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Karolina [17]
3 years ago
11

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 20 hours and the mean lifetime of a b

ulb is 580 hours. Find the probability of a bulb lasting for at most 606 hours. Round your answer to four decimal places
Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

Answer:

The probability of a bulb lasting for at most 606 hours is 0.9032

Step-by-step explanation:

The mean lifetime of a bulb is 580 hours.

\mu = 580 hours

The standard deviation of the lifetime is 20 hours

\sigma = 20 hours

We are supposed to find  the probability of a bulb lasting for at most 606 hours i.e. P(X\leq 606)

Formula :Z=\frac{x-\mu}{\sigma}

Z=\frac{606-580}{20}

Z=1.3

Refer the z table

P( X \leq 606)=0.9032

Hence the probability of a bulb lasting for at most 606 hours is 0.9032

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