Assume that Security K has a mean of 8.32% and a standard deviation of 3.06%. Given this information, determine the probability of observing a return between 2.5% and 6.5%. O 28.51% O 30.72% O24.74% 23.24% 27.41%
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- Quarters Assume that weights of quarters minted after 1964 are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g (based on U.S. Mint specifications). a. Find the probability that a randomly selected quarter weighs between 5.600 g and 5.700 g. b. If 25 quarters are randomly selected, find the probability that their mean weight is greater than 5.675 g. c. Find the probability that when eight quarters are randomly selected, they all weigh less than 5.670 g. d. If a vending machine is designed to accept quarters with weights above the 10th percentile P10, find the weight separating acceptable quarters from those that are not acceptable.6.7 In 2015, the per capita consumption of bottled water in the United States was reported to be 36.2 gallons. Source: Data extracted from bottledwater.org/economics/bottled-water-market. Assume that the per capita consumption of bottled water in the United States is approximately normally distributed with a mean of 36.2 gallons and a standard deviation of 10 gallons. a. What is the probability that someone in the United States consumed more than 33 gallons of bottled water in 2015? b. What is the probability that someone in the United States consumed between 10 and 20 gallons of bottled water in 2015? c. What is the probability that someone in the United States consumed less than 10 gallons of bottled water in 2015? d. Ninety-nine percent of the people in the United States consumed less than how many gallons of bottled water?Assume the mean and standard deviation of sample returns are 8% and 10% respectively. Assuming that the returns are normally distributed, what is the probability of an actual return above 28%? O A. 50% O B. 68% O C. 2.5% O D. 16%
- Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 700 gas stations, the mean price for regular gasoline at the pump was $2.876 per gallon and the standard deviation was $0.008 per gallon. A random sample of size 45 is drawn from this population. What is the probability that the mean price per gallon is less than $2.874? The probability that the mean price per gallon is less than $2.874 is (Round to four decimal places as needed.)Using the table below, you decide to create a two-stock portfolio of stocks B and C. Calculate the expected return and standard deviation if you allocate 43.1077% to B and 56.8923% to C. t A,% B, % C,% D, % Mkt, % 1 24.75 38.48 45.11 34.58 33.18 2 23.01 56.00 20.05 -6.87 11.86 3 -5.16 7.74 14.11 1.47 -15.73 -8.17 5.14 -24.72 -4.75 -3.40 5 41.69 49.20 1.46 5.63 -14.56 6 -12.89 -5.27 22.40 -1.64 -10.27 Return 8.63%; Standard Deviation = 13.17% = Return 5.96%; Standard Deviation = 13.32% = Return 18.30%; Standard Deviation = 17.81% = = Return 11.73%; Standard Deviation = 16.44%Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.12 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.02 and 12.08 ounces. Group of answer choices 0.1649 0.1525 0.8475 0.8351
- The average return for large-cap domestic stock funds over certain three years was 7.2%. Assume the three-year returns were normally distributed across funds with a standard deviation of 2.2%. What is the probability an individual large-cap domestic stock fund had a three-year return of 5% or less? Group of answer choices 0.10 0.28 0.21Use R calculator to solve. Show all work.A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 19 days yields the following return percentages. 0.28, 1.92, -1.2, 2.78, 1.97,-0.57, 1.46, -0.93, 0.58,-1.41, -1.15, 0.01, -1.49, −0.94, 1.73, 2.07, -0.83, 1.44, -2.28 Send data to calculator If we assume that the returns are normally distributed, find a 90% confidence interval for the mean daily return on this stock. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: 0 Upper limit: 0 X
- Toss three fair coins, and let x equal the number of heads observed,. A.Calculate p(x) for each value of x. c. What is P(x = 2 or x = 3)? d. What is the expected value and standard deviation?Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 700 gas stations, the mean price for regular gasoline at the pump was $2.898 per gallon and the standard deviation was $0.008 per gallon. A random sample of size 60 is drawn from this population. What is the probability that the mean price per gallon is less than $2.897? The probability that the mean price per gallon is less than $2.897 is (Round to four decimal places as needed.)Assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard deviation of 19. Find the probability that a randomly selected adult has an IQ greater than 135.9.(Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 135.9 is ____