The number of goals in a football match is a Poisson random variable with parameter λ = 2.28. Given the number of goals is less than three, find the probability that there are no goals. [Enter the answer correct to two decimal places.] Answer:
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![The number of goals in a football match is a Poisson random variable with parameter λ = 2.28. Given the number of goals is less than three, find the
probability that there are no goals. [Enter the answer correct to two decimal places.]
Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51bd0dc1-fb88-4f24-b626-9204fc4b3231%2F11e2376f-f997-44d2-99a1-104c80a59917%2Fa2xl737_processed.png&w=3840&q=75)
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- Let X denote that number of years I will use my current computer, and Y the number of years that I will use my tablet. The joint distribution of X and Y is as shown below: What is the probability that I will use the tablet for exactly one year? a b Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. с 0.082 e 0.160 0.210 d 0.344 Y 0.400 1 2 3 X 1 2 3 0.05 0.16 0.19 0.10 0.13 0.12 0.07 0.10 0.08Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant A B C D Order Accurate 339 279 244 133 Order Not Accurate 35 53 33 10 If three different orders are selected, find the probability that they are all from restaurant D.Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). 21.0 15.1 19.0 17.6 17.5 15.5 14.7 17.1 y 87.8 71.4 94.1 84.7 81.4 75.2 69.7 82.0 15.4 16.2 15.0 17.2 16.0 17.0 14.4 69.4 83.3 79.6 82.6 80.6 83.5 76.3 Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answer to four decimal places.) %3D X = y = + %3D Find the value of the coefficient of determination r. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to four decimal places. Round your…
- Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D B D Order Accurate 319 270 231 129 Order Not Accurate 31 53 40 16 If one order is selected, find the probability of getting an order from restaurant B or C or an order that is not accurate. The probability of getting an order from restaurant B or C or an order that is not accurate is (Round to three decimal places as needed.)A group of people were asked if life exists elsewhere in the galaxy. 209 responded "Yes", and 227 responded "No". Find the probability that if a person is chosen at random, the person believes life exists elsewhere in the galaxy. Probability = (Round to 4 decimal places) %3D Submit Question 17,123 4 6. NOV 1 tv 16 MacBook Air 80 000 000 F6 F7 F4 F5 F3 (8)Problem Solving. Solve the following problems. No immediate rounding. Round off final answers to three decimal places. A protective enchantment which alerts the Charms professor when a death eater attacks a magical school is designed to have a 90% reliability rate. Suppose that the nine magical schools equipped with this enchantment experienced an attack from the death eaters. Define the random variable X as the number of Charms professors alerted out of nine. Assuming that protective enchantment alerts are independent 1. Write down the associated PMF of X. 2. Compute for the probability of alerting at least 7 Charms professors.
- Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 16 6 8 9 10 18 14 13 9 10 25 18 13 8 14 3 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use ? = 0.01. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.02. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.3127 b. 0.5846 c. 0.5364 d. 0.404 e. 0.4773Consider a game of rolling a single die, with the outcome as the random variable X. A player gains $10 if the outcome is {1, 2, 3} and a player loses $5 if the outcome is (4, 5, or 6}. It does not cost anything to play the game. Calculate o. Round to 2 decimal places.
- The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is men or heavy drinker. Round your answer to three decimal places. Sex Regular Drinker Heavy Drinker Total Man Woman Total 87 101 188 0.463 0.032 0.016 0.479 Non-drinker 35 87 122 49 11 60 3 3 6ASK YOUR TEACHER Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 14 7 10 11 12 19 14 11 9 8 23 19 13 7 10 7 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and a = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 11%; H,: µ 11%; right-tailed O Ho: H + 11%; H,: u = 11%; two-tailed O Ho: H = 11%; H,: u + 11%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your…Which of the following is an example of a discrete random variable? The amount of time it takes for a worker to complete a complex task. The monthly electric bill for a local business. The number of people eating at a local cafeteria between noon and 2:00 p.m.
