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6.3.27 ga Assigned Media | Question Help * The length pregnancies are normally d

ID: 3320956 • Letter: 6

Question

6.3.27 ga Assigned Media | Question Help * The length pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days a Find he probab of a pregnancy as ng 309 days or onger. b. f the ength of eg sn hel est2% then the baby is premature. Find the length that separates premature babies from those who are not premature Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 309 days or longer is Round to four decimal places as needed.)

Explanation / Answer

a) P(X>309)=1-P(X<309)=1-P(Z<(309-266)/15)=1-P(Z<2.8667)=1-0.9979 =0.0021

for 2 percenitle critical value of z =-2.0537

hence corresponding length =266-2.0537*15 =235 days