The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1400lbs. Find the probability that the weight of a randomly selected steer is between 1539 and 1580lbs. Round your answer to four decimal places.

And we can find this probability using the normal standard table with this difference:

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

Where and

We are interested on this probability

And we can solve the problem using the z score formula given by:

Using this formula we got:

And we can find this probability using the normal standard table with this difference:

18a

step-by-step explanation:

simply because it is. it's the highest common factor