Suppose a player's true batting average is Normal, with mu = .272, and standard deviation, sigma = 0.02. What is the probability that this player will have a batting average LESS THAN 0.250 on the basis of luck alone?
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Suppose a player's true batting average is Normal, with mu = .272, and standard deviation, sigma = 0.02. What is the probability that this player will have a batting average LESS THAN 0.250 on the basis of luck alone?
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- Suppose a player's true batting average is Normal, with mu = .275, and standard deviation, sigma = 0.02. What is the probability that this player will have a batting average GREATER THAN 0.300 on the basis of luck alone?a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places)Suppose that the dividends of dividend-paying stocks are normally distributed with a mean of 3.86% (as a percentage of the share price) and a standard deviation of 1.25%. In a sample of 55 dividend-paying stocks, what is the probability that the average dividend will be 3.70% or more? (please round your answer to 4 decimal places)
- On average a supermarket sells 500 litres of milk a day with a standard deviation of 50 litres. If the supermarket has 600 litres in stock at the beginning of a day, what is the probability that it will run out of milk? What is the probability that demand is between 450 and 600 litres in a day? How many litres should the supermarket stock if it wants the probability of running out to be 0.05? 4. How many should it stock if it wants the probability of running out to be 0.01?Consider an insurance company that sells car insurance to several thousand households in south Florida. Each policy has a return of 1% and a standard deviation of 5%. Policyholders only submit claims when they get into car accidents. Assume that car accidents are uncorrelated across policyholders. What is the standard deviation of the insurance company's returns?Home prices in a particular neighborhood average $350k with a standard deviation of $30k. They are not Normally distributed. Your realtor pulls a random sample of 30 houses for you to look at. What is the probability that the average price of these 30 houses is more than $345k? (Please round your answer to 3 decimal places: ex, 0.123)
- The value of the ideal standard deviation is (two decimal places, no zeroes anywhere)a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places) b. An instructor has found that the time spent by students on a particular homework assignment follows a normal distribution with mean 150 minutes and standard deviation 40 minutes. The probability is 0.8 that a randomly chosen student spends less than how many minutes on this assignment. (answer in one decimal place),IQ is normally distributed with a mean of 100 and a standard deviation of 16. A local school is considering what its minimum IQ score should be for admission. What should the minimum IQ score be so that only 10% of all students in the area can qualify for admission? Round your answers to whole numbers.
- A set of average city temperatures in August are normally distributed with a mean of 21.25° C and a standard deviation of 2°C. What proportion of temperatures are between 19.63°C and 20.53°C? You may round your answer to four decimal places.The time taken to complete a bicycle race is normally distributed, with anaverage time (μ) of 2.25 hours and a standard deviation (σ) of 0.65 hours.What is the probability that a randomly selected cyclist will: Q.7.3.1 Take between 2.75 and 3.15 hours to complete the race? Interpretyour answer. Q.7.3.2 Take between 2.05 and 2.15 hours to complete the race? Interpretyour answer.If the economy booms, Meyer&Co. stock will have a return of 20.8 percent. If the economy goes into a recession, the stock will have a loss of 13.1 percent. The probability of a boom is 63 percent while the probability of a recession is 37 percent. What is the standard deviation of the returns on the stock? 9.29% 12.43% 13.56% 14.61% 14.61%