Normal Distribution Calculator

http://onlinestatbook.com/2/calculators/normal_dist.html

Inverse Normal Caculator

http://onlinestatbook.com/2/calculators/inverse_normal_dist.html

Suppose a company makes a car batteries and has found that the lifetime of the batteries they produce is normally distributed with a mean of 3.8 years and standard deviation of 0.4 years. Using this model, answer the questions in part a-d

A. Sketch and clearly label this normal model by hand based on the 68-95-99.7 Rule. Be sure to label your axis with what your variable represents.

B. Based on this model, what percentage of batteries will have a lifetime between 4 years and 5 years? (To show your work: Write down which calculator your are using and what values you are entering into the calculator.)

C. Based on this model, what is the probability of randomly selecting one battery that would have a life time of 3 years or less? (To show your work: Write down which calculator you are using and what values you are entering into the calculator)

D. Given your Part C answer, does getting a battery that has lifetime of 3 years or less seem like a likely event or does it seem like a likely event or does it seem like a rare event? Briefly explain

E. Fill in the Blanks: The highest 5% of batteries will have a lifetime_________ years of greater based on this model. (To show your work: Write down which calculator you are using and what values you are entering into the calculator)