This table shows how much each type of meat costs at a local deli. Type of meat: ham, turkey, roast beef, salami, bologna Price per pound: $5.99, $4.99, $6.99, $2.99, $3.99. A customer purchased 1/4 pound of ham which is $5.99 per pound, 1 1/2 pounds of turkey whic is $4.99 per pound, 1 pound of roast beef $6.99 per pound, and 3/4 pound of bologna $3.99 per pound. Approximately what will the customer pay for the purcahse before sales tax?

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?