A factory manager collected data on the number of breakdowns per day. From these data, he derived the probability distribution for X, the number of breakdowns on a given day:

X 0 1 2
prob 0.80 0.15 0.05

1)The mean of X is (exact answer)

2)The standard deviation of X is (to three places after the decimal)

3)On average, how many breakdowns are there per day?

4)Assuming there are weekend shifts in the factory (work goes on every day), about how many breakdowns are expected during a one-year period. (non-leap year, and round to the nearest whole number).

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10