Question

me lengths of a particular animal's pregnancies are approximately normally distributed, with mean p=272 days and standard deviation o = 20 days. ) What proportion of pregnancies lasts more than 277 days? What proportion of pregnancies lasts between 262 and 287 days? c) What is the probability that a randomly selected pregnancy lasts no more than 267 days? d) A "very preterm baby is one whose gestation period is less than 227 days. Are very preterm babies unusual? a) The proportion of pregnancies that last more than 277 days is (Round to four decimal places as needed) (b) The proportion of pregnancies that last between 262 and 287 days is a (Round to four de cimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 267 days is (Round to four decimal places as needed.) (d) The probability of a "very preterm" baby is This event unusual because the probability is than 0.05 (Round to four decimal places as needed.) Enter your answer in each of the answer boxes

Answer 1

X= length of a particular animals pregance NN (U=292,0? (293) 1) The proportion of pregancies last more than 2017 days P ( X ) 277) (*: *= 3 20 20 VUITLE P(x-de 277-4) P (2) 277-272 = P(215 = P( 2 > 0,25 = 0.4013 Ans. the proportion of pregancies last more than 211 dagen de proportion of pregancies that lasts bet 262 to 287 days =P (2622X Z287 = P(? 262-272 X-272 287-212 -0,25 12) The 0:4013 20 20 20 =P(-0.5 (Z <0.75 P(Z 40.5) -P(270195 -0.5. EL-P (29015-P(230.75) 0.75 1 0.3085 - 0.2266 - 2-6.5351 0 9649

Dete Pone 3) The probability that randomly selected lasts no more than. 267 days 20 P(XC 267) P ( x-M L 269-14 = P(2 2 267-272 272) =P (Z <=0,35) = P (27 025) = 0.4013 -2.5 215 o 20 4) The probability of overy preterm baby whose gestation period is less than 227 days in sop (X. (227) It - P.( =P(Z < 227-2012 = P(2 <-225) - P (2) 2.25) 0.02224 This event is usually unsual Because its - 2.25 2,25 o 0.05 probability is less than DOSSO Photo