Density The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 20 and 25 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? 1/30- 0- 10 20 30X Time (min)

The graph shown is the uniform density function for a friend who is x minutes late. Find the probability that the friend is at least 19 minutes late.

missing entires in a probability density function. Use the following density function instead of the one in your text. Value of X Probability Product -2 (A) -0.4 |--1 (B) -0.3 (C) 0.3 0.3 2 0.2 (D) (1) What is the value of (A)? -2 (2) What is the value of (B)? (3) What is the value of (C)? (4) What is the value of (D)?

Pleas ecomplete all questions and show work

Definition. When the sample space of an experiment is finite, a probability density function for a random variable is a table of all possible values of X and their corresponding probabilities. Remember that random variables assign numbers to each outcome. Each outcome has some probability of occurring. IfXis a random variable, when we write Pr[X= 2], we mean Pr[E], where E is the event consisting of all outcomes to which the random variable eX assigns 2. To further explain this complete the following example. Suppose a fair coin is flipped 3 times. A random variable X assigns the number of heads to each outcome. (a) What are all possible values of X? b) Make a table of each of these values and the probabilities associated with them. Again, this table is called the probability density function of X.( c) Suppose that the random variable Y is 2 times the number of the head plus the number of tails flipped, find the probability density function of Yf or this experiment.