ompute P(x) using the binomial probabilnty formula. Then determine whetner 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= 83, p= 0.77, and x= 67 For n= 83, p= 0.77, and x = 67, find P(x) using the binomial probability distribution. 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)s 10. O B. No, the normal distribution cannot be used because np(1- p) 2 10. O C. Yes, the normal distribution can be used because np(1- p) 2 10. O D. No, the normal distribution cannot be used because np(1- p) < 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 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. O A. The exact probability is greater than the approximated probability by. OB. The exact probability is less than the approximated probability by OC. The exact and approximated probabilities are equal. O D. The normal distribution cannot be used to approximate the binomial distribution in this case.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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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= 83, p = 0.77, and x = 67
For n= 83, p = 0.77, and x= 67, find P(x) using the binomial probability distribution.
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)s 10.
O B. No, the normal distribution cannot be used because np(1- p) 2 10.
O C. Yes, the normal distribution can be used because np(1- p) 2 10.
O D. No, the normal distribution cannot be used because np(1- p)< 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 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.
O A. The exact probability is greater
the approximated probability by
O B. The exact probability is less than the approximated probability by
OC. The exact and approximated probabilities are equal.
O D. The normal distribution cannot be used to approximate the binomial distribution in this case.
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= 83, p = 0.77, and x = 67 For n= 83, p = 0.77, and x= 67, find P(x) using the binomial probability distribution. 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)s 10. O B. No, the normal distribution cannot be used because np(1- p) 2 10. O C. Yes, the normal distribution can be used because np(1- p) 2 10. O D. No, the normal distribution cannot be used because np(1- p)< 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 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. O A. The exact probability is greater the approximated probability by O B. The exact probability is less than the approximated probability by OC. The exact and approximated probabilities are equal. O D. The normal distribution cannot be used to approximate the binomial distribution in this case.
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