Solve for x: −1 < x + 3 < 5 2 < x < 8
−4 < x < 2
2 > x > 8
−4 > x > 2

Create a data set with 8 points in it that has a mean of approximately 10 and a standard deviation of approximately 1.

My hour hand points between the 8 and the 9 in 35 minutes it will be the next hour. what time is it ?

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?