A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centimeters and variance 9. Calculate the probability that a component is at least 12 centimeters long. Round your answer to four decimal places.\

And we can find this probability with the complement rule and with the normal standard table we got:

Step-by-step explanation:

Let X the random variable that represent the components whose lenghts 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 use the z score given by:

Using this formula we got:

And we can find this probability with the complement rule and with the normal standard table we got:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.