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Based on your reasoning that the location of the second hand of a clock when the teacher walks through the door would be uniformly distributed from 0 to 60 seconds. a) Determine the probability density function, f(x), for x = the location of the second hand of the clock when the teacher walks through the door. b) Determine the mean of x, x, and standard deviation of x, ox. c) Determine the probability the second hand of the clock when the teacher walks through the door on a randomly selected day will be between 27 and 33 seconds, i.e., P(27 < x < 33). d) For simple random samples of size n = 30, determine the mean of the sampling distribution of x, μž,

Based on your reasoning that the location of the second hand of a clock when the teacher walks through the door would be uniformly distributed from 0 to 60 seconds. a) Determine the probability density function, f(x), for x = the location of the second hand of the clock when the teacher walks through the door. b) Determine the mean of x, x, and standard deviation of x, ox. c) Determine the probability the second hand of the clock when the teacher walks through the door on a randomly selected day will be between 27 and 33 seconds, i.e., P(27 < x < 33). d) For simple random samples of size n = 30, determine the mean of the sampling distribution of x, μž,

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 30CR
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3. Based on your reasoning that the location of the second hand of a clock when the teacher walks through the door would be uniformly distributed from 0 to 60 seconds. a) Determine the probability density function, f(x), for x = the location of the second hand of the clock when the teacher walks through the door. b) Determine the mean of x, ux, and standard deviation of x, σx. c) Determine the probability the second hand of the clock when the teacher walks through the door on a randomly selected day will be between 27 and 33 seconds, i.e., P(27 < x < 33). d) For simple random samples of size n = 30, determine the mean of the sampling distribution of X, μž, and standard deviation of the sampling distribution of x,σx. e) Determine the probability of the mean of x for a sample of size 30 will be between 27 and 33 seconds, i.e., P(27 < x < 33).
Transcribed Image Text:3. Based on your reasoning that the location of the second hand of a clock when the teacher walks through the door would be uniformly distributed from 0 to 60 seconds. a) Determine the probability density function, f(x), for x = the location of the second hand of the clock when the teacher walks through the door. b) Determine the mean of x, ux, and standard deviation of x, σx. c) Determine the probability the second hand of the clock when the teacher walks through the door on a randomly selected day will be between 27 and 33 seconds, i.e., P(27 < x < 33). d) For simple random samples of size n = 30, determine the mean of the sampling distribution of X, μž, and standard deviation of the sampling distribution of x,σx. e) Determine the probability of the mean of x for a sample of size 30 will be between 27 and 33 seconds, i.e., P(27 < x < 33).
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