(b) Given that a tire is eligible for free replacement, what is the probability that tire will last more than 28,000 miles ? (c) Assume that we select 10 tires randomly from the new steelbelted radial tires developed by the company. What is the probability of observing at least 1 tire eligible for free replacement ? {(1) Assume that the company inspects the cars with the new radial tires. How many inspections will result in no free replacements before one found that needs free replacement? (e) Assume that company wants to change their gurantee policy so that probability of free replacement is no more than 0.035. How should they change the policy in (a) '3 {4) Suppose that number of visits to an international travel website can described by a Poisson model (process) with a rate of 5 per minute during the business hours. {a} What is the probability that there will be more than 85 visits to the website during 9:00 am 9:20 am period 'E' What is the expected number of visits during 1:30 pm2:00 pm '? {b} What is the expected time between two visits to the site 7 What is the probability that the time between two visits to the site is less than 30 seconds '? (c) What is the joint probability of having more than 70 visits to the site between 1:00 pm1:15 pm and less than 90 visits between 2:00 pm2:20 pm T (d) What is the expected time until the fourth visit to the site any time during business hours '3