Question

. The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts​ (a) through​(e) below.


(a) Draw a normal model that describes egg incubation times of these fertilized eggs.


(b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 23 days.


The probability that a randomly selected fertilized egg hatches in less than 23 days is _?__. ​(Round to four decimal places as​needed.)

Answer 1

Answer:

Step-by-step explanation:

Given that the  mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

Let X be the incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

X is N(25, 1)

a) Normal curve is in the attached file

b) the probability that a randomly selected fertilized egg hatches in less than 23 days

=$P(X<23)$

we convert x into Z score and use std normal distn table to find probability

$P(X<23)\\= P(Z<\frac{23-25}{1} )\\=P(Z<-2)\\= 0.025$

i.e. we can say only 2.5% proportion will hatch in less than 23 days.