Trial Outcome 1 37482 2 78697 3 50330 4 62814 5 09748 6 27170 7 03359 8 86554 9 36208 10 58549 11 87923 12 85368 13 08743 14 00909 15 98365 16 55659 17 92182 18 41446 Loretta is rolling an unfair 6-sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls. Loretta sets up her simulation using a table of random digits between 0 and 9. She let 0-6 represent rolling a four and 7-9 represent not rolling a four. She selects five digits. She performs the simulation 18 times and records her results in the table. What is the probability that Loretta rolls a four on 3 of 5 rolls? A) 1 18 B) 1 6 C) 5 6 D) 17 18

Alawn mower manufacturer incurs a total of 34,816 in overhead costs and 388 per lawn mower in production costs. how many lawn mowers were manufactured if the average cost of productions is 660

What is the x-intercept and y-intercept of the equation 2x+1. 2o

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?