Suppose hard drive A has a lifetime that is exponentially distributed with mean of 7 years...
6. Suppose that the lifetime of an Ollivander's magic wand is exponentially distributed with a mean of 20 years. Luna Lovegood has had her wand for 25 years. What is the probability that it will last an additional 10 years?
The lifetime of a refrigerator (measured in years) is exponentially distributed with the expected lifetime equal to 17. What is the probability IN PERCENTAGES that the refrigerator will last more than 19?
suppose that iTime is actually exponentially distributed with a mean of 5 years. What is the probability that an iPad is functional for between 6 and 8 years? (correct to 4 decimal places).
Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 175 shafts, find the approximate probability that between 37 and 53 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 175 shafts, find the approximate probability that at least 49 are nonconforming and can be reworked. Problem #8: A system consists of five components...
The lifetime of a microprocessor is exponentially distributed with a variance of 4,000,000 hours. a. What proportion of microprocessors will function for less than 5,000 hours? b. A microprocessor has been functioning for 1,000 hours. What is the probability that it will function for a total of at least 6,000 hours?
A critical part of a machine has an exponentially distributed lifetime with parameter α. Suppose that n spare parts are initially at stock, and let N(t) be the number of spares left at time t. (a) Find P(N(s + t) = j | N(s) = i). (b) Find the transition probability matrix. (c) Find Pj (t). in Pj(t) j is in lower script
The lifetime of lightbulbs that are advertised to last for 6500 hours are normally distributed with a mean of 6700 hours and a standard deviation of 300 hours. What is the probability that a bulb lasts longer than the advertised figure? Probability =
The lifetime of a printer costing 200 is exponentially distributed with mean 2 years. The manufacturer agrees to pay a full refund to a buyer if the printer fails during the first year following its purchase, and a one-half refund if it fails during the second year. If the manufacturer sells 100 printers, how much should it expect to pay in refunds? A. 6,321 B. 7,358 C. 7,869 D. 10,256 E. 12,642
The lifetime of a cellphone is normally distributed with a mean of 18 months and a standard deviation of 2.8 months. What is the probability a cell phone lasts less than 10.88 months?
The lifetime of a type-A bulb is exponentially distributed with parameter λ. The lifetime of a type-B bulb is exponentially distributed with parameter μ, where μ>λ>0. You have a box full of lightbulbs of the same type, and you would like to know whether they are of type A or B. Assume an a priori probability of 1/4 that the box contains type-B lightbulbs. Assume that λ=3 and μ=4. Find the LMS estimate of T2, the lifetime of another lightbulb...