Suppose that you watch the game show over many years and find that door #1 hides the car 50% of the time, door #2 has the car 40% of the time, and door #3 has the car 10% of the time. What then is your optimal strategy? In other words, which door should you pick initially, and then should you stay or switch? What is your probability of winning with the optimal strategy? Explain.

Investment A woman has $1,400,000 to purchasethree investments. One investment earns 8%, asecond earns 7.5%, and the third earns 10%.a. What investment strategies will give annual earnings of $120,000 from these three investments?b. What one investment strategy will minimize herrisk and return $120,000 if the 10% investmenthas the most risk?

Scenario: A sports psychologist studied the effect of a motivational program on number of injuries in one year among players of three different sports (baseball, football, and basketball). Players were randomly assigned to one of two conditions: either participate in a motivational program or none (control). Data was collected on the number of injuries sustained by each athlete that season. Question: How many levels does the factor "sports" have? Group of answer choices   0 1 2 3

The Harriet Hotel in downtown Boston has 100 rooms that rent for $150 per night. It costs the hotel $30 per room in variable costs (cleaning, bathroom items, etc.) each night a room is occupied. For each reservation accepted, there is a 5% chance that the guest will not arrive. If the hotel overbooks, it costs $200 to compensate guests whose reservations cannot be honored. How many reservations should the hotel accept if it wants to maximize the average daily profit?

Please don't provide handwritten solution ....

Find each player’s optimal strategy and the value of thetwo-person zero-sum game in Table 32.

probability problem person 1 is trying to loss weight, he needs to consume less than 2000 calories per day to lose weight, anything more than 2000 calories per day he will gain weight. he eats the same thing every day which is 2500 calories. He will do one of four exercises each day running, swimming, or lifting. pull ups. He has 25% chance he will do any one of these. but he only can pick one per day. running will lose 1000 calories, swimming will lose 1000 calories, lifting will lose 1000 calories, pull ups only will lose 100 calories. only pull ups will not allow him to lose weight the day he does it. each day he has a 25% to pick any one of these exercises. after picking randomly one exercise per day for 10 days in a row what are the odds he will lose weight after 10 days?

H3.

ASAP PLEASE   If your trading systerm has a losing percentage of 45%, how likely it is to have a series of four losses in a row?   1%   2.25%   45%   4.10%

The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. 34 5 6 789 10 Day Store 1 Store 2 Difference (Store 1 - Store 2) Send data to calculator Check 1 454 381 73 2 446 808 975 404 835 275 754 341 42 -27 221 -66 399 7 809 246 263 703 336 759 (a) State the null hypothesis H and the alternative hypothesis H₁. HO H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: Chi-Square 63 50 300 214 734 Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding (which is u…