Question

The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 1200lbs. Find the probability that the weight of a randomly selected steer is greater than 1479lbs. Round your answer to four decimal places.

Answer 1

Solution:

Let X be a random variable which represents the weights of steers in a herd.

Given that, X ~ N(1200, 200²)

i.e.  μ = 1200 lbs and σ = 200 lbs

We have to obtain P(X > 1479 lbs).

We know that if X ~ N(μ ,σ^{​​​​​​2}) then

Using "pnorm" function of R we get, P(Z > 1.395) = 0.0815

Hence, the probability that the weight of a randomly selected steer is greater than 1479 lbs is 0.0815.

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