1. For an outdoor concert by the cityorchestra, concert organizers estimate that 10,000 people will attend if it is not raining. If it israining, concert organizers estimate that 7000 people will attend. On the day of theconcert, meteorologists predict a 80% chance of rain. Determine the expected number of people who will attend this concert.
2. In a proposed businessventure, a businesswoman estimates there is a 40% chance she will make $64,000 and a 60% chance she will lose $66,000. Determine her expected value.Her expected value is $
3. Shenise is a star player for herwomen's basketball team. She has injured herankle, and it is doubtful that she will be able to play in an upcoming game. If Shenise canplay, the coach estimates that the team will score 89 points. If Shenise is not able toplay, the coach estimates that they will score 60 points. The team doctor estimates that there is a 60% chance Shenise will play. Determine the number of points the team can expect to score.
4. A televisionnetwork, NetworkA, is scheduling its fall lineup of shows. For the Tuesday night 8 p.m.slot, Network A has selected its top show. If its rivalnetwork, NetworkB, schedules its top show during the same timeslot, Network A estimates that it will get 1.1 million viewers.However, if Network B schedules a different show during that timeslot, Network A estimates that it will get 1.5 million viewers. Network A believes that the probability that Network B will air their top show is 0.4 and the probability that Network B will air another show is 0.6. Determine the expected number of viewers for NetworkA's top show.
5. The Triple L investment club is considering purchasing a certain stock. After considerableresearch, the club members determine that there is a 40% chance of making $12,000, a 10% chance of breakingeven, and a 50% chance of losing $6,400. Find the expectation of this purchase.
6. Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a1, 2, or3, Gabriel gives Alyssa $5. If Alyssa rolls a 4 or5, Gabriel gives Alyssa $3. However, if Alyssa rolls a6, she gives Gabriel $17.

a) DetermineAlyssa's expectation. b) DetermineGabriel's expectation.

7 The expected value when you purchase a lottery ticket is

$1.00 and the cost of the ticket is $5.00. Determine the fair price of the lottery ticket.

8 Use the following statement to answer parts a) andb). Onehundred raffle tickets are sold for$3 each. One prize of $400 is to be awarded. Winners do not have their ticket costs of$3 refunded to them. Raul purchases one ticket.

a) Determine his expected value.

b) Determine the fair price of a ticket.

9 four thousand raffle tickets are sold for $3 each. Three prizes will beawarded, one for $1,500 and two for $750. Assume that the probability that any given ticket is selected for the $1,500 prize is 14,000 and the probability that any given ticket is selected for a $750 prize is 24,000. Winners do not have their ticket costs of $3 refunded to them. Jennifer purchases one of these tickets. Complete parts (a) and(b) below

10 A person randomly selects one of six envelopes. Each envelope contains a check that the person gets to keep. Determine theperson's expectation if three envelopes contain a $533 check and three envelopes contain a $965 check.

14 A person randomly selects one of four envelopes. Each envelope contains a check that the person gets to keep.However, before the person can select anenvelope, he or she must pay $15 to play. Determine theperson's expectation if two of the envelopes contain $10 checks and two of the envelopes contain $30 checks.

15 A person randomly selects one of four envelopes. Each envelope contains a check that the person gets to keep.However, before the person can select anenvelope, he or she must pay$15 to play. Determine theperson's expectation if the checks in the envelopes are for$0, $3, $9, and $17.

16 An airline is planning its staffing needs for the next year. If a new route isapproved, it will hire 869 new employees. If a new route is notgranted, it will hire only 189 new employees. If the probability that a new route will be granted is 0.39, what is the expected number of new employees to be hired by theairline?

17 A coffee franchise is opening a new store. The company estimates that there is an 80% chance the store will have a profit of $50,000, a 10% chance the store will breakeven, and a 10% chance the store will lose $1,500. Determine the expected gain or loss for this store.

18 The owner of an antique store estimates that there is a 35% chance she will make $4000 when she sells an antique chinacabinet, a 55% chance she will make $3000 when she sells thecabinet, and a 10% chance she will break even when she sells the cabinet. Determine the expected gain or loss for the store.