Answer:
false
Step-by-step explanation:
There are 160 total number of students.
Other givens are the following:
40 are honor students
60 are athletes
80 are either honor or athletes
The probability that the chosen student is an athlete:
P = 60/180
P= 0.375
The probability that the chosen student is an honor:
P=40/160
P=0.25
Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem, the mean and the standard deviation are given by, respectively,
.
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:


Z = -1
Z = -1 has a p-value of 0.16.
X = 45:


Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213
Step-by-step explanation:
2(22/7)12²+2(22/7)(12)(18)
=2021.9
Answer:

Step-by-step explanation:
