Question

Sherwin manages Delaroy County Zoo. The following table shows a probability model for the number of visitors on a weekday.

Number of visitors Probability
0-49 0.12
50-99 0.26
100-149 0.32
150-199 0.21
200+ 0.09

Is this a valid probability model?
Choose 1 answer:
A)
Yes

B)
No

Answer 1

A. The answer is yes, because the distribution is approximately a bell curve.

Answer 2

Option A - Yes this probability model is valid.

Explanation:

Given : Sherwin manages Delaroy County Zoo. The following table shows a probability model for the number of visitors on a weekday.

To find : Is this a valid probability model?

Solution :

Probability Model

Number of visitors Probability

0-49 0.12

50-99 0.26

100-149 0.32

150-199 0.21

200+ 0.09

The property of probability is total sum of the probability of an event is always 1.

So, we find the sum of the probability,

i.e. P=0.12+0.26+0.32+0.21+0.09=1

It satisfy the property.

Therefore, Option A - Yes this probability model is valid.