chapter 16_ 27,35,37,39,43

Problem 27

  1. 0.8Y

240, 12.8

  1. 2X-100

140, 24

  1. X+2Y

720, Sqrt(1168)

  1. 3X-Y

60, swrt(1552)

  1. Y1+Y2

600, sqrt(512)

Problem 35

  1. usually they will gain 150, but sometimes they will los thosands on a single person

  2. mean = 300 standard deviation = 8485

  3. mean = 1.5 million stnadard deviation = 600,000

  4. yes, becuase the proabilty the company will lose money is very small

  5. each accident is independent of each other

Problem 37

  1. an ouncce

  2. half an ounce

  3. the probablity a smaller bowl has more ceral is 0.023

  4. Mean is 4 ounces while standard deviation is half an ounce

  5. there is a 16% chance that i poured more than 4.5 ouncs

  6. the mean in this case would be 12.4 ounces while the stanard deviation would be 0.5 oucnes

Problem 39

  1. We would expect there to be 12.2 ounces lefts

  2. We could expect a standard deviation of 0.5

  3. the probality is small: around 0.06

Problem 43

  1. the random variables are the price per poung of apples (PriceA) and the price for a pount fo potatoes (PriceP)

Total new income = 100(PriceA)+50(priceP)-2

  1. mean = 63$

  2. standard deivaiton =20.6 dolllars

  3. we must assume for sanard deviation that the sale prices are indenpendent events.