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22 December, 06:28

The life expectancy of a typical lightbulb is normally distributed with a mean of 4,000 hours and a standard deviation of 42 hours. What is the probability that a lightbulb will last between 3,875 and 4,055 hours?

a) 0.8835

b) 0.7825

c) 0.9133

d) 0.9035

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Answers (1)
  1. 22 December, 06:49
    0
    This is the concept of statistics, to solve the question we proceed as follows;

    We need to standardize our values;

    z (3,875) = (3,875-4000) / 42

    z (3,875) = - 2.9762

    z (4055) = (4055-4000) / 42=1.3095=1.3

    Therefore;

    p (3875
    =p (-3
    =0.9034

    The correct answer is D]
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