Question

In: Statistics and Probability

Suppose that the weights of a certain type of bear are normally distributed with mean 321 ...

Suppose that the weights of a certain type of bear are normally distributed with mean 321 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.

answer correct to 4 decimal places

Solutions

Expert Solution

Solution :

Given that,

mean = = 321

standard deviation = = 25

n = 3

=321

=  / n = 25/ 3=14.43

P( <342 ) = P[( - ) / < (342-321) /14.43 ]

= P(z <1.46 )

Using z table  

= 0.9279   

probability= 0.9279

orchestra answered 2 years ago
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