Calculate the Average and the variance

Consider the following data: 7 8 P(X = x) 0.2 0.2 0.2 0.2 0.2 %3D Step 2 of 5: Find the variance. Round your answer to one decimal place. 5.

The owner of a farmer's market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x oranges. Determine the variance of the number of oranges purchased by a customer. Round to two decimal places. X P(x) 1 0.05 O A. 0.56 OB. 3.97 OC. 3.57 OD. 1.95 2 3 0.19 0.20 4 5 0.25 0.12 6 0.10 7 8 0 0.08 9 10- 0 0.01

Which of the following correctly represents the coefficient of determination in terms of the variance that is an output from the analysis of variance table? Select one. explained variance + unexplained variance total variance unexplained variance total variance total variance explained variance total variance

Swifty produces 5-foot USB cables. During the past year, the company purchased 215,000 feet of plastic-coated wire at a price of $0.40 per foot. The direct materials standard for the cables allows 6 feet of wire at a standard price of $0.45 per foot. During the year, the company used a total of 245,000 feet of wire to produce 42,000 5-foot cables.Calculate Swifty’s direct materials quantity variance for the year. Direct material quantity variance   $        Is this favorable or not?