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
a)
yes

b)
no

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

Option A - Yes this probability model is valid.

Step-by-step 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 visitorsProbability

         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.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,