Find probability density function for the lifetime of a bulb

Reference no: EM13203316

A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb is f(t) =(1/6) e^{-t/6}, t is less than 0. What is the probability that both of the bulbs will fail within 4 hours?

Reference no: EM13203316

Questions Cloud

How far from tower a is the fire and how far from tower b : a ranger in tower b, located 60 miles at a direction of 46 degress drom tower a, spots the fire at a direction of 283 degrees. how far from tower a is the fire? how far from tower b

Find the volume of water in the pool : A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..

How foreign prices affect domestic prices : The theory of purchasing-power parity primarily explains 1. why a change in the real exchange rate changes a country's net exports. 2. why trade deficits tend to move to zero over time. 3. how foreign prices affect domestic prices. 4. the determinati..

Estimate the population in 1970 using the midpoint formula : The population of the US was 151 millions in 1950 and 179 millions in 1960. Estimate the population in 1970 using the midpoint formula.

Find probability density function for the lifetime of a bulb : The probability density function for the lifetime of a bulb is f(t) =(1/6) e^{-t/6}, t is less than 0. What is the probability that both of the bulbs will fail within 4 hours?

Find the rate at which the water is draining from the tank : Find the rate at which the water is draining from the tank after 5 minutes, 12 minutes, and 20 minutes.

What should the demensions of the pasture be to minimize : What should the demensions of the pasture be to minimize total fencing cost and what is that optimal cost?

At what time does splashdown occur : NASA launches a rocket at seconds. Its height, in meters above sea-level, as a function of time is given by .

Determine the flow rates in and out of the pipes : It takes 5 hours to fill an empty tank when both outlet pipes are open. When one outlet pipe is closed, it takes 3 hours to fill the tank. Find the flow rates (in gallons per hour) in and out of the pipes.

User Account

All Pages