Discuss Exponential Random Variables.
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- Events A and B are independent. Find the indicated ProbabilityP(A) = 0.02P(B) = 0.27P(A and B) =What are the effects of repeated exposure to an advertising message? The answer may depend on both the length of the ad and how often it is repeated. And experiment investigated this question using undergraduate students. All students viewed a 40 minute television program that included ads for a new smartphone. Some subjects saw a 30-second commercial others, a 90-second commercial. The same commercial was shown either one, three, or 5 times during the program. After viewing, all students answered questions about there recall of the ad, their attitudes towards the smartphone, and there intentions to purchase it. In this experiment, the length of the commercial and the number of times it was shown are. (A) the responses. (B) the blocking variables. (C) lurking variables. (D) the explanatory variables.You and your 4 other friends play 5 ranked games in Mobile legends every day for the past few months. As you play with them, you recorded the number of wins you have per day. The table below shows the number of wins you have per day and their corresponding probabilities. Compute the variance. (Round off your final answer to two decimal places. 1 3 4 P(X=x) 0.393 0.262 0.015 0.246 0.002 0.082 Add your answer
- Example8see the photo for details The capacity of the stake supporting an electrical transmission tower is lognormal random variable with an average capacity of 1X0 tons and a variation coefficient of 3X (please type the last number of your student number instead of X). For example, if the last number of your student number is 4, the values will be 140 tons and 34%, respectively). What are the chances that the stake will remain intact under a load of 1X0 tons? (Instead of X, type the last number of your student number. For example, if the last number of your student number is 4, the value will be 140 tons) A pile loading test that is inserted during the placement of the stake indicates that the stake can support at least 85+X tons of load. What are the chances that the stake will remain intact under a load of 1X0 tons in such a situation? (Instead of X, type the last number of your student number. For example, if the last number of your student numara is 4, the values will be 89 tons…You find a coin in the street and are flipping it while walking away. You happen to look at the outcomes of your coin flips and notice heads is showing up more than you think it should. After 10 flips, the coin has landed on heads 8 of the 10 flips. Deciding you need more data, you flip the coin 25 more times and it lands heads up 18 times. You have now flipped the coin 35 times, 26 of which have landed heads. You are still surprised of these results, so you decide to flip the coin 100 more times and record the data. This time, the coin landed heads up 75 times. Now, you flip your coin 135 times, and it lands heads up 101 times. Are you convinced that the coin you have found is weighted, meaning that it favors one outcome over the other? Why? What is the name of the property of probability shown in the previous example? (continuous probability, discrete probability, law of averages, law of large numbers)
- Please answer only correct. ASAPBasketball players can take shots worth 3 points, 2 points, or 1 point. A scout is assessing two players- Tabitha and Lauren-who play for different teams in different leagues. The scout wonders if they have similar or different shot selections. They take a random sample of Tabitha's games and a separate random sample of Lauren's games. They tally how many of each type of shot the players attempted in those games. Here is a summary and the results of a chi-square test: Chi-square test: Shot vs. player Tabitha Lauren 3-point 8 12 Expected 10.34 9.66 2-point 40 37 Expected 39.83 37.17 1-point 12 Expected 9.83 9.17 x² = 2.097, DF = 2, P-value = 0.350 %3D Assume that all conditions for inference were met. At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test? Choose 1 answer: This is convincing evidence that the distribution of shot type differs between Tabitha and Lauren.Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 24 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.7; H₁: p > 0.7 Ho: P = 0.7; H₁: P = 0.7 O Ho: P = 0.7; H₁: p 5 and nq > 5. O The Student's t, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic.…
- Green Tea and Prostate Cancer A preliminary study suggests a benefit from green tea for those at risk of prostate cancer. The study involved 60 men with PIN lesions, some of which turn into prostate cancer. Half the men, randomly determined, were given 600 mg a day of a green tea extract while the other half were given a placebo. The study was double-blind, and the results after one year are shown in the table below. Treatment Cancer No Cancer Green Tea 1 29 Placebo 9 21 (a) Test at a 5% significant level to see if the sample provide evidence that taking green tea extract reduces the risk of developing prostate cancer. (b) Find 98% confidence interval for the difference between two population proportions of men with PIN lesions who get prostate cancer after taking green tea extract and after taking placebo for a year. Interpret the C.I. result.Determine whether the random variable X has a binomial distribution. If it does, state the number of trials n. If it does not, explain why not. Cards are randomly drawn without replacement from a standard deck of 52. Let X be the number of cards that must be drawn before a Heart appears. Part 1 of 2 The random variable does not have a binomial distribution. Part: 1 / 2 Part 2 of 2 Choose a statement that explains why X does not have a binomial distribution. The number of trials is not fixed. There are more than two possible outcomes for each trial. The probability of success is not the same for each trial. O The trials are not independent. O X does not represent the number of successes that occur. X 5Part 2) Five hundreds tickets are sold at $ 2 each for a smartphone valued at $ 1000. What is the expected value of the gain if you purchase one ticket?
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