Question

the weights of turkeys on a farm are normally distributed with a mean of 68.2 inches...

the weights of turkeys on a farm are normally distributed with a mean of 68.2 inches and a standard deviation of of 3.9 pounds. What is the probability that a turkey selected at random will weigh less than 16 pounds.

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Answer #1

Solution :

Given that,

mean = = 68.2 inches = 5.68 pounds

standard deviation = = 3.9 pounds

P( x < 16 )

P ( x -  / ) < ( 16 - 5.68 / 3.9 )

P ( z < 10.32 / 3.9 )

P ( z < 2.65 )

Using z table

= 0.9960

Probability = 0.9960

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