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vodka [1.7K]
3 years ago
13

The duration of a light bulb before it burns out follows an exponential distribution averaging 8 months. You are asked: 1) Calcu

late the probability that a randomly selected bulb has a life of between 3 and 12 months. 2) Calculate the probability that a light bulb, which has lasted more than 10 months, will last more than 25 months.
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0

Answer:

The bulb will last less than 800 hours is 0.550

Step-by-step explanation:

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Solve for x. x3 = 216
vampirchik [111]
I'm assuming the equation is x^3 = 216 or x^3 = 216 (both mean the same thing)

If so, then the solution to x^3 = 216 is x = 6

<span>We can find this by taking the cube root of both sides
</span>x^3 = 216
x = 216^(1/3) .... 1/3 power means cube root
x = 6

Checking the answer:
x^3 = 216
6^3 = 216
6*6*6 = 216
216 = 216
Answer is confirmed

So once again the answer is x = 6. This is assuming the initial assumption made at the top of the problem holds up.
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