- Thickness 0.20 0.40 a. Verify that the total area under the density curve is equal to 1. [Hint: The area of a triangle is equal to (1/2)(base) (height).] b. What is the probability that x is less than 0.20? Less than 0.10? More than 0.30? c. What is the probability that x is between 0.10 and 0.20? (Hint: First find the probability that x is not between (0.10 and 0.20.)

Find the area above 29 for a N(15,5) distribution

c. can be any value. O d. cannot be negative. QUESTION 7 For a continuous random variable x, the height of the function at x is a. the probability at a given value of x. b. 0.50, since it is the middle value. c. a value less than zero. d. named the probability density function f(x). QUESTION 8 For any continuous random variable, the probability that the random vari a. is any number between zero and one. b. is more than one, since it is continuous.

Let x be the amount of time (in minutes) that a particular commuter will have to wait for atrain.Suppose that the distribution is uniform and ranges between 0 and 20 minutes.a. Draw the density curve for x.b. Find the value of the height.c. What is the probability that x is more than 8 minutes?d. What is the probability that x is between 7 and 15 minutes?e. Find the value of c for which P(x < c) = 0.7.

A random phenomenon results in a number in the range of 1 to 5. All values in the range are equally likely, so the density curve is flat, as shown below. What must y be such that the probability of a number between 1 and y is 25%? Please provide an explanation for your choice.

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What is the area below the standard normal density curve on the right of 0.24? a.-0.4052 b. 0.4052 c.-0.5948 d. 0.5948 The area on the left of a z-value below the standard normal density curve is 0.33. What is this z-value? a.-0.3703 b.0.44 c.-0.44 d.0.6293