Assume that there is a 5% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is. (Round to four decimal places as needed.)

According to a recent research, 13% of people living in a city has experienced COVID-19 related symptoms in the past 1 year. We randomly pick 100 people from this city and use X to show the number of those who have experienced COVID-19 related symptoms in the past 1 year. Use this information and answer the following questions:  g. What is the probability that at most 90 people did not experience COVID-19 related symptoms in the past 1 year? h. What is the probability that exactly 88 people did not experience COVID-19 related symptoms in the past 1 year? A loaded die lands on each of its six sides with the following distribution.X 1 2 3 4 5 6Pr(X=x) 0.1 0.3 0.25 0.05 0.15 0.15 d.If we randomly throw the die, what is the probability that it will land on an even number?

The local weather forecaster predicts that there is a 12% chance of rain on each day next week. Assuming his prediction is accurate and that the chance of rain in a given day does not depend on the chance of rain in a different day, what is the probability it will rain on at least 4 of the days next week?

An airline has a policy of booking as many as 18 persons on an airplane that can seat only 17. past studies have revealed that only 81% of the booked passengers actually arrive for the flight.  find the probability that if the airline books 18 persons not enough seats will be available.