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,
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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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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