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Weights of all dogs are normally distributed with a mean of 22 pounds and a standard deviation of 6.5 pounds.Selecting a single dog at random.

Weights of all dogs are normally distributed with a mean of 22 pounds and a standard deviation of 6.5 pounds.Selecting a single dog at random.

Use Excel, as needed, to find the following:

Round probability results to four decimal places:

a.The probability the dog weighs less than 20 pounds,

P( x < 20) =

b.The probability the dog weighs exactly 22 pounds,

P ( x = 22 ) =

c.The probability the dog weighs more than 25 pounds,

P( x > 25 ) =

d.The probability the dog weighs between 10 and 25 pounds,

P( 10 < x < 25 ) =

Round these results to the nearest tenth:

e.What weight represents the 80th percentile of dog weights,

P80=_____ pounds.

f.What weight would put a dog in the top 5% of weights?

Weight =_____pounds.

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