d..SSod sid z 7inn sutQuestion HelpAssume that the random variable X is normally distributed, with mean u 49 and standard deviation o 9. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probabilityshaded.P(X< 42)Which of the following shaded regions corresponds to P(Xs42)?O C.O A.42 4942 4942 49P(X

Question
Asked Oct 21, 2019

Help 

d..
SSod sid z 7inn sut
Question Help
Assume that the random variable X is normally distributed, with mean u 49 and standard deviation o 9. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability
shaded.
P(X< 42)
Which of the following shaded regions corresponds to P(Xs42)?
O C.
O A.
42 49
42 49
42 49
P(X<42)=
(Round to four decimal places as needed.)
Click to select your answer(s)
8:33 PM
10/20/2019
61
Type here to search
E O
prt sc
f12
snod
break
insert
f8
61
15
91
12
/O
esc
%
0
$
#
9
OO
help_outline

Image Transcriptionclose

d.. SSod sid z 7inn sut Question Help Assume that the random variable X is normally distributed, with mean u 49 and standard deviation o 9. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X< 42) Which of the following shaded regions corresponds to P(Xs42)? O C. O A. 42 49 42 49 42 49 P(X<42)= (Round to four decimal places as needed.) Click to select your answer(s) 8:33 PM 10/20/2019 61 Type here to search E O prt sc f12 snod break insert f8 61 15 91 12 /O esc % 0 $ # 9 OO

fullscreen
check_circleExpert Solution
Step 1

Given data
Mean = 49
Standard deviation = 9

Р(X < 42)
Changing into standard normal variate
42 49
42
(X-
P(Z 0.7778)
Pz<
9
Р
P(Z 0.7778) = 0.21835 ( From Excel
NORM. S. DIST(-0.7778, TRUE))
Option B is the correct answer
help_outline

Image Transcriptionclose

Р(X < 42) Changing into standard normal variate 42 49 42 (X- P(Z 0.7778) Pz< 9 Р P(Z 0.7778) = 0.21835 ( From Excel NORM. S. DIST(-0.7778, TRUE)) Option B is the correct answer

fullscreen
Step 2

Graph has been sh...

=49
9
P(X < x)
X 42
0.21835
0.0500
0.0375
0.0250
0.0125
0.0000
40
70
80
X
60
50
30
20
help_outline

Image Transcriptionclose

=49 9 P(X < x) X 42 0.21835 0.0500 0.0375 0.0250 0.0125 0.0000 40 70 80 X 60 50 30 20

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: One common system for computing a grade point average​ (GPA) assigns 4 points to an​ A, 3 points to ...

A: Given Data and calculation for GPA is shown below

question_answer

Q: Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food ch...

A: Given Information:OrderABCDTotalOrder Accurate330278232127967Order Not Accurate32593413138Total36233...

question_answer

Q: A test of hypothesis is statistic  H0: u=150 versus H1:u greater than 150 was performed. The P-value...

A: From the provided information considering u=150, the test hypothesis is provided as:

question_answer

Q: Given a binomial random variable with n = 10 and p = 0.3, use the formula to find the following prob...

A: Hello there! I see that there are multiple subparts in the question. According to our policies I can...

question_answer

Q: Can you answer this question please?

A: (a) The row and column totals, as well as the overall totals is,

question_answer

Q: Suppose the heights of women at a college are approximately Normally distributed with a mean of 66 i...

A: Measures of position:The most common measures of position are percentiles, quartiles and standard sc...

question_answer

Q: You are playing roulette at a casino in the United States. The wheel has 18 red slots, 18 black slot...

A: From the given information, the wheel has 18 red slots, 18 black slots and 2 two green slots. That i...

question_answer

Q: Path: p QUESTION 5 Give the mean of the following list of student heights in inches 62 66 67 70 73

A: 5.From  the given information, the student heights are 62, 59, 66, 67, 70 and 73.

question_answer

Q: According to a study done by a university​ student, the probability a randomly selected individual w...

A: It is given that the probability that a randomly selected individual will not cover their mouth when...