Relax! A recent survey asked  1682  people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 0 113 1 184 2 336 3 251 4 318 5 234 6 151 7 35 8 60 Total 1682 Send data to Excel Consider these 1682 people to be a population. Let  X  be the number of hours of relaxation for a person sampled at random from this population.   Part 1 of 5     (a) Construct the probability distribution of  X . Round the answer to three decimal places. x 0 1 2 3 4 5 6 7 8 P ( x )                         Part 2 of 5     (b) Find the probability that a person relaxes more than  4  hours per day. The probability that a person relaxes more than  4  hours per day is    .( Round the answer to three decimal places.)       Part 3 of 5     (c) Find the probability that a person doesn't relax at all. The probability that a person doesn't relax at all is    .( Round the answer to three decimal places.)       Part 4 of 5     (d) Compute the mean  μx . Round the answer to two decimal places. μx   =           Part 5 of 5     (e) Compute the standard deviation  σx . Round the answer to three decimal places. σx   =

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Relax! A recent survey asked 

1682

 people how many hours per day they were able to relax. The results are presented in the following table.

Number of Hours Frequency
0
113
1
184
2
336
3
251
4
318
5
234
6
151
7
35
8
60
Total
1682

Send data to Excel

Consider these 1682 people to be a population. Let 

X

 be the number of hours of relaxation for a person sampled at random from this population.

 

Part 1 of 5
 
 
(a) Construct the probability distribution of 
X
. Round the answer to three decimal places.
x
0
1
2
3
4
5
6
7
8
P
(
x
)
 
 
 
 
 
 
 
 
 
 
 
 
Part 2 of 5
 
 
(b) Find the probability that a person relaxes more than 
4
 hours per day.

The probability that a person relaxes more than 
4
 hours per day is 
 
.( Round the answer to three decimal places.)
 
 
 
Part 3 of 5
 
 
(c) Find the probability that a person doesn't relax at all.

The probability that a person doesn't relax at all is 
 
.( Round the answer to three decimal places.)
 
 
 
Part 4 of 5
 
 
(d) Compute the mean 
μx
. Round the answer to two decimal places.

μx
 
=
 
 
 
 
 
Part 5 of 5
 
 
(e) Compute the standard deviation 
σx
. Round the answer to three decimal places.

σx
 
=
 
 
 
 
 
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