The proportion of defective electronic items in a shipment has the beta(2, 3) distribution.

a. what is the pdf of the distribution?

b. find the cdf of the distribution.

c. find the expected proportion of defective items.

d. find the probability that at least 20% of the items in the shipment are defective.

e. find the probability that the shipment has 10% to 25% defective items.

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

Asquare and an equilateral triangle have the same perimeter. each side the triangle is 4 inches longer than each side of the square. what is the perimeter of the square