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.
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.