Question

In: Statistics and Probability

Suppose that the weights of a certain type of bear are normally distributed with mean 332 ...

Suppose that the weights of a certain type of bear are normally distributed with mean 332 lbs and standard deviation 24 lbs. If three such bears are randomly selected, find the probability that exactly two of them have a weight that is less than 354 lbs. (4 decimals)

Solutions

Expert Solution

Solution :

Given that,

mean = = 332

standard deviation = = 24

n = 2

= 332

=  / n = 24 / 2=16.97

P( < 354) = P[( - ) / < (354-332) / 16.97]

= P(z < 1.30)

Using z table  

= 0.9032   

probability= 0.9032

orchestra answered 2 years ago
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