Farmers' market A farmer has 100 lb of apples and 50 lb of potatoes for sale. The market price for apples (per pound) each day is a random variable with a mear of 0.5 dollars and a standard deviation of 0.2 dollars. Similarly, for a pound of potatoes, the mean price is 0.3 dollars and the standard deviation is 0.1 dollars. It also costs him $2 to bring all the apples and potatoes to the market. The market is busy with eager shoppers, so we can assume that he'll be able to sell all of each type of produce at that day's price. a) Define your random variables, and use them to express the farmer's net income. b) Find the mean. c) Find the standard deviation of the net income. d) Do you need to make any assumptions in calculat- ing the mean? How about the standard deviation?

Salary An employer pays a mean salary for a 5-dayworkweek of $1250 with a standard deviation of $129.On the weekends, his salary expenses have a mean of$450 with a standard deviation of $57. What is the meanand standard deviation of his total weekly salaries?

The weights of steers in a herd are distributed normally. The variance is 40,000and the mean steer weight is 1000lbs. Find the probability that the weight of a randomly selected steer is greater than 600⁢lbs. Round your answer to four decimal places.

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Rochester, New York, averagesµ = 21.9 inches of snow for the month of December. The distribution of snowfall amounts is approximately normal with a standard deviation of σ =6.5  This year, a local jewelry store is advertising a refund of 50% off of all purchases made in December, if Rochester finishes the month with more than 3 feet (36 inches) of total snowfall. What is the probability that the jewelry store will have to pay off on its promise?

The first statistics exam had a mean of 73 and a standard deviation of 15 ​points; the second had a mean of 83 and a standard deviation of 5 points. Anna scored a 82 on both tests. Megan scored 92 on the first exam and 7272 on the second. They both totaled 164 points on the two​ exams, but AnnaAnna claims that her total is better. Explain.       Question content area bottom Part 1 The total of Anna's ​z-scores is enter your response here​, which is greater than Megan's total of enter your response here. ​(Round to one decimal place as​ needed.)

K You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 25 Model A washing machines is $212. Assume the population standard deviation is $20. The mean repair cost of 27 Model B washing machines is $228. Assume the population standard deviation is $21. At a=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha What is the claim? OA. The mean repair costs for Model A and Model B are equal. OB. The mean repair cost for Model A is less than Model B. OC. The mean repair costs for Model A and Model B are different. OD. The mean repair cost for Model A is greater than Model B. Let u₁ be the mean repair cost for Model A and let ₂ be the mean repair cost for Model B. What are Ho and H₂? OA. Ho: H1 H2 Ha H₁242 OD.…

The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100⁢lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180⁢lbs. Round your answer to four decimal places.

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A printing company spends specific amounts on fixed costs every month. The costs of those fixed costs are in the table. Monthly fixed costs Monthly charges Bank charges Cleaning Computer expense Lease payments Postage Uniforms Monthly cost ($) 373 2691 2606 2580 2535 2165 Find the sample's mean, median, range, variance, and standard deviation using technology. Round to the nearest cent, if necessary. I The mean is The median is The range is The variance is The standard deviation is