question archive Suppose a geyser has a mean time between eruptions of 77 minutes

Suppose a geyser has a mean time between eruptions of 77 minutes

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Suppose a geyser has a mean time between eruptions of 77 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes?, answer the following questions.

?(a) What is the probability that a randomly selected time interval between eruptions is longer than 86 ?minutes?

The probability that a randomly selected time interval is longer than 86 minutes is approximately______

 

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p(x > 86)=1 - z[(x -miu)/sigma]

p(x > 86) =1 - z[(86 - 77)/18]

= 1 - z(0.5)

From z score table,

=1 - 0.69146

p(x > 86) =0.30854