A Riley is a music DJ. So far, her average playing time per day is 5 hours, with a standarddeviation of 1 hour. What is the probability that, on the next 30 days, her average playing timeis less than 4.5 hours?

The random variable X follows normal distribution. We have to find the probability that on the next…

Answered: 4 Riley is a music DJ. So far, her…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Keith is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than usual. When he weighs one of the sticks, he finds that it is 2.23 oz. The manufacturer's website states that the average weight of each stick is 1.85 oz with a standard deviation of 0.18 oz. Assume that the weight of the drumsticks is normally distributed. What is the probability of the stick's weight being 2.23 oz or greater? Give your answer as a percentage precise to at least two decimal places. You might find this table of standard normal critical values useful.
A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?
One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’ recommendations. One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’…
You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p = 0.61. What is the probability that ita. takes 2 games until you lose. b. takes 5 games until you lose. c. Find the mean c. Find the standard deviation.

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4 Riley is a music DJ. So far, her average playing time per day is 5 hours, with a standard deviation of 1 hour. What is the probability that, on the next 30 days, her average playing time is less than 4.5 hours?