According to a study, the time between taking a pain reliever and getting relief is normally distributed with a mean of 39 minutes and a standard deviation of 9.1 minutes. Let XX be the time between taking a pain reliever and getting relief.Describe the probability distribution of X and state its parameters μ and σ: is ( μ=, σ= )Find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient isless than 12 minutes. (Round the answer to 4 decimal places)between 12 and 43 minutes. (Round the answer to 4 decimal places)more than 19 minutes. (Round the answer to 4 decimal places)

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Answered: According to a study, the time between…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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According to a study, the time between taking a pain reliever and getting relief is normally distributed with a mean of 39 minutes and a standard deviation of 9.1 minutes. Let XX be the time between taking a pain reliever and getting relief.

Describe the probability distribution of X and state its parameters μ and σ: is ( μ=, σ= )
Find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is
1. less than 12 minutes. (Round the answer to 4 decimal places)
2. between 12 and 43 minutes. (Round the answer to 4 decimal places)
3. more than 19 minutes. (Round the answer to 4 decimal places)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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