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- 4 At the School fête, few people have entered any of the 24 meat raffles, so to support the school, Larry buys 8 of the 20 tickets in each raffle. a Calculate the expected value and standard deviation for the random variable of the number of Larry's wins. b If Larry wins 6 raffles, calculate how many standard deviations Larry's result is below the mean, as a measure of his poor luck.Q2: a survey is performed to investigate the relationship between smoking and coffee drinking. The distribution of the sample is presented in the following table Coffee No Coffee Total 40 Smoker Non-Smoker Total 60 115 85 What is the probability that a randomly selected person from the sample is a non-smoker? b. What is the probability that a randomly selected person from the sample is a non-smokes and a. drinks coffee? C. What is the probability that a randomly selected person from the sample either smokes or drinks coffee? d. What is the probability that a randomly selected person from the sample is smokes given that he drinks coffee? e. Are the two events "smoke" and "drinks coffee" independent? Why?IV. Solve the problem. (don't forget to attached the solution) The Xiaomi brand releases three cellphones that are tested at random. a. Construct the probability distribution of the random variable X (number of defective cellphones). Let G represent non-defective cellphones and, Let F be the defective cellphones. b. Create a histogram representing the distribution
- What is the probability that a randomly selected seedling was damaged by deer? . probability:find mean . Outcome Probability 1 0.03 2 0.3 3 0.12 4 0.03 5 0.22 6 0.3Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The number of fish caught during a fishing tournament c. The response to the survey question "Did you smoke in the last week?" d. The distance a baseball travels in the air after being hit e. The number of hits to a website in a day f. The time it takes for a light bulb to burn out a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? C O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the number of fish caught during a fishing tournament discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable c. Is the response to the…
- The mean height of women in a country (ages 20 −29) is 63.6 inches. A random sample of 55 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ= 2.65Howard is 30% likely to be subjected to the Tax Bureau's audits due to his previous crinimal record. What is the probability that he will not be subjected to the random audit for at least 3 years?a. describe random variable x.b. what distribution does x follow? explainc. what is the probability that he will not be subjected to the random audit for at least 3 years?Homework Housework Outside Employment Recreation Other Total Male 29 15 20 23 96 Female 18 17 26 39 4 104 Total 47 32 46 62 13 200
- Benny’s Barber Shop in Cleveland has five chairs for waiting customers. The number of customers waiting is a random variable Y with the following probability distribution. a. Find the mean. (Answer in 3 decimal places.) Answer: Blank 1 b. Find the standard deviation. (Answer in 3 decimal places.) Answer: Blank 2There are 11 details and 4 of them are standard. Three details are randomly selected. Find the probability distribution of the random variable X, where X is a number of the standard details among 3 selected details. Find the mean and standard deviation of X.K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X
