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he table shows a probability distribution for predicting how many people will come through the door of a fast food restaurant during the lunch hour. Each event represents the number of people for a ten-minute interval.

Use the six randomly generated numbers 18, 38, 87, 16, 56, and 5 to predict the number of people coming in during the lunch hour.

Respuesta :

MrRoyal

The number of people coming in during the lunch hour is 160

How to determine the number of people?

The complete question is in the attached image

The random numbers are given as:

18, 38, 87, 16, 56, and 5

Regroup the numbers

Number           Group       Probability

5, 16, 18           1 - 20             3/6

38, 56             21 - 60           2/6

56                    61 - 90          1/6

Based on the individual numbers and the probability table, we have:

X      20      30     40

P     3/6     2/6    1/6

The expected value is:

[tex]E(x) = \sum xp[/tex]

This gives

E(x) = 20 * 3/6 + 30 * 2/6 * 40 * 1/6

Evaluate

E(x) = 160/6

There are six ten-minute intervals.

So, we have:

People = 6 * 160/6

Evaluate

People = 160

Hence, the number of people coming in during the lunch hour is 160

Read more about expected values at:

https://brainly.com/question/18523098

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