Compute P(X) using the binomial probability formula. Then determine whether the

Question

Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probab ity. If so approximate P(X) using the normal distribution and compare the result with the exact probability n 50, p -0.2, and X 15 P(X) (Round to four decimal places as needed Can the normal distribution be used to approximate this probability? O A. Yes, the normal distribution can be used because np(1 p) 10. O B. No, the normal distribution cannot be used because np(1 p)z 10 O C. Yes, the normal distribution can be used because np(1 p) z 10. O D. No, the normal distribution cannot be used because np(1 p) 10. Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. A. P(x) (Round to four decimal places as needed.) O B. There is no solution.

Explanation / Answer

a) P(X) = 0.0299

Yes, the normal distribution can be used because np(1-p)<10

b) mean = np = 50*0.2 = 10

varaiance = npq = 50*0.2*0.8 = 8

Standard deviation= 2.83

Option B) there is no solution ,because we cannot find the probability from normal z table for particular value of X, we can find values like P(X>= or <= )

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