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

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2. The random variable, X, representing the number of cherries in a cherry cake, has the following
probability distribution:
7
0.1
P(X=x) 0.2
0.4
0.3
a) Find the mean u and the variance a of X.
b) Find the mean ug and the variance ož 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: 7 0.1 P(X=x) 0.2 0.4 0.3 a) Find the mean u and the variance a of X. b) Find the mean ug and the variance ož of the sampling distribution & for random samples of 36 cherry cakes.
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