Test: Final Exam Submit Test or This Question: 1 pt 35 of 35 (29 complete) This

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Test: Final Exam Submit Test or This Question: 1 pt 35 of 35 (29 complete) This Test: 35 pts possible x T The lengths of a particular anima s pregnancies are appro mately norma dist buted wth me an -251 days and (a) What proportion of pregnancies lasts more than 266 days? (b) What proportion of pregnancies lasts between 236 and 257 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 227 days? (d) A very preterm" baby is one whose gestation period is less than 224 days. Are very preterm babies unusual? a dar de ation 2 Tima Lim Click the icon to view a table of areas under the normal curve (a) The proportion of pregnancies that last more than 266 days is Round to four decimal places as needed) (b) The proportion of pregnancies that last between 236 and 257 days Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 227 days is sts its a(d) A "very preterm" baby is one whose gestation period is less than 224 days. Are very preterm babies unusual? The probability of this event isI soit be unusual because the probability is | than 0.05. rests (Round to four decimal places as needed) ter ter 1 pter 1 Enter your answer in each of the answer boxes

Explanation / Answer

a)  =251, sd=12, X'>266 days we need to check the prob for that

z= (X'- )/(sd) = (266-251)/12 =1.25

and so the prob is P(Z>1.25) = 1-0.8943502 = 0.1056498

b) now for X'=236 and X'=257 we need to find z value

z=(236-251)/12 = -1.25 &

z=(257-251)/12 = 0.5

& so from the z table the area between -1.25 and 0.5 is 0.5858127

so the probability between 236 and 257 is 0.5858127

c) now for X' < 227 is

z=(227-251)/12 = -2

and so from the z table the probability is 0.02275013

d) now for X'<224

z=(224-251)/12 = -2.25

and so from the z table the probability is 0.01222447 So we can say that premature baby be unusual bcz the prob is less than 0.05

Hope the above explaination has helped you in understanding the problem Pls upvote the ans if it has really helped you. Good Luck!!

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