Find and interpret the probability that a randomly selected fertillized egg hatc

Question

Find and interpret the probability that a randomly selected fertillized egg hatches between 18 and 20 days.

empera ure is 20 days. Suppose hat he incubation l ies aire ap roxima y ncrma y dist b ted with sia dard deva ion 012 days omplete parts ia hrough below The mean iricubation time cr a ype ertilized gg kep at ce l lick here to view the standerd normal distribution ble p ge 1). lick here to view the stendard normal distribution tahle tpege 2 to tne nearest integer as neeoea. In every group of 100 fertilized e (Round to the nearest integer as needed t ggs ggs will hatch in lass than 18 days. c) Find and interpret the probability that a randomly selected fertilized egg takes over 24 days to hatch. he probability that a randomly selected tertilized egg takos ovcr 24 days to hatch is 0228 Round to four decimal places as needed.) nterpret this probability. Select the corect choice below andll in the ansiwer bex to ccmplete your choice A. eggs will hatch in more than 24 days In every group of 100 fertilized es Round to the noarest integer as needed. BIized eggs were randomly selected, 2 ot tnem wouid be expected to take more than 24 days to hatch Round to the nearest integer as needed.) The average proportion of the way to hatching or all eggs fertilized more than 24 days ago is (Round to two dec imal places as needed.) C, d) Find and inte prel the probability lhal a randornly seecled fertilized egg hetches between 18 nd 20 days. The probahility that a randomly selected fertiized egg hatches between 18 and 20 days is Round to four docimal places as needed.)

Explanation / Answer

Answer to the question is as follows:

We will normalize using the params of normal dist. i.e. mean = 20, sigma = 2

d) So, P(18<X<20)

= P(18-20/2 <Z< 20-20/2)

= P(-1<Z<0)

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

= .5-.1587

= .3413

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