Elizabeth brought a box of donuts to share. there are two-dozen (24) donuts in the box, all identical in size, shape, and color. three are jelly-filled, 6 are lemon-filled, and 15 are custard-filled. you randomly select one donut, eat
it, and select another donut. find the probability of selecting two jelly-filled donuts in a row.
u
(type an integer or a simplified fraction.)

Two sides of a triangle mesure 20cm and 30cm. what is the measure of the third side

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Zahra runs a 500-meter race at a constant speed. which graph shows her distance from the finish line during the race?