Question

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 = 30, p = 0.2, and X = 15 P(X) = (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? A. Yes, the normal distribution can be used because np(1 - p) < 10. B. No, the normal distribution cannot be used because np(1 - p) < 10. C. Yes, the normal distribution can be used because np(1 - p) ? 10. 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. A. P(X) = (Round to four decimal places as needed.) 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. A. (Round to four decimal places as needed.) B. The normal distribution cannot be used.

          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 = 30, p = 0.2, and X = 15
P(X) = (Round to four decimal places as needed.)
Can the normal distribution be used to approximate this probability?
A. Yes, the normal distribution can be used because np(1 - p) < 10.
B. No, the normal distribution cannot be used because np(1 - p) < 10.
C. Yes, the normal distribution can be used because np(1 - p) ? 10.
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.
A. P(X) = (Round to four decimal places as needed.)
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.
A. (Round to four decimal places as needed.)
B. The normal distribution cannot be used.
        
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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 = 30, p = 0.2, and X = 15
P(X) = (Round to four decimal places as needed.)
Can the normal distribution be used to approximate this probability?
A. Yes, the normal distribution can be used because np(1 - p) < 10.
B. No, the normal distribution cannot be used because np(1 - p) < 10.
C. Yes, the normal distribution can be used because np(1 - p) ? 10.
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.
A. P(X) = (Round to four decimal places as needed.)
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.
A. (Round to four decimal places as needed.)
B. The normal distribution cannot be used.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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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 = 30, p = 0.2, and X = 15 P(X) = (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? A. Yes, the normal distribution can be used because np(1 - p) < 10. B. No, the normal distribution cannot be used because np(1 - p) < 10. C. Yes, the normal distribution can be used because np(1 - p) ≥ 10. 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. A. P(X) = (Round to four decimal places as needed.) 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. A. (Round to four decimal places as needed.) B. The normal distribution cannot be used.
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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 = 30, p = 0.2, and X = 15 P(X) = (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? A. Yes, the normal distribution can be used because np(1 - p) < 10. B. No, the normal distribution cannot be used because np(1 - p) < 10. C. Yes, the normal distribution can be used because np(1 - p) ≥ 10. 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. A. P(X) = (Round to four decimal places as needed.) 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. A. (Round to four decimal places as needed.) B. The normal distribution cannot be used.

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Transcript

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00:01 Compute the probability of x using the binomial probability formula, then determine whether the normal distribution can be used to estimate this probability.
00:09 So n is 60, p is 0 .15, and we're trying to find the probability of x equals 20.
00:19 So using binomial probability, we would say 60 combination 20 times 0 .15 to the 20th power times 0 .85 to the 20th power times 0 .85 to the, the 40th power.
00:35 And calculating that is going to give us 0 .002 using a calculator.
00:40 I definitely recommend that...
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