A lottery that sells 150,000 tickets has the following prize structure: (1) first prize of $1000   (2) 5 second prizes of $200   (3) 25 third prizes of $100   (4) 1000 fourth prizes of $20   (a) Let ? be the winning amount of a randomly drawn lottery ticket.   List the probability distribution of ? for each of the prizes.  Table of ? and f(x)

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…

er Weapon Handgun Rifle Shotgun Unknown firearm Knives Hands, fists, etc. Other Probability 0.478 0.027 0.035 0.148 0.135 0.059 0.118 to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes E 14 quiz

Suppose a neighborhood grocery store buys 5 containers of skim milk at the wholesale price of $11 per container and sells it for $22 per container. After the expiration date, unsold milk is removed from the shelves and the grocer receives a credit from the distributor equal to three-fourths of the wholesale price. If the probability distribution of the variable is X and the number of containers sold from this lot is x          f(x) 0         1/15 1         2/15 2        2/15 3        3/15 4        4/15 5         3/15 Calculate the expected utility. (Round to two decimal places)