is Page 2 of 3

Quiz 6 0.47 72 0.97 72 0.05 28 0.50 00 0.5 points Question 8 1. For the standard normal distribution, determine the probability of obtaining a z value between -2.34 to -2.55 (4 Decimal format = 0.0000) .0042???? 0.5 points Question 9 1. The miles-per-gallon obtained by the 1995 model Q cars is normally distributed with a mean of 22 miles-per-gallon and a standard deviation of 5 miles-per-gallon. What is the probability that a car will get less than 21 miles- per-gallon? (4 Decimal format = 0.0000) .4207??? 0.5 points Question 10 1. A standard normal distribution is a normal distribution with a mean of 1 and a standard deviation of 0 a mean of 0 and a standard deviation of 1 any mean and a standard deviation of 1 any mean and any standard deviation 0.5 points Page 3 of 3

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