title: “HW5 author: Rachel Duncan date:”February 29, 2016" output: html_document —

7.1

31.

shadenorm(mu = 62, sig = 18, below = 44, col = "blue", dens = 200)

Interpretation 1. 15.78 % of cell phone plans in the US cost less then $44 per month

Interpretation 2. The probability of selecting a cell phone plan that cost less thsn $44 is .1578

32.

shadenorm(mu = 14, sig = 2.5, above = 17, col = "blue", dens = 200)

Interpretation 1. The probability that a fridge is 17 years or older is 11.51%

Interpretation 2. 11.51% of refrigerators are more that 17 years old

33.

shadenorm(mu = 3400, sig = 505, above = 4410, col = "blue", dens=200)

Interpretation 1. 2.28 % of babies weigh more than 4410 grams

Interpretation 2.The probability of a baby weighing more than 4410 is .0228

34.

shadenorm(mu = 55.9, sig = 5.7, below = 46.5, col = "blue", dens=200)

Interpretation 1. 4.96% of 10 year old males are less than 46.5 inches

Interpretation 2. the probability of a 10 year old being less than 46.5 inches is .0496

35.

Interpretation 1. 19.08% of of pregnancies last longer than 280 days.

Interpretation 2. The probability of randomly selecting a pregnancy that lasted longer than 280 days is .1908

Interpretation 1. 34.16% of of pregnancies last between 230 and 266 days.

Interpretation 2. The probability of randomly selecting a pregnancy that lasted between 230 and 266 days is .3416.

36.

Interpretation 1. 33.09% of the time, Elena gets more than 26 mpg

Interpretation 2. the probability of a randomly selected test that resulted in Elena getting more than 26 mpg is /3309

Interpretation 1. The probability of selecting a fill-up where Elena got between 18 and 21 mpg in one tank of gas is .1107

Interpretation 2. The proportion of times Elena gets between 18 and 21 is .1107.

7.2

5.

1. .0071
2. .3336
3. .9115
4. .9998

7.

1. .9987
2. .9441
3. .0375
4. .0009

9.

1. .9586
2. .2088
3. .8479

11.

1. .0456
2. .0646
3. .5230

13. -2.28

15. .67

17. -2.575,2.575

33. 40.62

35. 56.16

37.

1. .1587
2. .1587
3. .4472
4. Yes, theres a less than 1% chance

39.

1. .8658
2. .0132
3. .7019
4. .1230
5. 96th percentile
6. 4th percentile

41.

1. .4013
2. .1587
3. .7590
4. .1894
5. .0951
6. Yes, its probability is .43%

43.

1. .0764
2. .0124
3. 162
4. 11,804

45.

1. .3228
2. .4286
3. Yes

47.

1. 20 days
2. between 19 and 23 days

56. SAT because on the SAT i was in the 85th percentile and on the ACT i was in the 83rd.