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kailinaguilar2187
29.02.2020 •
Mathematics
Find the area under the standard normal distribution curve for the following intervals. a. Between z = 0 and z = 2.0 b. To the right of z = 1.5 c. To the left of z = −1.75 d. Between z = −2.78 and z = 1.66
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Ответ:
a)![P(0](/tpl/images/0528/7831/5385c.png)
And we can use the following excel code to find the probability:
"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"
b)![P(Z1.5) =1-P(Z](/tpl/images/0528/7831/b1d09.png)
And we can use the following code and we got:
"=1-NORM.DIST(1.5,0,1,TRUE)"
c)![P(z](/tpl/images/0528/7831/8ba75.png)
And we can use the following code and we got:
"=NORM.DIST(-1.75,0,1,TRUE)"
d)![P(-2.78](/tpl/images/0528/7831/21353.png)
And we can use the following excel code to find the probability:
"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Part a
We want this probability:
And we can use the following excel code to find the probability:
"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"
Part b
For this case we want this probability:
And we can use the complement rule and we have:
And we can use the following code and we got:
"=1-NORM.DIST(1.5,0,1,TRUE)"
Part c
We want this probability:
And we can use the following code and we got:
"=NORM.DIST(-1.75,0,1,TRUE)"
Part d
We want this probability:
And we can use the following excel code to find the probability:
"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"
Ответ:
i might be getting this wrong but I took the test
I think it was the 3 one
Step-by-step explanation: