Question

the following table displays a frequency distribution for the number of crew members on each shuttle mission over a 10 - year period. let x denote the crew size on a randomly selected shuttle from this time period.

crew size
frequency
4
5
2
5
39
6
20
7
4
8

4, 5, 6, 7, 8
(use a comma to separate answers as needed.)

a. what are the possible values of the random variable x?

b. use random - variable notation to represent the event that the shuttle mission obtained has a crew size of 7.
${x = 7}$

c. find $p(x = 5)$.
$p(x = 5)=square$
(round to three decimal places as needed.)

Explanation:

Step1: Calculate total frequency

Total frequency \( n=4 + 2+39+20 + 4=70\)

Step2: Calculate \(P(X = 5)\)

Frequency of \(X = 5\) is \(2\). Probability formula \(P(X=x)=\frac{\text{Frequency of }x}{\text{Total frequency}}\). So \(P(X = 5)=\frac{2}{70}\approx0.029\)

Answer:

\(0.029\)