Select the correct Walter's family plays a quick game together every night after dinner. Walter draws names out of a hat to determine which kind of game to play. The family plays cards, board games, or video games. Walter draws names for three nights in a row. The probability that the family plays a different game on each of the three nights is . The probability that the family plays a video game two nights and cards one night is . The probability that the game played on the first night is played again on the third night is .

Wrote and expression for the difference of p and 4

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?

6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?