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.

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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step-by-step explanation: