(e) forty-three percent of all trials of this type are completed within how many days?
(e) forty-three percent of all trials of this type are completed within how many days?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(b) Find the z-score for a trial lasting 24 days. 0.429
(Round your
answer to three decimal places.)
(d) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-
score. Use your z-score from part (b), rounded to one decimal place).
Shade: Right of a value
v. Click and drag the arrows to adjust the values.
-2 1
-4
-3
3
4
-1.5
(e) forty-three percent of all trials of this type are completed within how many days?
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Transcribed Image Text:Geta SiMlar question
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Suppose that the duration of a particular type of criminal trial is known to be normally distributed
with a mean of 21 days and a standard deviation of seven days.
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Expert Solution

Step 1
Given Information:
The duration of a particular type of criminal trial is known to be normally distributed with mean of 21 days and a standard deviation of 7 days.
and
(e) Forty three percent of all trials of this type are completed within how many days:
We are given the middle percentage as 43%
Remaining percentage is
Each tail has an area of
This can be written as:
Using Excel function "=NORM.S.INV(0.285)", z-score corresponding to probability 0.285 is obtained as -0.56805 -0.5681
Z-score is a measure which indicates how many standard deviations away, a data value is, from the mean. It is given by the formula:
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