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The average birth weight of elephants is 250 pounds. Assume that the distribution of birth weights...

The average birth weight of elephants is 250 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 50 pounds. Find the birth weight of elephants at the 95th percentile.

The birth weight of elephants at the 95th percentile is _______________pounds.

​(Round to the nearest integer as​ needed.)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

We know that X is normally distributed, with parameters:

We need to find a score x so that the corresponding cumulative normal probability is equal to 0.95. Mathematically, x is such that:

The corresponding z score so that the cumulative standard normal probability distribution is 0.95 is

This value of zc​=1.6449 can be found either with Excel, or with a normal distribution table. Hence, the X score associated with the 0.95 cumulative probability is

Graphically:

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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