Answer
Using geometric distribution:
a. P(x = 5) =$ (1-0.19)^{4} * 1.9$ = 0.082
b. P(x = 1) = 0.19
P(x = 2) = (1-0.19) x 0.19 = 0.1539
P(x = 3) = $ (1-0.19)^{2} * 1.9$ = 0.125
P(x = 1 or x = 2 or x = 3) = 0.19 + 0.1539 + 0.125
= 0.469
c. P(x > =4) = 1 - P(x = 1) - P(x = 2) - P(x = 3)
= 1 - 0.19 - 0.1539 - 0.125
= 0.531
Work Step by Step
As given above