Jon has a roll containing 24 2/3 feet of wrapping papper. he wants to divide it into 11 pieces first though he must cut off 5/6 foot becuase it was torn. how long will each piece be ?

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?

Suppose you are choosing a 6-digit personal access code. this code is made up of 4 digits chosen from 1 to 9, followed by 2 letters chosen from a to z. any of these digits or letters can be repeated. find the total number of personal access codes that can be formed. 492,804 341,172 39,917,124 4,435,236

Ofof is a ? a. (1, 2), (1,-2), (3, 2), (3, 4) b. (1,6), (2, ,9), (0,5) c. (0, 2), (2,3), (0, -2), (4,1) d. (2, 4), (0, 2), (2, - 4), (5,3)