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 szanderd deviation of seven days. (a) In words, define the random variable X Edt - hsert - Formats - BIVX (D) Find the 2score for a trial laszing 23 days (Round your answer to three decimal places.) (oir one of the trials is randomly chosen, find the probabiliy that it lasted at leaz 23 days. (d) Shade the area corresponding to this probability in the graph below. (Hint The x-axis is the z score. Use your 2-score from part (b) rounded to one decimal plasce). Shade: 2 repiens Click and drag the arrows to adjust the values. (e) twenty-nine percent of all trials of this type are completed within how many days?
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 szanderd deviation of seven days. (a) In words, define the random variable X Edt - hsert - Formats - BIVX (D) Find the 2score for a trial laszing 23 days (Round your answer to three decimal places.) (oir one of the trials is randomly chosen, find the probabiliy that it lasted at leaz 23 days. (d) Shade the area corresponding to this probability in the graph below. (Hint The x-axis is the z score. Use your 2-score from part (b) rounded to one decimal plasce). Shade: 2 repiens Click and drag the arrows to adjust the values. (e) twenty-nine 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: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.
(a) In words, define the random variable X
Edit - Insert , Formats -
A - A
E - F F
囲,
{b) Find the z-score for a trial lasting 23 days.
(Round your answer to
three decimal places.)
(c) If one of the trials is randomly chosen, find the probability that it lasted at least 23 days.
(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: 2 regions
v. Click and drag the arrows to adjust the values.
-1.5
{e) twenty-nine percent of all trials of this type are completed within how many days?
Transcribed Image Text:The percent
fat calories that a person in America consumes each day is normally distributed with
a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen.
Let X = per cent of fat calories.
{a) Find the z-score corresponding to 28 percent of fat calories, rounded to 3 decimal places.
{b) Find the probability that the percent of fat calories a person consumes is more than 28.
{c) 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 (a), rounded to one decimal place).
Shade: 2 regions
v. Click and drag the arrows to adjust the values.
-1.5
2.5
{d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer
to 3 decimal places.
(e) Sketch the graph and write the probability statement.
Edit - Insert - Formats
B
I U x x
A. A-
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