Question: a. Find E (x) and interpret its value. E (X) = (Type an integer or a decimal. Do not round.) Interpret the value of E

 a. Find E (x) and interpret its value. E (X) =(Type an integer or a decimal. Do not round.) Interpret the valueof E (x) . Select the correct choice below and fill in

the answer box to complete your choice. (Type an integer or adecimal. Do not round.) A. If many random samples of 96 transformersare taken, then the mean of the sample variances is sags per

a. Find E (x) and interpret its value. E (X) = (Type an integer or a decimal. Do not round.) Interpret the value of E (x) . Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. If many random samples of 96 transformers are taken, then the mean of the sample variances is sags per week. O B. If many random samples of 96 transformers are taken, then the mean of the sample mean numbers of says per week is O C. If many random samples of 96 transformers are taken, then the mean of the sample standard deviations is sags per week. O D. For any random sample of 96 transformers, the mean number of sags per week is always b. Find Var (x) . Var () = (Type an integer or a decimal. Round to three decimal places as needed.) c. Describe the shape of the sampling distribution of x. The sampling distribution of x with mean - = and standard deviation o; = (Type integers or decimals, Rc d. How likely is it to observe a is approximately uniformly distributed ceeds 3707 The probability of such a samp is approximately distributed as x2 (Type an integer or a decimal. Is approximately normally distributedd. How likely is it to observe a sample mean number of sags per week that exceeds 370? The probability of such a sample mean isAccording to a study of the power quality [sags and swells} of a transformer. for transformers built for heavy industry. the distribution of the number of sags per week has a mean of 351 with a standard deviation of T2. Oi interest is it, the sample mean number of sags per week for a random sample of 215 transformers. Complete parts a through d below

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