1, A Washington D.C. magazine (Vol 10.42.42) asked K-Street lobbyists about their yearly income. The magazine found the average yearly income for lobbyists with 4 years of experience was $127,000 dollars. The population standard deviation was $42,000.

i) If you choose a single random income, what is the probability that the income is between $115,107 and $119,071? (Round to 4 decimal places.)

ii) If you take a random sample of size n=55, what is the probability the sample has an average income between $115,107 and $119,071? (Round to 4 decimal places.)

You can solve these either by hand using the Standard Normal Table or using StatCrunch. Your write-up should follow all guidelines for writing up problems given in the course so far. Be sure to document how you got your probability.

2, At a lawn chair company (Licence 732a943) in Nashville, it takes an average of 2 total hours to manufacture one chair. If the standard deviation is 0.5 hours, what is the probability it will take between 3.1 and 3.2 hours to manufacture a chair? Keepfour decimal placesin your answer.

Do not use StatCrunch.Solve this problem by hand and use the Standard Normal Tables, showing all steps. Use the correct formulas and notation developed and discussed in the reading and as practiced in your Handwritten Homework Questions.

3, The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33 liters, and standard deviation of 9.3 liters.

A) What is the probability that daily production islessthan 18.6 liters? Use technology (not tables) to get your probability.

Answer=(Round your answer to 4 decimal places.)

B) What is the probability that daily production ismorethan 22.5 liters? Use technology (not tables) to get your probability.

Answer=(Round your answer to 4 decimal places.)

Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.