Reference no: EM132855740
1.Patty arrives at a bus stop. The time she will have to wait for the bus is some time between 0 and 20 minutes with all wait times equally likely. What is the probability that Patty will have to wait less than 10 minutes? options 0.3, 0.4, 0.5, 0.6
2.A random variable X follows a uniform distribution with the following parameters: Minimum value a is 3 and maximum b value is 4.
What is the standard deviation of this random variable? options 0.5, 3.5, 0.083, 0.289
3.To raise workplace morale, a company decides to have a contest. They get a medium-sized, unusually shaped glass container and fill it with water; the contest is to guess the number of ounces of water in the container. The winner will receive an assortment of wines and cheeses. The distribution of errors (i.e., how far away each person's guess is from the correct answer) follows a standard normal distribution (i.e., a normal distribution with mean 0 and variance 1). What is the probability that a randomly chosen person's guess is within 1 ounce of the correct answer? options 0.500, 0.683, 0.866, 0.954
4.The random variable Z follows a standard normal distribution; that is, it is normal with mean 0 and standard deviation 1. Find P(Z<1). options 0.023, 0.067, 0.159, 0.500
5.The weight of golden hamsters follows a normal distribution with a mean weight of 4.3 ounces and a standard deviation of 0.25. What is the probability that a randomly chosen hamster's weight is between 4 and 4.5 ounces? options 0.288, 0.444, 0.576, 0.673
6.The weight of 3-month-old Bullmastiffs follow approximately a normal distribution with a mean of 120 pounds and a variance of 25 pounds. If your 3-month-old Bullmastiff is 115 pounds, how many standard deviations above or below the mean is your pet (i.e., find the Z-score)? options -2, -2, 0, 1.5
7.The amount of money that a car insurance company pays out in a given week on single-car accidents follows approximately a normal distribution with mean $45,000 and a standard deviation of $10,000. What is the probability that the insurance company will have to pay out more than $55,000 in a given week? options 0.159, 0.229, 0.312, 0.841
8.The amount of money that a car insurance company pays out in a given week on single-car accidents follows approximately a normal distribution with mean $45,000 and a standard deviation of $10,000. What is the 99th percentile of the amount the insurance company will need to pay out in a given week? options 21,736.52, 53,416.21, 61,448.54, 68,263.48
9.The distribution of NBA scores follows approximately a normal distribution with a mean of 102 and a variance of 81. What is the probability that a team from a randomly chosen game will score between 93 and 102 points in a given game? options 0.341, 0.500, 0.659, 0.954
10.The distribution of NBA scores follows approximately a normal distribution with a mean of 102 and a variance of 81. What is the 85th percentile of NBA scores? options 127.575, 111.328, 131.534, 140.973