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6 June, 00:18

The weights of steers in a herd are distributed normally. the variance is 40,000 and the mean steer weight is 800lbs. find the probability that the weight of a randomly selected steer is between 917 and 980lbs. round your answer to four decimal places.

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  1. 6 June, 00:20
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    0.0952 or 9.52%.

    Step-by-step explanation:

    The standard deviation = √ (40,000) = 200.

    Z-scores are 917 - 800 / 200 = 0.585 and

    980 - 800 / 200 = 0.90 ...

    From the tables the required probability =

    0.81594 - 0.72072

    = 0.09522 (answer).
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