2. The random variable X, representing the number of cherries in a cherry cake, has the following probability distribution: X 4 5 6 7 P(X=x) 0.2 0.4 0.3 0.1 a) Find the mean u and the variance o² of X b) Find the mean ux and the variance o²x of the sampling distribution for random samples of 36 cherry cakes.

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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2. The random variable X, representing the number of cherries in a cherry cake, has the
following probability distribution:
X
4
5
6
7
P(X=x)
0.2
0.4
0.3
0.1
a) Find the mean u and the variance o² of X
b) Find the mean μx and the variance o²x of the sampling distribution for random
samples of 36 cherry cakes.
Transcribed Image Text:2. The random variable X, representing the number of cherries in a cherry cake, has the following probability distribution: X 4 5 6 7 P(X=x) 0.2 0.4 0.3 0.1 a) Find the mean u and the variance o² of X b) Find the mean μx and the variance o²x of the sampling distribution for random samples of 36 cherry cakes.
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