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: 3, 4, 5, 6, 7
frequency: 4, 7, 38, 22, 7

a. what are the possible values of the random variable x?
3,4,5,6,7
(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 6
{x = 6}
c. find p(x = 4)
p(x = 4)=0.090
(round to three decimal places as needed.)

Explanation:

Step1: Calculate total frequency

Total frequency = 4 + 7+38 + 22+7 = 78

Step2: Calculate P(X = 4)

P(X = 4)=$\frac{\text{Frequency of }X = 4}{\text{Total frequency}}=\frac{7}{78}\approx0.090$

Answer:

a. 3,4,5,6,7
b. $\{X = 6\}$
c. 0.090