Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n= 48, p=0.3, and X=6 For n= 48, p=0.3, and X=6, find P(X). 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) 2 10. O B. Yes, the normal distribution can be used because np(1-p)s 10. OC. No, the normal distribution cannot be used because np(1-p)< 10. O D. No, the normal distribution cannot be used because np(1-p)2 10. Approximate P(X) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice. O A. P(X) = (Round to four decimal places as needed.) O B. The normal distribution cannot be used. By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice. O A. (Round to four decimal places as needed.) The normal distribution cannot be used.

Let x be a continuous random variable that is normally distributed with a mean of 22 and a standard deviation of 5. Find to 4 decimal places the probability that x assumes a value a. between 26 and 34. Probability = i b. between 18 and 31. Probability i

Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n= 44, p 0.5, and X 27 ..... For n = 44, p= 0.5, and X = 27, use the binomial probability formula to find P(X). (Round to four decimal places as needed.)

Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(x) using the normal distribution and compare the result with the exact probability. n = 68, p = 0.71, and x = 53 Approximate P(x) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice. OA. P(x)= (Round to four decimal places as needed.) B. The normal distribution cannot be used to approximate the binomial distribution in this case. Compare the normal approximation with the exact probability. Select the correct choice below and fill in any answer boxes in your choice. OA. The exact probability is greater than the approximated probability by (Round to four decimal places as needed.) B. The exact probability is less than the approximated probability by (Round to four decimal places as needed.) OC. The exact and approximated probabilities are equal. O D. The normal distribution…