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11 February, 05:57

The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 1 year. What is the probability that a terminal will last 5 years or less?

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  1. 11 February, 07:26
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    The probability that a terminal will last 5 years or less is 0.8413

    Step-by-step explanation:

    Given:

    μ = 4 years

    σ = 1 year

    Z = (x-μ) : σ

    Z = (5-4) : 1 = 1

    The standard normal distribution table provides the probability that a normally distributed random variable Z, with mean equal to 0 and variance equal to 1, is less than or equal to z.

    For z = 1 ⇒ P (z≤1) = 0.8413
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