# Binomial & Normal Probabilities

Please provide step by step solution.

Instructions: Solve the following problems keep the guidelines below in check.

If you are calculating something using a table, the number of decimal places from the table is expected. like z=1.00, table value is .8413 (2 decimal places for z, 4 for the probability)

REGARDING NUMBER OF DECIMAL PLACES:

IF AN ANSWER CALLS FOR 4 DECIMAL PLACES (FOR EXAMPLE), CALCULATE TO 5 DECIMAL PLACES AND ROUND TO 4.

4. Solve the problem: According to police sources a car with a certain protection system will be recovered 93% of the time. Find the probability that 5 of 8 stolen cars will be recovered.

5. Solve the problem: A tire company finds the life span for one brand of its tires is normally distributed with a mean of 48,800 miles and a standard deviation of 5000 miles. If the manufacturer is willing to replace around 10% of the tires as unsatisfactory performers, what should be the approximate number of miles for a warranty?

6.. Solve the problem:

The scores on a mathematics exam have a mean of 79 and a standard deviation of 8. Find the x-value that corresponds to the z-score -2.33.

https://brainmass.com/statistics/probability/binomial-normal-probabilities-interpretations-362861

#### Solution Summary

The solution provides step by step method for the calculation of binomial and normal probabilities. Formula for the calculation and Interpretations of the results are also included.