Suppose that the life-time of a certain printer follows an exponential distribution with mean 2 years. The manufacture of this printer offers 100% refund if the printer fails during the first year and 50% if it fails during the second year and none afterward. a. Evaluate the probability of full refund. A. 0.05 B. 0.24 C. 0.39 D. 0.47 E. 0.52 b. Assume that each printer costs $100.00. Determine the expected refund for each sold printer. A. 46 B. 51 C. 54 D. 61 E. 66

For each probability and percentile problem, draw the picture.The time (in years) after reaching age 60 that it takes an individual to retire is approximately exponentially distributed with a mean of about 6 years. Suppose we randomly pick one retired individual. We are interested in the time after age 60 to retirement. In a room of 1,000 people over age 79, how many do you expect will NOT have retired yet? (Round your answer to the nearest whole number.) people

The figure below shows survival probabilities from all-cause mortality over 20 years in participants over 50 years of age who have normal glucose, glucose intolerance, and Type II diabetes mellitus. Estimate the 5-year survival probability for Type II diabetes. a.  approximately 10% b.  approximately 60% c.  approximately 76% d.  approximately 84%

In major league baseball, a no hitter is a game in which a pitcher, or pitchers, doesn't give up any hits throughout the game. No hitters occur at a rate of about three per season. Assume that the duration of time between no hitters is exponential.  a. what is the probability that an entire season elapses with a single no-hitter?  b. If an entire season elapses without any no hitters, what is the probabilty that there are no no hitters in the following season?  c. What is the probabilty that there are more than 3 no hitters in a single season?

Here is civilian unemployment cate 1982-1995 Civilian Unemployment Cate 1982-1995 year 1982 1986 1988 1990 1992 । ११५ Rode 9.7 7.0 5.4 5.5 7.4 6.1 yeRr 1984 1987 198% 1991 1993 1995 Rode 7.5 6.2 5.3 6.7 6.8 5.6 Make deta. dime plot o the

K Suppose a basketball player is an excellent free throw shooter and makes 92% of his free throws (i.e., he has a 92% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player gets to shoot three free throws. Find the probability that he misses all three consecutive free throws. Round to four decimal places. OA. 0.2213 OB. 0.9995 OC. 0.0005 OD. 0.7787

In a certain​ city, projections for the next year indicate there is a​ 20% chance that electronics jobs will increase by 1300​, a​ 50% chance that they will increase by 400​, and a​ 30% chance they will decrease by 900. Find the expected change in the number of electronics jobs in that city in the next year. The expected change is an increase of __________ jobs.

Show work for every step. Two types of customers (Preferred and Regular) call a service center. Preferred customers call with rate 3 per hour, and Regular customers call with rate 5 per hour. The interarrival times of the calls for each customer type are exponentially distributed. If the call center opens at 8:00 AM, what is the probability that the first call (regardless of customers type who calls) is received before 8:15 AM?

10 The observed insurance policy deviates from the predicted policy, on average, by _______ ($1,000) a 44.465                 b 49.406                 c 54.895                 d 60.994

Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $12. If you roll a 3, 4 or 5, you win $5. Otherwise, you pay $6.a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate.  X P(X)             b. Find the expected profit. $ (Round to the nearest cent)c. Interpret the expected value. This is the most likely amount of money you will win. You will win this much if you play a game. If you play many games you will likely win on average very close to $2.50 per game. d. Based on the expected value, should you play this game? Yes, since the expected value is 0, you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. No, this is a gambling game and it is always a bad idea to gamble. Yes, since the expected value is positive, you would be very likely to come home with more…