A lamp has two bulbs, each of a type with an average lifetime of 4 hours. The probability density function for the lifetime of a bulb is.
What is the probability that both of the bulbs will fail within 4 hours?
i took the douple integral of this function with bounds from 0 to 4 and got the answer 1 which isn't right where did i go wrong?
Are the lifetimes of each bulb independent of each other? If so:Originally Posted by koalamath
A lamp has two bulbs, each of a type with an average lifetime of 4 hours. The probability density function for the lifetime of a bulb is
What is the probability that both of the bulbs will fail within 4 hours?
i took the douple integral of this function with bounds from 0 to 4 and got the answer 1 which isn't right where did i go wrong?
.
Therefore the probability of both bulbs failing within 4 hours is \cdot \left(1 - \frac{1}{e}\right) = .....)
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