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

Answer:

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.

$z=\frac{x-\mu}{\sigma}$

    $=\frac{150000-120000}{30000}$

    $=1$

Now using the standard normal table, we have:

$P(z$

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