The following table provides a probability distribution for the random variable x. f(x) 0.2 0.3 6. 0.5 What is the expected value of E(x)? Keep one decimal places of your answer.

variable with the following probability distribution. Value x of X P=Xx -20 0.10 -10 0.15 0 0.45 10 0.25 20 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation EX of X . ?   =EX     (b) Find the variance Var X of X .?   =VarX

Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3377 1 0.3347 2 0.1744 3 0.0605 4 0.0464 5 0.0463 6+ 0.0000 a) What is the probability that a randomly selected person has received four tickets in a three-year period?P(x=4)=P(x=4)=b) What is the probability that a randomly selected person has received four or more tickets in a three-year period?P(x≥4)=P(x≥4)=c) What is the probability that a randomly selected person has received more than four tickets in a three-year period?P(x>4)=P(x>4)=d) Would it be unusual to randomly select a person who has received four tickets in a three-year period? Yes No e) Which probability should we use to…

Test the following function to determine whether it is a probability function. (Give your answers correct to two decimal places.) P(x) =  x2 + 5 50 , for x = 1, 2, 3, 4 (a) List the probability distribution. P(1) =   P(2) =   P(3) =   P(4) =