Carbon monoxide emissions for a certain kind of car vary wit

Carbon monoxide emissions for a certain kind of car vary with mean 3.166 g/mi and standard deviation 0.6 g/mi. A company has 80 of these cars in its fleet. Let y represent the mean CO level for the company\'s fleet.

a) Whats the appx model for the distribution of y? Explain.

b) Estimate the probability that y is between 3.3 and 3.4 g/mi

c) There is only a 5% chance that the fleet\'s mean Co lvel is greater than what value?

1. Select the correct choice beow and, if necessary, fill in the answer blanks within your choice

a) A Poisson model with _____ mean number of successes

b) A normal mode with mean ___ and standard deviation ___

c) A Binomial model with ____ trials and a probability of success of ____

d) There is no model that fits this distribution

2. P(3.3<y<3.4)= ____

3. P(y>___)=0.05

Solution

a) A normal mode with mean 3.166___ and standard deviation __0.6_

b) P(3.3<x<3.4) = P(0.028<z<0.039)=0.0120 -0.0119 = 0.0001

c) P(X>x) = 0.05 means z = 1.64

hence x = 3.66+1.64(0.6) = 3.66+9.84

= 13.50