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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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.
Transcribed Image 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.
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