# Question: The cumulative probabilities for a continuous random variable X are

The cumulative probabilities for a continuous random variable X are P(X ≤ 10) = 0.42 and P(X ≤20) = 0.66. Calculate the following probabilities.

a. P(X<10)

b. P(X<20)

c. P (10 > X > 20)

a. P(X<10)

b. P(X<20)

c. P (10 > X > 20)

## Answer to relevant Questions

For a continuous random variable X with an upper bound of 4, P (0 ≤ X ≤ 2.5) = 0.54 and P (2.5 ≤ X ≤ 4) = 0.16. Calculate the following probabilities. a. P(X2.5) c. P (0 ≤ X ≤ 4)A random variable X follows the uniform distribution with a lower limit of 750 and an upper limit of 800. a. Calculate the mean and the standard deviation of this distribution. b. What is the probability that X is less than ...Find the following probabilities based on the standard normal variable Z.a. P (ZLet X be normally distributed with mean µ = 10 and standard deviation σ = 6. a. Find P(X ≤ 0)>b. Find P(X>2)>c. Find P(4 ≤ X ≤ 10)>d. Find P(6 ≤ X ≤ 14)>Americans are increasingly skimping on their sleep (National Geographic News, February 24, 2005). A health expert believes that American adults sleep an average of 6.2 hours on weekdays with a standard deviation of 1.2 ...Post your question