a magazine asked dyam Inc graduates what their ideal income would be. The responses showed the mean ideal income was $150,000, with a population standard deviation of $38,000.

1.Define the variables you will use in your answer.

Suppose you choose a single random income, and you compute the probability that the income is between $147,451 and $158,922. 2. the result using proper probabiity notation and write in complete sentences to define your result in context. round to four decimal places and show your calculations Now suppose you take a random sample of size n=80, and you compute the probability the sample has an average income between $147,451 and $158,922. 3. the result using proper probability notation and THEN write a complete sentence that describes your result in contect.round to four decimal places and show your calculations.