Question

The odometer readings on a random sample of identicle model sports cars are normally distributed with mean of 120000 miles and a standard deviation of 30000 miles. consider a group of 6000 and sport cars approximately how many sport cars will have less than 150000 miles on the odometer

Answer 1

5048

Step-by-step explanation:

Answer 2

We are given that random sample of identical model sports cars are normally distributed with mean of 120000 miles and standard deviation of 30000 miles.

`\mu=120000, \sigma = 30000`

We have to find approximately how many sports cars will have less than 150000 miles on the odometer.

We will first find the z-score for 150000.

`z=(x-\mu)/(\sigma)`

`=(150000-120000)/(30000)`

`=1`

Now using the standard normal table, we have:

`P(z<1) = 0.8413`

Now there will be approximately
`0.8413 * 6000=5047.8 \approx 5048` sport cars will have less than 150000 miles on the odometer.