15 are 9, .8, and .7 for successfully completing the task in the allotted time.

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15

are 9, .8, and .7 for successfully completing the task in the allotted time. Assun s work independently, what is the probability that the task will not be completed in that the team time? An electronic chess game has a useful life that is exponential with a mean of 30 months. Deter mine each of the following The probability that any given unit will operate for at least (1) 39 months, (2) 48 months, (3) 60 months a. probability that any given unit will fail sooner than (1) 33 months, (2) 15 months, (3) 6 months The length of service time after which the percentage of failed units will approximately equa c. D 50 percent, (2) 85 percent, (3) 95 percent, (4) 99 percent A manufacturer of programmable calculators is attempting to determine a reasonable fre od for a model it will introduce shortly. The manager of product testing has indicated that the peri culators have an expected life of 30 months. Assume product life can be described by an expo- nential distribution If service contracts are offered for the expected life of the calculator, what percentage of those sold would be expected to fail during the service period? b. What se rvice period would result in a failure rate of approximately 10 percent? 4. Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of 20,000 hours. Determine the probability that one of these light bulbs will last a. At least 24,000 hours No longer than 4,000 hours c. Between 4,000 hours and 24,000 hours Planetary Communications, Inc., intends to launch a satellite that will enhance reception of televi sion programs in Alaska. According to its designers, the satellite will have an expected life of six years. Assume the exponential distribution applies. Determine the probability that it will function for each of the following time periods More than 9 years b. Less than 12 years c. More than 9 years but less than 12 years d. At least 21 years An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed wi a mean of 41 months and a standard deviation of 4 months. On the basis of this information, det mine the percentage of scanners that can be expected to fail in the following time periods: a. Before 38 months of service b. 16. Between 40 and 45 months of service thin +2 months of the mean life , w

Explanation / Answer

e^(-1.5)-e^(-2) = more than 9 years but less than 12 years

Please leave a comment if further explanation is needed.

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