.State Farm Insurance studies show that in Colorado, 64% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 12 property damage claims involving automobiles are selected at random. (a) Let r be the number of claims made by males under age 25. Make a histogram for the r-distribution probabilities. (b) What is the probability that three or more claims are made by males under age 25? (Use 3 decimal places.) (c) What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution? (Use 2 decimal places.) ? ? 2.A professor determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these activities has a total of 100 possible points. However, the activities carry different weights. Attendance is worth 6%, each paper is worth 8%, each test is worth 19%, and the final is worth 21%. (a) What is the average for a student with 84 on attendance, 78 on the first paper, 89 on the second paper, 68 on test 1, 80 on test 2, 95 on test 3, and 81 on the final exam? (Enter your answer to one decimal place.) (b) Compute the average for a student with the above scores on the papers, tests, and final exam, but with a score of only 30 on attendance. (Enter your answer to one decimal place.)
1.State Farm Insurance studies show that in Colorado, 64% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 12 property damage claims involving automobiles are selected at random.
(c) What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution? (Use 2 decimal places.)
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2.A professor determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these activities has a total of 100 possible points. However, the activities carry different weights. Attendance is worth 6%, each paper is worth 8%, each test is worth 19%, and the final is worth 21%.
(b) Compute the average for a student with the above scores on the papers, tests, and final exam, but with a score of only 30 on attendance. (Enter your answer to one decimal place.)
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Given : State Farm Insurance studies show that in Colorado, 64% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 12 property damage claims involving automobiles are selected at random.
Let r be the number of claims made by males under age 25.
Here , r ~ B (n=12 , p=0.64)
Binomial probability probability formula is given as :
where n is the number of trials, p is the probability of success on a single trial, and X is the number of successes.
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