Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find the indicated probability. P((ANB)') P((ANB)) = (Type a decimal.) 35 10 25 B 30
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- A. Construct the probability distribution for the random variables described in each of the following situations. Draw the corresponding histogram for each probability distribution.1. Random variable X which is equal or corresponds to 52. Random variable Y, which is equal or corresponds to 8Note: Answer number 3 letter b only.ANSWER D ONLY
- Q1. The table below shows voters choose at random between African American and African American democrats: Republican Democrats Total African-American 4 12 16 White/others 44 40 84 Total 48 52 100 Using the above table find the probability that the voter is either African American or DemocratRefer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 42 11 Subject Is Not a Drug User 2 29 The probability of a false positive test result is (Round to three decimal places as needed.) Who would suffer from a false positive result? Why? O A. The person tested would suffer because he or she would be suspected of using drugs when in reality he or she does not use drugs. B. The employer would suffer because the person tested would not be suspected of using drugs when in reality he or she does use drugs. C. The person tested would suffer because he or she would not be suspected of using drugs when in reality he or she does use drugs. D. The employer would suffer…The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. a. Find the probability of getting exactly 6 girls in 8 births. b. Find the probability of getting 6 or fewer girls in 8 births.
- D. Construct the probability distribution for each discrete random variable. 1. Let W be the square of the number when a fair die is rolled. 2. Let X be the number of girls in a family with 3 children. 3. Let Y be the product of two numbers taken separately from two boxes containing numbers 1, 2, 3, and 4. 4. Let B be the number of boys in a committee of 4 taken from 3 boys and 4 girls. 5. Let S be the sum of three numbers taken from 3 jars containing 1, 2, and 3.The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…i need parts D and E
- M3Answer number 3K 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
