Question

For a continuous random variable X, P(28 ≤ X ≤ 76) = 0.22 and P(X > 76) = 0.10. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

Answer 1

Answer:

Answer for the question:

is given below.

Explanation:

1. P ( X < 76 ) = 1 - P ( X > 7 6 ) = 1 - 0 . 1 0 = 0 . 9 0  

2. P ( X < 2 8 ) = 1 - P ( X > = 2 8 ) = 1 - P ( 2 8 < = X < = 7 6 ) - P ( X > 7 6)

= 1 - 0 . 2 2 - 0 . 1 = 0 . 6 8

3.  P ( X = 7 6 ) = 0   because  in  case  of  continuous  probability ,  probability of  finding  a  particular  value  is  close  to  zero