During an eight-hour shift, the proportion of timey that a sheet-metal stamping machine is down for maintenance or repairs has a beta distribution with α = 1 and β = 2. that is

2(1−y) , 0 ≤ y ≤ 1,

f(y)

0, elsewhere.

the cost (in hundreds of dollars) of this downtime, due to lost production and cost of maintenance and repair, is given by c = 10 + 20y + 4y^2. find the mean and variance of c.

Which is the solution to the inequality? 2 3/52 1/15 b< 3 2/15 b> 3 2/15

Which of the following graphs could represent a quartic function?

Let us imagine that the number of automobile accidents in a certain region are related to the regional number of registered automobiles in tens of thousands (b1), alcoholic beverage sales in $10,000 (b2), and decrease in the price of gasoline in cents (b3). furthermore, imagine that the regression formula has been calculated as: y = a + b1x1 + b2x2 + b3x3 where y = the number of automobile accidents, a = 7.5, b1 = 3.5, b2 = 4.5, and b3 = 2.5 calculate the expected number of automobile accidents for a football weekend if the region has 25,000 registered vehicles, $75,000 worth of beer is sold, and a gas war causes a 10 cent drop in a gallon of gas.