what should we pay in return each time the sum does not exceed four to make the game fair?
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- You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest centA lottery offers one $2000 prize, one $900 prize and five $200 prizes.One thousand tickets are sold at $5 each. Find the expectation if a person buys oneticket.You flip two fair coins. If both coins land heads you win $2. Otherwise you lose $1. What is the expectation of this game? Round your answer to the nearest cent.
- Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10For the wheel pictured on the right, assume that a person spins the pointer and is awarded the amount indicated by the pointer. If it costs $3 to play the game, determine (a) the expectation of a person who plays the game and (b) the fair price to play the game. $4 S7solve question 2 pppllleeaaaasee
- If the famous insurance company, Lloyd’s of London, insures a $3 million Monet painting for $5000 per year. And, in each year, the painting has a .00021 chance of being stolen according to the Lloyd’s research team? From Lloyd’s perspective, find the expectation for insuring this painting for one yearYou pay $3.50 to play the following game:Each of two fair dice are numbered with 3 on one side, a 2 on two sides, and a 1 on three sides.The dice are rolled once and you are returned the dollar amount corresponding to the sum on thefaces. What is the expected earning from the game?An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option willbe worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20and 30, the option will be worth $200. A trader thinks there is a 50% chance that the stock will closein the 20-30 range, a 20% chance that it will close above 30, and a 30% chance that it will fall below20. a) Create a valid probability table.b) How much should the trader expect to gain or lose?c) Should the trader buy the stock? Why?
- In old gangster movies on TV, you often hear of "number runners" or the "numbers racket." This numbers game, which is still played today, involves betting $1 on the last three digits of the number of stocks sold on a particular day in the future as reported in The Wall Street Journal. If the payoff is $600, what is the expectation for this numbers game?a lottery offers one $1000 prize, one $500 three $400 prize and five $100 prize. one thousand tickets are sold at $5 each find the expectation if a person buys three tickets. assume that the player’s ticket is replaced after each draw and that the same ticket can win more than one prizeAlyssa and Gabriel play a game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives away $3. If Alyssa rolls a 4 or 5, he gives her $2. However if she rolls a 6, she gives him $22. Determine Alyssa's expectation and determine Gabriel's expectation