The average number of acres burned by forest and range fires in a large county is 3,900 acres per year, with a standard deviation of 650 acres. The distribution of the number of acres burned is normal a. Compute the probability that more than 4,000 acres will be burned in any year, b. Determine the probability that fewer than 3,000 acres will be burned in any year. c. What is the probability that between 1,500 and 3,800 acres will be burmed? those years when more than 4,500 acres are burned, help is needed from eastern-region fire teams. Determine the probability help will be needed in any year. d. a. The probability that more than 4,000 acres will be burned is 4404 (Round to four decimal places as needed.) b. The probability that fewer than 3,000 acres will be burned is 0838 (Round to four decimal places as needed.) c. The probability that between 1,500 and 3,800 acres will be burned is. (Round to four decimal places as needed.) d. The probability help will be needed is .1788 (Round to four decimal places as needed.)

For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If a women aged 18-24 is randomly selected, find the probability that her mean systolic blood pressure is between 119 and 122 mm HG.answer options..a) 0.6700b)0.0833c)0.1154d) 0.9167

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 62. Round to four decimal places. O A. 0.1293 B. 0.3707 O C. 0.4772 O D. 0.0228

The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard deviation of 0.02 inch. What is the probability that the diameter will exceed 0.91 inch?  a. 0.1915 b. 0.2785 c. 0.6170 d. 0.3185 e. 0.3085

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 420 grams and a standard deviation of 24 grams. Find the weight that corresponds to each event. a. highest 20 percent b. middle 60 percent c. highest 80 percent d. lowest 15 percent

Suppose Michigan is favored by 17.5 points over Indiana. If you bet a “unit” on Indiana and Indiana loses by 17 or less, you win $10. If Indiana loses by 18 or more points, you lose $11. Note: Both Michigan and Indiana are NCAA Basketball teams. 1)Find the mean and standard deviation of your winnings on a single bet. Assume that there is a 0.5 probability that you will win your bet and a 0.5 probability that you will lose your bet.

An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.5 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 117 cm. Probability =

Assume that the number of days from conception to birth is normally distributed with a mean of 258 days and a standard deviation of 10 days. What is the probability that my pregnancy will be between 238 and 278 days? O 75 85 47.5 98 O 95

The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 67. Round to four decimal places. O A. 0.0228 O B. 0.4772 O C. 0.1293 O D. 0.3707

The average income tax refund for the 2009 tax year was $3142. Assume the refund per person follows the normal probability distribution with a standard deviation of $926. Complete parts a through d below. a. What is the probability that a randomly selected tax return refund will be more than $2100? (Round to four decimal places as needed.) b. What is the probability that a randomly selected tax return refund will be between $1400 and $3000? (Round to four decimal places as needed.) c. What is the probability that a randomly selected tax return refund will be between $3200 and $4200? (Round to four decimal places as needed.) d. What refund amount represents the 35th percentile of tax returns? $ (Round to the nearest dollar as needed.)