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- Question 6 Prospect Z ($2, 0.30 ; $14, 0.40; $29, 0.30) What is the standard deviation of prospect Z? (Note: The answer may not be a whole number: please round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully)The value of the ideal standard deviation is (two decimal places, no zeroes anywhere)the probability of reaching the wrong conclusion to 0.05 the probability of a Type II error equal to 0.05 the probability of reaching the correct conclusion equal to 0.05 the probability of a Type I error equal to 0.05 attached in ss below thanks
- The weekly salary paid to employees of a small company that supplies part-time laborers averages s800 with a standard deviation of $500. (a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week. (b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week? (c) If every employee receives a 5% salary increase for the next year, how does the normal model change? (d) If the lowest salary is $300 and the meltian salary is $550, does a normal model appear appropriate?The number of hits per day on the Web site of a tool company is normally distributed with a mean of 600 and a standard deviation of 120. a. What proportion of days have more than 750 hits? b. What proportion of days have between 660 and 750 hits? c. Find the number of hits such that only 10% of the days will have the number of hits below this number. Click the icon to view the standard normal table of the cumulative distribution function. ... a. The proportion of days with more than 750 hits is (Round to four decimal places as needed.) b. The proportion of days with between 660 and 750 hits is (Round to four decimal places as needed.) c. Only 10% of the days will have less than hits. (Round to one decimal place as needed.)For this question, you must use the empirical rule to find the answers, rather than the more exact answers using Excel. The average monthly charges of water utility bill in Portland, OR is $52.10. Let's assume the water utility bills are normally distributed with a standard deviation of $16.80. (a) What percentage of water utility bills will be less than $35.30? % (b) What percentage of water utility bills will be more than $ 52.10? % (c) What percentage of water utility bills will cost between $35.30 and $68.90? % (d) What percentage of water utility bills will cost between $52.10 and $102.5 % (e) What is the minimum bill to be the most expensive 2.5% of all water utility bills? $
- A car salesperson estimates the following probabilities for the number of cars that she will sell in the next week: Number of cars 0 1 2 3 4 5 Probability 0.10 0.20 0.35 0.16 0.12 0.07 a. Find the expected number of cars that will be sold in the week.b. Find the standard deviation of the number of cars hat will be sold in the week. c. The salesperson receives a salary of $250 for the week, plus an additional $300 for each car sold. Find the mean and standard deviation of her total salary for the week. d. What is the probability that the salesperson’s salary for the week will be more than $1,000?1. Suppose the prices of used cars in the market are normally distributed with a mean of $15,000 and a standard deviation of $7,5000. What is the probability of selecting a car from this market and its priced above $20,000.A major credit card company has determined that the amount its customers charge on their accounts is normally distributed with an average of R2800 per month and a standard deviation of R200.What proportion of customers charge more than R2750 per month on their account (rounded off to three decimals)?
- 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%Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the data is 3.3°F. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data rounded to two decimal places, 0.69°F, assuming the goal is to approximate the standard deviation within 0.2°F. The estimated standard deviation is °F. (Round to two decimal places as needed.) Compare the result to the actual standard deviation. The estimated standard deviation is C the actual standard deviation. Thus, the estimated standard deviation Data table the goal. 99 98.2 97.5 98.4 99.2 98 98.7 98.5 98.1 98.1 98.5 99.3 98.7 96.7 96.5 98.7 98 97.3 98.4 98 97.7 98.3 98.9 97.1 99 97.1 98.7 98.6 99.4 97.6 97.6 97.7 97.9 99.4 98.7 99.6 97.8 97.9 99 98.3 97.7 98.7 98.2 98.7 97.6 98 97.7 98.6 98.5 98.3 97.7 99 96.3 98 98.2 96.8 97.3 97.3 97.5 98.5 97.6 97.7 97.2 97.7 98 98.8 99 98.5 98 97.8 97 97.3 99.1 98.7 98.6 98.3 98.4 99 98…Consider an investment that pays off $700 or $1,600 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Fill in the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (.e., 20% not 0.20). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value Percent Increase Standard Deviation 1150 S 28 % $ 8 % $ Expected Return N/A Doubled Tripled : #