1-in-6 wins alan decides to use a different strategy for the 1-in-6 wins game of exercise 85. he keeps buying one 20-ounce bottle of the soda at a time until he gets a winner. (a) find the probability that he buys exactly 5 bottles. show your work. (b) find the probability that he buys no more than 8 bottles. show your work.

What is the opportunity cost in this scenario? harry has been very busy at work for the past two weeks. he has been working weekends too. finally, he is going to get a weekend off. originally, he planned to paint his apartment that weekend. he also considered going fishing for the weekend. but then his parents called and asked him to come for dinner because it has been a while since they have seen each other. later on, his friend theo informed him about a surprise birthday party for another friend. theo plans to reserve a room at a restaurant for the celebration, with the cost to reserve the room split between theo, harry, and three other friends. now harry is confused about what he should do over the weekend. he decides that, for him, the most important commitments are going over to his parent's house and attending his friend's birthday party. in the end, harry decides to see his parents.

Self-interest achieve society’s economic goals because producers know which goods consumers want the most. as consumers and producers exercise their freedom to act in their own self-interest, markets will produce the desired goods at the lowest possible cost. consumers and producers both operate based on society’s economic goals. consumers know which goods can be produced at the lowest cost. there is a wide variety of desired goods and services in a market system because producers determine what to produce. consumers change their minds frequently. there is always a need to produce something new and improved. individual wants are diverse. what is produced is ultimately determined by consumers, because if the goods offered are not what consumers want, consumers will not buy them. producers, because they are driven by profits. producers, because they determine what to produce. consumers, because they participate in marketing surveys.

An insurance company estimates the probability of an earthquake in the next year to be 0.0015. the average damage done to a house by an earthquake it estimates to be $90,000. if the company offers earthquake insurance for $150, what is company`s expected value of the policy? hint: think, is it profitable for the insurance company or not? will they gain (positive expected value) or lose (negative expected value)? if the expected value is negative, remember to show "-" sign. no "+" sign needed for the positive expected value