1. Theater tickets for a hit show have four pricesdepending on seating. The prices ae $50, $100, $150 and $200. Theprobability a ticket sells for $50 is .4. The probability it sellsfor $100 is .15. The probability it sells for $150 is.2.

1. Find the probability a ticket sells for$200.

1. Find the expected cost (mean cost) of aticket.

1. Find the standard deviation for the cost of aticket

1. Find the variance for the cost of aticket

1. A person pays $2.00 to play the following carnivalgame: A die is rolled one time. If an even number comes up theperson pays an additional $2.50. If it comes up odd, the playerreceives a payment of $5.00 and gets the $2.00 back. Find theplayers expected profit if (s)he plays this game.

1. Sixty percent of all shoppers in a given shoppingcenter use credit cards for their purchases. If 20 shoppers makepurchases, find the probability that:

1. exactly 12 use credit cards.

1. exactly 7 do not use credit cards.

1. At most 10 use credit cards

1. More than 13 use credit cards

1. The probability a person passes the Bar exam is .46. If290 people in this city take the exam:

1. Find the mean number who pass.

1. Find the standard deviation for the number whopass.

1. Find each of the following probabilities for a valuechosen at random from a Standard Normal (Z)distribution.

1. the probability the value is more than2.7

1. the probability the value is between –2.01 and2.21

1. The probability the value is less than–3.2

1. The hourly wage for workers in a fast food restaurantis Normally distributed with a mean of $5.85 and a standarddeviation of $0.35. If a worker is selected at random, find theprobability that:

1. (S)he earns less than $5.50 an hour

1. (S)he earns between $5.90 and $6.40 anhour.

1. (S)he earns at least $6.00 an hour

1. The mean cost of living for a family of four in citiesacross the country is $65,351 with a standard deviation of $7712. Acompany is thinking of relocating to a city with a cost of livingthat is in the bottom 40% of all the cities. Assuming that thedistribution is Normally distributed, what is the cutoff score fora city that would make it eligible for consideration by thiscompany?

1. 45% of people have type O blood . If 400 volunteersshow up to donate blo, use the Normal approximation to the binomialto find the probability that more than 175 but at most 182 havetype O blood.

1. The mean annual rainfall in a particular region is 80inches with a standard deviation of 8 inches. If a sample of 32years is selected, what is the probability that the mean annualrainfall for this sample will be less than 79 inches?