Parker has a part-time job picking apples. let the random variable a represent the number of baskets of apples picked each day. the distribution of a has mean 4.5 baskets and standard deviation 1.3 baskets. parker is paid $65 per day plus $5 per basket. what are the mean μ and standard deviation σ of parker’s daily pay?

a=μ=$87.50 and σ=$71.50

b=μ=$87.50 and σ=$6.50

c=μ=$22.50 and σ=$6.50

d=μ=$87.50 and σ=$1.30

e=μ=$22.50 and σ=$71.50

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

How do i multiply two digit numbers

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?