The breaking strength of yarn used in the manufacture of woven carpet material is normally distributed with σ = 2.4 psi. a random sample of 16 specimens of yarn from a production run was measured for breaking strength, and based on the mean of the sample (x bar), a confidence interval was found to be (128.7, 131.3). what is the confidence level, c, of this interval? show work and explaina. 0.95b. 0.99c. 0.90d. 0.97e. it can not be determined with the info provided

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?