A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 422422 gram setting. It is believed that the machine is underfilling the bags. A 1515 bag sample had a mean of 412412 grams with a variance of 484484. Assume the population is normally distributed. A level of significance of 0.10.1 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

Give all possible names for the line shown.calculation tip: lines can be written with either point first.

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?

Solve for x: 5/3 x = 20/21 it's fraction. remember to simplify your fraction