The Duff brewery changes the set of prizes, which are now monetary: X = {0, 10, 20}. There are three lotteries: 5 3 4 ,q = 9. 1 and r = 4 3 p = 12' 12' 12 12 12' 12, 12' 12' 12, 1. For each lottery, calculate the expected value. Is it possible to rank these three lotteries in terms of stochastic dominance? Show and explain. 2. Give the slope of the iso-expected value lines in the Marschak triangle.
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- A news station polls 405 voters to predict whether a budget will pass. Suppose the budget has support form 55% of voters. What is the probability the news station's smaple will lead to predict defeat?Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).Each server can handle 4.001 customers per minute(Poisson). If there are 5 servers, determine the probability of 4 or fewer customers in the system. a. 0.047 b. 0.059 c. 0.118 d. 0.764Bianca buys a bag of cookies that contains 9 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 7 oatmeal cookies. What is the probability that Bianca randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you answer as a reduced fraction.
- Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O OThe map below shows the percentage change in housing prices from June 2014 to June 2015 in each of nine regions (U.S. Census divisions).+ Pacific 7.68 Mountain 7.17 West North Central 3.91 West South Central 6.92 East North Central 4.51 East South Central 4.88 Middle Atlantic 1.72 South Atlantic 6.12 New England 3.18 by You are choosing a region of the country to move to. Let E be the event that the region you choose saw a increase in housing prices of 4% or more, and let F be the event that the region you choose is on the east coast. Describe the event of EU F in words. You choose a region that saw an increase in housing prices of 4% or more or is on the east coast. You choose a region that saw a increase in housing prices of 4% or more and is on the east coast. List the outcomes of E UF. OEUF = {Pacific, Mountain, South Atlantic} EUF = {East North Central, South Atlantic, West North Central, Mountain, Pacific} EUF = {New England, Middle Atlantic, East North Central} EUF = {East North…2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
- Q3 i): A survey of 500 randomly chosenindividualsis conducted. The individuals are askedto nametheir faxorite sport. The STATISTIX pie chart inthe following figure summarizesthe results of this survey Other (5.0%)- Hockey (10.0%)- -Baseball (30.0%) Golf (10.0%)- Footbal (25.0%)- -Basketbal (20.0%) Fig. 2-11 STATISTIX pie chart La) How many individuals inthe 500 gave baseball astheirfavorite sport? (b) How mary gave a sport other than basketball as their favorite sport? L) How many gave hockey or golf astheir favorite sport? ii) Thefollowing table gives the frequency distribution for the cholesterol values of 45 patients ina cardiacrehabilitation study. Givethe IgweLandupper class limits and boundaries as well asthe class marks for each class Chalastarol vala Fraquancy 170 to 189 190 to 209 10 210 to 229 17 230 to 249 13 250 to 269While gathering eggs one day, Lisa has 15 eggs when Liana has 20 eggs at the moment when they started throwing them at each other. If 10% of the eggs are rotten, use the Binomial Distribution to calculate the probability that Lisa was hit by 3 or fewer rotten eggs from Liana.During a basketball game, Sebastián is shooting two free throws. He makes 95% of his free throws. Assuming that his free throws are independent events, find the percent chance that he... (Note: Do not round your answers.) is in the groove and makes both free throws. makes the first and then misses the second. misses the first and then makes the second. struggles and misses both of his free throws. What is the sum of these four answers? % % % do %
- the sales manager knows that 18% of his clients do not pay their debts in full. He supposes that he selects a sample of 59+ clients. What is the probability that 15% or more will not be fulfilled in their obligations? Type your answer here:Itranscript One male and one female dam rat pup were randomly selected from 8 litters to perform the swim maze. Each pup was placed in the water at one end of the maze and allowed to swim until it escaped at the opposite end. If the pup failed to escape after a certain period of time, it was placed at the beginning of the maze and given another chance. The experiment was repeated until each pup accomplished three successful escapes. The table to the right reports the number of swims required by each pup. Is there sufficient evidence of a difference between the mean number of swims required by male and female pups? Use a=0.01. Comment on the assumptions required for the test to be valid. B. t> Litter 1 2 3 OC. t 10 12 Female 11 [6526675 10Q2/ An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is the probability that each of the balls will be (a) of the same color? (b) of different colors? Ans: (a- 0.08875, b- 0.247)