Suppose that weekly income of migrant workers doing agricultural labor in Florida has a distribution with a mean of $520 and a standard deviation of $90. A researcher randomly selected a sample of 100 migrant workers. What is the probability that sample mean is less than $510

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

Step-by-step explanation:

For this problem we have the following parameters:

We select a sample size of n =100 and we want to find this probability:

The distribution for the sample mean using the central limit theorem would be given by:

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

And if we find the z score formula we got:

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

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step-by-step explanation: vsfdvsfvd

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: