Question

For a continuous random variable X, P(27 ≤ X ≤ 74) = 0.35 and P(X > 74) = 0.10. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

For a continuous random variable X, P(27 sxs 74) = 0.35 and PIX> 74) = 0.10. Calculate the following probabilities. (Leave no cells blank - be certain to enter "O" wherever required. Round your answers to 2 decimal places.) a. P(X<74) b. P(X < 27) C. P(X = 74)

Answer 1

Answer:

Given,

P(27 <= X <= 74) = 0.35

P(X > 74) = 0.10

P(X <= 74) = 1 - P(X > 74)

= 1 - 0.10

= 0.90

a)

Here it is beyond the realm of imagination to expect to get this incentive from whatever has been given in the inquiry.

So P(X < 74) = 0

b)

To determine P(X < 27)

P(X < 27) = 1 - P(X >= 27)

= 1 - (P(27 <= X <= 74) + P(X > 74) )

= 1 - 0.35 - 0.10

= 0.55

P(X < 27) = 0.55

c)

To determine P(X = 74)

Here it is beyond the realm of imagination to expect to get this incentive from whatever has been given in the inquiry

So the probability = 0