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22 January, 13:36

Add an intersection the red light times normally distributed by the mean of three minutes and a standard deviation of. 25 minutes approximately what percent of red lights last between 2.5 and 3.5 minutes

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  1. 22 January, 17:16
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    95% of red lights last between 2.5 and 3.5 minutes.

    Step-by-step explanation:

    In this case,

    The mean M is 3 and The standard deviation SD is given as 0.25

    Assume the bell shaped graph of normal distribution,

    The center of the graph is mean which is 3 minutes.

    We move one space to the right side of mean ⇒ M + SD

    ⇒ 3+0.25 = 3.25 minutes.

    Again we move one more space to the right of mean ⇒ M + 2SD

    ⇒ 3 + (0.25*2) = 3.5 minutes.

    Similarly,

    Move one space to the left side of mean ⇒ M - SD

    ⇒ 3-0.25 = 2.75 minutes.

    Again we move one more space to the left of mean ⇒ M - 2SD

    ⇒ 3 - (0.25*2) = 2.5 minutes.

    The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

    Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

    Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%
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