Compute using the determine whether the normal distribution can be used to estim

Question

Compute using the determine whether the normal distribution can be used to estimate this probabilty ifso, approxmate PO) using the normal distribution and compare the result with the exact probabilty n 60, p 0.15, and x 20 Poky (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 npM1 p)-10 O B. No, the normal distribution cannot be used because npi1-p)- 10 O c. No, the normal distribution cannot be used because npi1-p) D. Yes, the normal distribution can bo used because noxt-pla ware conect choice below and in any answer toxes in your choice Click to select your answerts).

Explanation / Answer

P(x)= x/ N = 20/60 = 0.3333

n*p*(1-p) = 60 * 0.15 * 0.85 =7.65 < 10. So the normal distribution can be used. Option (A) is correct.

The actual and approximated probability differs by = 0.3333-0.15 = 0.1833

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