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Question 10: Probability Suppose that the weights of a certain type of bear are normally distributed...

Question 10: Probability

Suppose that the weights of a certain type of bear are normally distributed with mean 324 lbs and standard deviation 25 lbs. If three such bears are randomly selected, find the probability that exactly one of them has a weight that is less than 342 lbs. Give answer to 4 decimal places

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Answer #1

Solution :

Given that,

mean = = 324

standard deviation = = 25

P(X<342) = P[(X- ) / < (342-324) /25 ]

= P(z < 0.72)

Using z table

= 0.7642

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