A fair coin is flipped three times. Let X be the number of heads that appear. What is the expected value of X?
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- The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2,..., 15, 16 OX= 1, 2, 3, OX= 1, 2, 3, OX=1,2,3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B 0.02 □ Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)Classify the random variable X as discrete or continuous. Explain your reasoning. X represents the number of Blu-ray TM discs you own. A. Discrete; the number of discs is countable. B. Continuous; the number of discs could be any number greater than or equal to 0. C. Continuous; the number of discs is countable. D. Discrete; the number of discs could be any number greater than or equal to 0.Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of people with blood type A in a random sample of 14 people. (b) The time it takes to fly from City A to City B. (a) is the number of people with blood type A in a random sample of 14 people discrete or continuous? OA. The random variable is continuous. The possible values are 0≤x≤ 14. B. The random variable is discrete. The possible values are x = 0, 1, 2,..., 14. OC. The random variable is discrete. The possible values are 0 ≤x≤ 14. O D. The random variable is continuous. The possible values are x = 0, 1, 2,..., 14. (b) is the time it takes to fly from City A to City B discrete or continuous? .RE OA. The random variable is continuous. The possible values are t> 0. OB. The random variable is discrete. The possible values are t= 1, 2, 3, ... OC. The random variable is discrete. The possible values are t > 0. OD. The random variable is…
- How many different selections are possible? What is the probability of winning? If you win, what is your net profit? Find the expected value.There are 2 cashews and 3 pistachios in a bag. You take one nut out at random and eat it, and repeat this until you get a cashew. Let X be the number of nuts you had to take in order to get a cashew. For example, if you took out a pistachio, another pistachio, and then a cashew, X would be 3. Find the expected value of X. (A) ½ (В) 4 (C) 2 (D) 3 (E) 3 (F) 1 (G) (H) ½Loren records how many days since the beginning of quarantine has passed for each day he counts. Test the hypothesis that days from the beginning of quarantine and spots counted are independent. H0 : days and spots are independent vs. Ha : days and spots are not independent. What is the formula of the test statistic? How do you calculate the expected number of observations in a given cell? What is the test statistics? How many degrees of freedom are there? What is the p-value of the test statistic? Do you reject H0? Data: Days Since Quarantine Dots on the Wall 1 104202 2 104279 3 104264 4 104170 5 104117 6 104195 7 104248 8 104161 9 104220 10 104285 11 104268 12 104281 13 104208 14 104204 15 104270 16 104252 17 104221 18 104381 19 104282 20 104342 21 104253 22 104267 23 104326 24 104288 25 104186 26 104277 27 104199 28 104300 29 104220 30 104286 31 104319 32 104388 33 104367 34 104284 35 104424 36 104262…
- A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x= number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore. 45% 79% at least 4 1% 35% 12% A USE SALT (b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Round your answer to two decimal places.) 66 (c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Round your answer to two decimal places.) 21 (d) Compute , the expected value of the number of fish caught per fisherman in a 6-hour period (round at least 4 to 4). (Round your answer to two decimal places.) H= 87 x fish (e) Compute o, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round at least 4" to 4). (Round your answer to three decimal places.) x…The random variable X represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has at least one car. Please show your . Thank you.When rolling two fair six-sided dice, getting a pair of 1s is called “snake eyes.” The probability of getting “snake eyes” on any roll is 1/36. Suppose that a game player rolls the two dice 80 times. Let X = the number of rolls that result in “snake eyes.” Find P(X = 2). Interpret this value in context.