Question

3.57-T Question Help According to the most recent data, 9.7% of engineers (electrical, mechanical, civil, and industrial) were women. Suppose a random sample of 75 engineers is selected. a. How likely is it that a random sample of 75 people will contain 9 or more women in these positions? b. How likely is it that the random sample will contain fewer than 5 women in these positions? c. U the random sample included 150 engineers, how would this change your answer to part b?

Answer 1

) If sample size m= 150 .'l= np = 150 x00097 = 14.55 6 = Inpy Isox 0.097 X 0.903 = 3.62 11 prxcs) -x) 5-14.55 3-62 -) = 'p(24-2.64) (from 2-table) 0.0041 prxc5) = 0.0041

Answer we have x = Number of women engineers R= 0.097 X w Binom (n = 75 HPE 0.097) XN NE np. npq2 XA NC 1. 245 | 6 S69) U = 7.235 2-56 a) ad Now we have to compute. pl people will contain g or more women in these position ) PCX29) I - pcx<9) P(x-4 9-7-275 s) 2-56 = l-plec0.67) 0.7486 (from 2-table) 0.2514 -T -T P(x29) = 0.2514 b) PC fewer PIXLs) than Pf 5 women in these position) cs-7-275 X-4 2.56 7 RCZ -0.89) 0:1867 (from 2-table) PC XC 5) 0,1867