The amount of milk processed daily by a local dairy farm is uniformly distributed between 52,000...

The amount of milk processed daily by a local dairy farm is uniformly distributed between 52,000 and 61,000 gallons.

What is the probability that the dairy farm will process less than 53,600 gallons of milk today? ANSWER: (Report your answer to 4 decimal places, using conventional rounding rules)

What is the probability that the dairy farm will process between 57,500 and 58,400 gallons of milk today? ANSWER: (Report your answer to 4 decimal places, using conventional rounding rules)

What is the standard deviation of this probability distribution? ANSWER: (Report your answer to 4 decimal places, using conventional rounding rules)

Solutions

Expert Solution

The amount of milk processed daily by a local dairy farm is uniformly distributed between 52,000 and 61,000 gallons.

a = 52000

b = 61000

We have to find the probability that the dairy farm will process less than 53,600 gallons of milk today.

That is we have to find P(X < 53600)

Therefore the probability that the dairy farm will process less than 53,600 gallons of milk today is 0.1778

Now we have to find the probability that the dairy farm will process between 57,500 and 58,400 gallons of milk today.

That is we have to find P( 57500 < X < 58400)

Therefore the probability that the dairy farm will process between 57,500 and 58,400 gallons of milk today is 0.1

Now we have to find the standard deviation of this probability distribution.

Therefor the standard deviation of this probability distribution is 2598.076

orchestra answered 1 year ago

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