1. Suppose that a continuous probability function has a density curve, and 25.6% of the area under this density curve is shaded. What probability does that shaded region represent? Probability (give your answer as a decimal):  2.  Express the region that is described below as a probability. The area under a continuous density curve between x=−1.21x=-1.21  and x=1.96x=1.96 , where the horizontal axis is scaled in units of the random variable xx . P(−1.21

Data are obtained on the location of incidents on a 12-kilometer-long bridge. The distribution of the distance along the bridge (in kilometers) where an incident occurs is depicted in the density curve below. 12 Distance (kilometers) along the bridge where an accident occurs 12 1. The probability of an incident that occurs in any 4 kilometers long bridge segment is always distributed over any 4-kilometer interval. A. 1/3, uniformly B. 1/3, not uniformly C. 1/6, uniformly D. 1/2, not uniformly To put it another way, the probability is 2. What is P(9 < X < 12)? 1 Same as P(2 < X < 5). 2. Same as P(2 s X < 5). 3. Same as P(2 < X < 5). 4. Same as P(2 < X < 5). A. 1 B. 1 and 2 C. 2, 3, and 4 D. 1. 2. 3, and 4

Suppose we have a uniform density curve whose length is 2, what would the height of the density curve have to be? Write your answer in decimal form.

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.