A space agency compiles data on​ space-shuttle launches and publishes them on its website. The following table displays a frequency distribution for the number of crew members on each shuttle mission over a​ 30-year period. Let X denote the crew size on a randomly selected shuttle from this time period. Complete parts​ (a) through​ (e) below.   Crew size 2 4 5 6 7 8     Frequency 4 5 40 20 72 1       a. What are the possible values of the random variable X​?   ​(Use a comma to separate answers as​ needed.)   b. Use​ random-variable notation to represent the event that the shuttle mission obtained has a crew size of 7. Select the correct choice below and fill in the answer box within your choice.   A.( P) B. c. Find ​P(X=4​); interpret in terms of percentages.   ​P(X=4​)= ​(Round to three decimal places as​ needed.) Interpret in terms of percentages. Select the correct choice below and fill in the answer box to complete your choice.  A. % of shuttle crews consist of at most 4 people.   B. ​% of shuttle crews consist of more than 4 people.   C.% of shuttle crews consist of exactly 4 people.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A space agency compiles data on​ space-shuttle launches and publishes them on its website. The following table displays a frequency distribution for the number of crew members on each shuttle mission over a​ 30-year period. Let
X
denote the crew size on a randomly selected shuttle from this time period. Complete parts​ (a) through​ (e) below.
 
Crew size
2
4
5
6
7
8
 
 
Frequency
4
5
40
20
72
1
 
 
 
a. What are the possible values of the random variable
X​?
 
​(Use a comma to separate answers as​ needed.)
 
b. Use​ random-variable notation to represent the event that the shuttle mission obtained has a crew size of
7. Select the correct choice below and fill in the answer box within your choice.
 
A.( P)
B.
c. Find
​P(X=4​);
interpret in terms of percentages.
 
​P(X=4​)=
​(Round to three decimal places as​ needed.)
Interpret in terms of percentages. Select the correct choice below and fill in the answer box to complete your choice. 
A.
% of shuttle crews consist of at most 4 people.
 
B. ​%
of shuttle crews consist of more than 4 people.
 
C.%
of shuttle crews consist of exactly 4 people.
 
​(Type an integer or decimal rounded to one decimal place as​ needed.)
d. Obtain the probability distribution of X. List the possible values of X in ascending​ order, and their corresponding probabilities.
 
​(Type integers or decimals rounded to three decimal places as​ needed.)
x
enter your response here
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​P(X=​x)
           
e. Construct a probability histogram for
X.
Choose the correct histogram.
 
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