Question

7.4.19-T Question Help 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 72, p 0.81, and x 65 For n 72, p 0.81, and x 65, find P(x) using the binomial probability distribution P(x) 0.0148 (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? A. No, the normal distribution cannot be used because np(1 p)<10 B. Yes, the normal distribution can be used because np(1 - p) 10. OC. No, the normal distribution cannot be used because np(1 p)2 10 O D. Yes, the normal distribution can 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)=|0.0533| (Round to four decimal places as needed.) B The normal distribution cannot be used to approximate the binomial distribution in this case.

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Answer 1

9 -n. 0-19 Given Datas : n=22 PEGSI * = 65 a) P(X=65) = new xp ex qme = ??C GO x 0.8185 x 0,192-65 = 1473109704 x 1.12548 x176 x 019? P(X=65) = 0.0148 b) mp (1-P) 72x08 1 x (0.19) = 12.0808 710 Yes the normal distribution can be used because np(2-1) = 1.0808 ZIO option B is correct PCX=65) normal distribution- Meam M = np : 72x0.81. = 58.32 Standard deviation - Sopar = 1.080= 3.328 PCX =65) - P[64:55X2.65-5) 164.5-58.32 P 3.3288 3.3288 3:32 pro <z2 ) - P$19565 <2<2-157] = P[222.157) -P[z<7.8565] from 2 table = 0.9845 -0.9683; Plx=4) = 0.0162 65.5 - 58.327 < < <