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Take a Test- NITHA CHARLES Google Chrome Secure I https://www.mathxl.com/Student/PlayerTest aspx?testld-158019085&centerwin; yes STA2023 STATISTICs s 11:00 AM 1:45 PM STEVE ROIG-wATNIK 56%511 Quiz: Quiz #20: Section 6.3 [Unit 3] 4/21/17 recommended Time Remaining This Question: 1 pt 7 of 12 (0 complete) This Quiz: 12 pts possible Question Help The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer b. If the length of pregnancy is in the lowest 4%. then the baby is premature. Find the length that separates premature from those who are not premature. Click to view page 1 of the table. Click to view page 2 of he table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before days are considered premature. (Round to the nearest integer as needed) Enter your answer in each of the answer boxes 11 59pm

Explanation / Answer

mean = 267

standard deviation = 15

a)

z value for 308 is (308-267)/15 = 2.7333, correspoding p value using z table is 0.9969

P(X<308) = 0.9969

P(X>308) = 1-0.9969 = 0.0031

probablity that a pregnancy will last 308 days and longer is 0.0031

b)

let the length that spereate sthe premature babies be l

P(X<l) = 0.04

z value for . p=0.04 using z table is -1.7507

(l-308)/15 = -1.7507

l = 308 - 1.7507*15 = 281.7395 ~ 282

Babies who are born on or before 282 days are considered premature

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