Question

For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16. 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:

For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16.

Step-by-step explanation:

Here, P(x > 40) = 0.16

a). P(x < 40) = 1 - P(x > 40)

                   =  1 - 0.16

                    = 0.84

b). P(x < 20) = 1 - $P(x\geq 20)$

                    = 1 - {P(20 ≤ X ≤ 40) + P(X > 40)}

                    = 1 - (0.15 + 0.16 )  

                    = 1 - 0.31

                    = 0. 69

c). P(x = 40) = 0; The probability that a continuous variable assume a particular value is zero.