A livestock company reports that the mean weight of a group of young steers is 1154 pounds with a standard deviation of 81 pounds. Based on the model ​N(1154​,81​) for the weights of​ steers, what percent of steers weigh ​a) over 950 ​pounds?

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A livestock company reports that the mean weight of a group of young steers is
1154
pounds with a standard deviation of
81
pounds. Based on the model
​N(1154​,81​)
for the weights of​ steers, what percent of steers weigh
​a) over
950
​pounds?
Expert Solution
Step 1

The Z-score of a random variable X is defined as follows:

Z = (Xµ)/σ.

Here, µ and σ are the mean and standard deviation of X, respectively.

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