III. A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9.1. Complete the following normal curve with the appropriate x-values and z-scores.2. Determine the probability of the following.a. P(x < 3.9)*b. P(x > 5.8)*c. P(4.3 < x < 5.3)*

For the given set of data (which is distributed normally), it is given that: mean, μ=5.1standard…

Answered: III. A set of data has a normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) ? = 15.4; ? = 3.7 P(10 ≤ x ≤ 26) = 2. assume that x has a normal distribution with the specified mean and standard deviation. find the indicated probabilty. (Round your answer to four decimal places.) ? = 101; ? = 15 P(x ≥ 120) = 3. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) ? = 2.9; ? = 0.37 P(x ≥ 2) =
1. Consider a Normal Distribution of Mean = 50 and Standard Deviation of 10. A. Find the Z-score of 75 B. Use probability calculator to approximate P(x > 75), round to the nearest ten- thousandth. C. Approximate the IQR for this Normal Distribution
On average, indoor cats live to 12 years old with a standard deviation of 2.4 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that an indoor cat dies when it is between 9.8 and 10.8 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years High: years
Private nonprofit four-year colleges charge, on average, $26,340 per year in tuition and fees. The standard deviation is $7,250. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 28,896 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 38 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X - N( b. Find the probability that a randomly selected fat calorie percent is more than 44. c. Find the minimum number for the lower quarter of percent of fat calories.
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The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 2 b. Find the probability that a randomly selected person with a kidney stone will take longer than 11 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
Los Angeles workers have an average commute of 34 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X2 X N b. Find the probability that a randomly selected LA worker has a commute that is longer than 39 minutes. c. Find the 85th percentile for the commute time ofLA workers minutes
Los Angeles workers have an average commute of 31 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. Find the probability that a randomly selected LA worker has a commute that is longer than 37 minutes. c. Find the 70th percentile for the commute time of LA workers. minutes
Rental car transaction times are uniformly distributed between 15 and 35 minutes. a. P( transaction takes less than 20 minutes) b. P(transaction takes more than 29 minutes) c. P( transaction takes between 18 and 30 minutes) d. P(transaction takes exactly 19 minutes) e. What is the mean transaction time? f. Determine the standard deviation.
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 17 b. What is the median giraffe height? 17 0.9 ft. c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.1 feet tall? f. The 85th percentile for the height of giraffes is e. What is the probability that a randomly selected giraffe will be between 17.9 and 18.8 feet tall? ft.
Los Angeles workers have an average commute of 30 minutes. Suppose the LA commute tíme is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. Find the probability that a randomly selected LA worker has a commute that is longer than 36 minutes. c. Find the 85th percentile for the commute time of LA workers. minutes

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III. A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. 1. Complete the following normal curve with the appropriate x-values and z-scores. X 2. Determine the probability of the following. a. P(x <3.9)* b. P(x > 5.8)* A c. P(4.3 < x < 5.3)*