please show work with steps, thank you!
Homework Answers
Y∼N (67, 44)
The formula to calculate the value of Z is given below:
Z= Y−μy / σy
Substitute the values in above mentioned formula.
Z= (Y−67)/ √44
(a)
The Pr(Y<88)
can be calculated as follows.
Pr(Y< 88)=Pr(Z < (88 −67)/ √44)
= Pr(Z< 3.1659)= 1.000 ( from Z table)
Ans is c) 1.000
b)
The Pr( 90 <Y< 92)
can be calculated as follows.
Pr(90<Y<92) = Pr(Y<92)−Pr(Y<90)
=Pr(Z< ( 92− 67) / √44) − Pr(Z<(90-67)/√44) = Pr( Z < 3.7689 ) −Pr( Z < 3.4674) = 1- 1 = 0.0000
Therefore, Pr( 90 <Y< 92) is 0.0000
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please show work with steps, thank you!
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