If np 25 and nq25, estimate P(fewer than 8) with n= 14 and p=0.6 by using the normal distribution as an approximation to the binomial distribution; if np <5 or nq < 5, then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. P(fewer than 8) = (Round to four decimal places as needed.) O B. The normal approximation is not suitable.

Find the are below 13 for a N(15,5) distribution

he population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.   For a sample of n=65​, find the probability of a sample mean being greater than 217 if μ=216 and σ=3.5. For a sample of n=65​, the probability of a sample mean being greater than 217 if μ=216 and σ=3.5 is nothing. ​(Round to four decimal places as​ needed.) Would the given sample mean be considered​ unusual?   The sample mean ▼   would not would be considered unusual because it ▼   does not lie lies within the range of a usual​ event, namely within ▼   1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.

Explain how to decide when a normal distribution can be used to approximate a binomial distribution. Choose the correct answver below O A. If np 0 and nq > 0, the normal distribution can be used. O C. If np 5 and nq 5, the normal distribution can be used. O D. If np 2 5 and nq 5, the normal distribution can be used. Click to select your answer.

If np 25 and ng 2 5, estimate P(at least 4) with n= 13 and p = 0.4 by using the normal distribution as an approximation to the binomial distribution; if np <5 or ng < 5, then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. P(at least 4) = (Round to three decimal places as needed.) O B. The normal distribution cannot be used.

find the mean, variance, and standard deviation for each of the values of n and p when the conditions for the binomial distribution are met. Round your answers to three decimal places as needed. n=, 325 p=0.36