Please show how to solve. thanks A. U(2, 15). Find P(x 7) Round answer to three

Question

Please show how to solve. thanks

A. U(2, 15). Find P(x 7) Round answer to three decimal places. A distribution X 0.538 0.385 0.615 0.467 B. Let x represent the number which shows up when a balanced die is rolled. Then x is a random variable with a mean of 3.5 and a standard deviation of 1.71 Let x denote the mean of the numbers obtained when the die is rolled 38 times. Determine the sampling distribution of x , and give its mean and standard deviation. Normal, mean 3.5, standard deviation0.28 Approximately normal, mean 3.5, standard deviation0.28 Normal, mean 3.5, standard deviation0.05 Approximately normal, mean3.5, standard deviation1.71

Explanation / Answer

SolutionA:

mean=2

sd=15

P(X<7)

P(Z<7-2/15)

P(Z<0.33)

=0.615

ANSWER:0.615

Solution B:

According to central limit theorem,

n=38 large sample follows normal distribution

sample mean =x bar=mu=3.5

sample sd=sigma/sqrt(n)

=1.71/sqrt(38)

=0.28

OPTION B

Approxiamtey normal,mean=3.5 sd=0.28

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