3. Determine whether the data show a linear relationship by plotting the points and drawing the line. If so, write an equation of a line of fit. Estimate y when x = 15 and explain its meaning in context.
Months,
2 6 12 16 20
Hair length,
7.2 13.1 22.3 29.5 36
no
b. yes: y = 4x+1.6: y =61.6: After 15 months, the hair length will be 61.6 inches.
c. yes: y=-1.6x +4: y = 28: After 15 months, the hair length will be 28 inches.
d. yes: y = 1.67 +4; y = 28: After 15 months, the hair length will be 28 inches

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?