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In: Statistics and Probability

The weight of freshly born babies approximates a normal distribution. The average weight of all babies...

The weight of freshly born babies approximates a normal distribution. The average weight of all babies born is 7.5 lbs (pounds), with a standard deviation of 2.5 lbs.

What proportion of babies will be lighter than 12.1 lbs?

Solutions

Expert Solution

Solution:

Given: The weight of freshly born babies approximates a normal distribution with mean weight of all babies born is 7.5 lbs (pounds), with a standard deviation of 2.5 lbs.

that is: ,  

We have to find:

P( babies will be lighter than 12.1 lbs)=...........?

That is find:

P( X < 12.1 ) =..............?

Find z score for x = 12.1

thus we get:

Look in z table for z = 1.8 and 0.04 and find corresponding area.

P( Z < 1.84 ) = 0.9671

thus

P( babies will be lighter than 12.1 lbs)= 0.9671

orchestra answered 2 years ago
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