(b) Compute P(x < 35). When dealing with continuous distributions, the probability will be for a range of values instead of a single value. This probability will be the area under the graph between the given values. For a = 30 and b = 40, the height of the density function was found to be 0.10. This gives the following uniform probability density distribution. 1 f(x) = b-a a≤x≤b elsewhere 0 = 0.10 0 30 ≤ x ≤ 40 elsewhere The graph of this distribution is a rectangle, which has an area equal to the width multiplied by the height. The height was found to be 0.10, so the width is needed. Since the desired probability is that x < 35, and this distribution is only valid when x is between 30 and 40, the rectangle representing this probability will be between ---Select--- giving a width of . Find the area of this rectangle, which is also P(x < 35). P(x < 35) = width height (0.10)

The estimated life of an electronic component (measured in months) follows the probability density function below: .x.e x > 0 f(x) = {4 elsewhere 1. Find the probability that estimated life is greater than 5. 2. Find the mean of the estimated life

A scout on a camping trip is requested to find some dry sticks of length at most one metre to use as firewood. A model for the distribution of the lengths, X, in metres, of sticks that she brings back to the camp has probability density function f(x) = VT, 0< x < 1. 0 < x < 1. According to the model, what is the mean length of the sticks that the scout brings back?

I need help with this:A convenience store has two separate locations where customers can be checked out as they leave. These locations each have two cash registers and two employees who check out customers. Let X be the number of cash registers being used at a particular time for location 1 and Y the number being used at the same time for location 2. The joint probability function is given by the accompanying table. Complete parts​ (a) through​ (c) below.(a) Give the marginal density of b oth X and Y as wellas the probability distribution of X given Y = 2.(b) Give E(X) and Var(X).(c) Give E(X | Y = 2) and Var(X | Y = 2).