An operator of chocolate-packaging machine monitors the net weights of the packaged boxes by periodically weighing random samples of boxes. one condition required for the proper operation of the machine is that the mean is 453 grams. the operator wishes to see if a random sample of 50 boxes gives evidence that the mean is different than 453 grams. what are the null and alternative hypotheses?

41/2 - 1 1/3 what is the answer as a fraction?

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?

If the perimeter of the garden is 37 ft. the width is x and the length is 15 ft. what is the width of the garden in feet?