Question

Please show all your work in Excel or written out. No graphing calculators thank you.

At a large farm, the weights of all newborn pigs are recorded. Over the last 10 years, the daily rate has been in excess of 50 births per day. The mean and the sigma are listed below.

Mu = 7.125

Sigma = 0.125

A.) What is the probability a baby pig born today will weigh 8 pounds or more?

B.) What is the probability that a baby pig born today will weigh between 6 and 8 pounds?

Answer 1

(A)

= 7.125

= 0.125

To find P(X8):

Z = (8 - 7.125)/0.125

= 7.00

Since Z is very much greater than 3, P(X 8) = 0.0000

So,

Answer is:

0.0000

(B)

To find P(6 < X < 8):

Case 1: For X from 6 to mid value:
Z = (6 - 7.125)/0.125

= - 9

Since Z is very much less than - 3, Probability For X from 6 to mid value:= 0.5

Case 2: For X from mid value to 8:

Z = (8 - 7.125)/0.125

= 7

Since Z is very much greater than 3 Probability For X from mid value to 8 = 0.5

So,

P(6 < X < 8) = 1.0

So,

Answer is:

1.0