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.
4,5,6,7,8
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.
c. find ( p(x = 5) ).
( p(x = 5)=square )
(round to three decimal places as needed.)

Explanation:

Step1: Calculate total frequency

Total frequency \( N=4 + 5+39+20 + 4=72\)

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

The frequency for \(X = 5\) is \(f=2\). The probability formula for a discrete - frequency distribution is \(P(X=x)=\frac{f}{N}\). So \(P(X = 5)=\frac{2}{72}\approx0.028\)

Answer:

\(0.028\)