Question

In: Statistics and Probability

A corporation produces packages of paper clips. The number of clips per package varies, as indicated...

A corporation produces packages of paper clips. The number of clips per package varies, as indicated below for a sample of 20 packages.

48 47 51 53 49 50 51 48 52 50 53 48 50 49 51 52 49 50 51 52

Create a probability density function.

What is the probability that a randomly chosen package contains between 48 and 53 clips (inclusive) per package?

Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).

Solutions

Expert Solution

Here, we have given that the number of clips per package for a sample of 20 packages.

To construct, probability density function, first of all, we need to construct a histogram. Then apply these below formulae for probability density at a point

Where N is total frequency, W=width. You may not need to construct Histogram to obtain probability function. You can use 2nd formula to obtain for probability as below:

orchestra answered 1 year ago
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