Leo is a very active dog that

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. Leo is a very active dog that requires long walks at least 3 times a day. Assume that the following is
the distribution of the number of times Leo goes for long walks.
3 4 5
p(x) 0.1 0.6 0.3
Assume that the number of times Leo goes for long walks is independent from day to day.
A. Find the sampling distribution of the mean number of times Leo goes for walks of two randomly
selected days. That is, n=2. Hint: Let X,, X2 be the number of times Leo goes for walks in the first and
second randomly selected days. You are asked to determine the sampling distribution of X = Xi+2.
2
B. What is the sampling distribution of the mean of 40 randomly selected days (n=40)?
C. What the probability that the average of 40 randomly selected days is more than 4.1?
Transcribed Image Text:1. Leo is a very active dog that requires long walks at least 3 times a day. Assume that the following is the distribution of the number of times Leo goes for long walks. 3 4 5 p(x) 0.1 0.6 0.3 Assume that the number of times Leo goes for long walks is independent from day to day. A. Find the sampling distribution of the mean number of times Leo goes for walks of two randomly selected days. That is, n=2. Hint: Let X,, X2 be the number of times Leo goes for walks in the first and second randomly selected days. You are asked to determine the sampling distribution of X = Xi+2. 2 B. What is the sampling distribution of the mean of 40 randomly selected days (n=40)? C. What the probability that the average of 40 randomly selected days is more than 4.1?
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