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Take a Te Secure https://www.mat Test aspo?testld 1600363868 centerwin ST210-802 Statistical Reasoning and Applicatons Test: ST 210 Spring 2017 Final Exam Time Remaining: 01:1607 Submit Test This Question: 3 pts. 7 of 20 (5 complete v This Test: 60 pts possib E Question Hep The mean incubation tme for a type of fertilized egg kept at 100.7 F is 23days Suppose that the incubaton times are approximately nomaly distributed with a standard deviation of 2 days. la) What is the probability that a randomly selected fertilized egg hatches inless than 19days? (b) What is the probabilty that a randomly selected fertilized egg takes over 2T days to hatch? (clWhat is the probability that a randomly selected fertilized egg hatches between 21 and 23 days? (d) Would it be unusual for an egg to hatch in less than 18 days? Why? (a) The probability that a randomly selected fertized egg hatches in less than 19 days is (Round to four decimal places as needed (b) The probability that a randomly selected fertilized egg takes over 27 days to hatch is (Round to four decimal places The probabity that a randomly selected fertizedegg hatches between 21 and20 daysis (Round to four decimal places as needed) The probability of this event is soit be unusual because the probability (Round to four decima places as Enter your answer in each of the answer boxes

Explanation / Answer

A. probability less than 19 days?

P(X<19) = P((X-mean)/s <(19-23)/2)

=P(Z<-2)

=0.0228                                   (http://sampson.byu.edu/courses/z2p2z-calculator.html)

B. probability t takes over 27 days to hatch

P(X>27) = P(Z>(27-23)/2)

                = 1- P(Z<(27-23)/2)

                 =1- 0.97725

                =0. 2275                  (http://sampson.byu.edu/courses/z2p2z-calculator.html)

P(Z>27) =0.0228                 

C. What is the probability that a randomly selected fertilized egg hatches between 21 and 23 days? (4 decimals)

P(21<X<23) = P((21-23)/2 <Z< (23-23)/2)

                        =P(-1 < Z < 0)

                        =P(Z<0) – P(Z<-1)

                        = P(Z<0)-[1-P(Z<1)]

                        =0.5 –[1- 0.841345]

                        =0.5-0.1586855

                        =0.341315                   (http://sampson.byu.edu/courses/z2p2z-calculator.html)

                        =0.3413

D. less than 17 days? Why?

P(X<17) = P(Z<(17-23)/2)

P(Z<-3) = 0.0013

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