(e) forty-three percent of all trials of this type are completed within how many days?

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(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?
Question Help: DPost to forum
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Lab5-Income_D....xlsx
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F3
F4
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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? Question Help: DPost to forum E Calculator Lab5-Income_D....xlsx unnamed (1).jpg FEB 7 W 80 000 F1 F2 F3 F4 F5 F6 @ $ % &
Geta SiMlar question
You Tantetry tnis questiomDelow
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.
Z-
Lab5-Income_D.xlsx
unnamed (1).jpg
PLL
FEB
P.
20
000
000
F1
F2
F3
F4
F5
F6
....
Transcribed Image Text:Geta SiMlar question You Tantetry tnis questiomDelow 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. Z- Lab5-Income_D.xlsx unnamed (1).jpg PLL FEB P. 20 000 000 F1 F2 F3 F4 F5 F6 ....
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.

μ=21 and σ=7

(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 100%-43%=57%=0.57

Each tail has an area of 0.572=0.285

This can be written as:

Px1<z<x2=0.43

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:

z=x-μσ

 

 

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