Question

On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.
x 25 50 75 100 Total
P(x) .24 .33 .29 .14 1.00

(a) Find the probability expressions: (Round your answers to 2 decimal places.)
b. P(X ≤ 50)
c. P(X > 25)
d. P(X < 75)

Answer 1

Answer:

P(X ≤ 50) = 0.57

P(X > 25) = 0.76

P(X < 75)  = 0.57

Step-by-step explanation:

Given: probability distribution to the number of tubes that will rent on a randomly selected day.

x ⇒ the number of tubes

P(x) ⇒ probability

 x   :    25       50       75        100       Total

P(x) :  0.24    0.33     0.29     0.14          1

So,

P(x ≤ 50) = P(x = 25) + P(x = 50) = 0.24 + 0.33 = 0.57

P(x > 25) = Total - P(x = 25) = 1 - 0.24 = 0.76

P(x < 75) = P(x = 25) + P(x = 50) = 0.24 + 0.33 = 0.57