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1. In studying the causes of power failures, these data have been gathered.
5% are due to transformer damage.
80% are due to line damage.
1% involve both problems.
Based on these percentages, approximate the probability that a given power failure
involves:
(d) transformer damage given that there is no line damage;
(e) transformer damage or line damage.
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- vm 6.2 10 The table summarizes results from 976 pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 41 85 No 219 631 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was not intoxicated.Report the answer as a percent rounded to one decimal place accuracy.This is a Statistics problem. Please explain each step thoroughly. The problem I'm having issues with is shown below: 1. Calculate the probability that the individual actually does not suffer from the disease Dc if the test turns out to be positive, P(Dc|+).Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 225 numerical entries from the file and r = 51 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.(i) Test the claim that p is less than 0.301. Use ? = 0.05.
- Harrison is a sports statistician and is interested in the number of strikeouts by a starting pitcher over the past five years for a certain professional baseball league. He randomly selects 471 games and records the number of strikeouts by one of the starting pitchers in the game, where the pitcher for the home or visiting team is selected at random. Harrison records the total number of strikeouts by the starting pitcher in that game, x, and the probability of each value, P(x), as shown in the table provided. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. Round the mean and standard deviation to three decimal places. Number of strikeouts x P(x)0 0.0161 0.0452 0.0593 0.0834 0.0985…Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 220 numerical entries from the file and r = 49 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. A) What is the value of the sample test statistic? (Round your answer to two decimal places.)B) Find the P-value of the test statistic. (Round your answer to four decimal places.)Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 220 numerical entries from the file and r = 49 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.
- The helght of all the people in your neighborhood. QUESTION 6 The Sarasota Police department collected data on the number of car accidents ( X ) that occur each day on a certain stretch of route 41. From this data, they derived the probability distribution shown in the table below. P(X) 0.80 1 0.15 0.05 What is the expected mean (average) number of accidents that occur each day? 0.50 0.25 0.33 1.00 Hal Saveand Submit to saue and submit Click Save All Ansm e Type here to searchBenford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…#1. Use Minitab to simulate 1000 rolls of a pair of dice. Find the number of times that the sum of the two dice is exactly 7. Enter that value here. Based on that result, use the relative frequency approach to estimate the probability of getting a 7 when two dice are rolled. Enter the estimated probability here. How does the estimated probability compare to the true probability? (The true probability found using the classical approach to probability is P(7)=.167) Use the classical approach (no Minitab needed) to find the probability for the sum óf the two dice. You can also verify that P(sum of 2 dice = 7) =.167. P(sum of 2 dice = 2) = P(sum of 2 dice = 3) = P(sum of 2 dice = 4) = P(sum of 2 dice = 5) = P(sum of 2 dice = 6) = P(sum of 2 dice = 8) = P(sum of 2 dice = 9) = P(sum of 2 dice = 10) = P(sum of 2 dice = 11) = P(sum of 2 dice = 12) %3D
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