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...


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<br>normal distribution and compare the result with the exact probability.<br>n= 54, p= 0.5, and X 35<br>For n= 54, p = 0.5, and X = 35, use the binomial probability formula to find P(X).<br>(Round to four decimal places as needed.)<br>Can the normal distribution be used to approximate this probability?<br>O A. No, because np(1-p) s 10<br>O B. Yes, because np(1- p) 2 10<br>O C. Yes, because np(1-p)2 10<br>O D. No, because np(1- p) s 10<br>Approximate P(X) using the normal distribution. Use a standard normal distribution table.<br>O A. P(X) = (Round to four decimal places as needed.)<br>O B. The normal distribution cannot be used.<br>By how much do the exact and approximated probabilities differ?<br>O A. (Round to four decimal places as needed.)<br>O B. The normal distribution cannot be used.<br>

Extracted text: 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= 54, p= 0.5, and X 35 For n= 54, p = 0.5, and X = 35, use the binomial probability formula to find P(X). (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? O A. No, because np(1-p) s 10 O B. Yes, because np(1- p) 2 10 O C. Yes, because np(1-p)2 10 O D. No, because np(1- p) s 10 Approximate P(X) using the normal distribution. Use a standard normal distribution table. 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? O A. (Round to four decimal places as needed.) O B. The normal distribution cannot be used.

Jun 09, 2022
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