The mean incubation time for a type of fertilized egg kept at 100.9°f is 21 days. suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. (a) what is the probability that a randomly selected fertilized egg hatches in less than 19 days? (b) what is the probability that a randomly selected fertilized egg takes over 23 days to hatch? (c) what is the probability that a randomly selected fertilized egg hatches between 20 and 21 days? (d) would it be unusual for an egg to hatch in less than 18 days? why?

Step-by-step explanation:

Given that the mean incubation time (say X) for a type of fertilized egg kept at 100.9°F is 21 days.

X is N( 21,1)

a) the probability that a randomly selected fertilized egg hatches in less than 19 days

=

b) the probability that a randomly selected fertilized egg takes over 23 days to hatch

=P(X>26) = 0.000

(almost uncertain event)

c)  the probability that a randomly selected fertilized egg hatches between 20 and 21 days

= F(21)-F(20) = 0.341345

d) Let us find prob P(X<18)

= 0.00135

Yes, unusual because probability is very less and near to 0

27

step-by-step explanation: