7.1

31.

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

Interpretation 1. Type answer here. 15.87 % of monthly charges for phone plans have an bill of less than $44.

Interpretation 2. Type answer here. 68.26 % of the monthly charges for phone plans fall between $44 and $80.

32.

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

Interpretation 1. Type answer here. A refrigerator lasts more than 17 years 11.51 % of the time

Interpretation 2. Type answer here. The probability that the life of a randomly chosen refrigerator lasts more than 17 years is 0.1151.

33.

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

Interpretation 1. Type answer here. 2.28 % of full term babies have a birth weight of more than 4410 grams.

Interpretation 2.Type answer here. The probability that the birth weight of a randomly chosen baby is more than 4410 grams is 0.0228.

34.

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

Interpretation 1. Type answer here. 4.96 % of 10 year olds males have a height of 46.5.

Interpretation 2. Type answer here. –The probability that the height of a randomly selected male is less than 46.5 is 0.0496.

35.

Interpretation 1. Type answer here. 0.1908 is the proportion of human pregnancies that last more than 280 days.

Interpretation 2. Type answer here. The probability that a randomly selected pregnancy lasts more than 28 days is 0.1908.

Interpretation 1.Type answer here. The proportion of human pregnancies that last between 230 and 260 days is 0.3416.

Interpretation 2. Type answer here. The probability that a randomly selected human pregnancy lasts between 230 and 260 days is 0.3416.

36.

Interpretation 1. Type answer here. The proportion of times a gas tank has more than 26 miles per gallon is 0.3309.

Interpretation 2. Type answer here. The probability that a randomly selected time the pick up truck was filled with more than 26 miles per gallon is 0.3309

Interpretation 1. Type answer here. The proportion of times a gas tank has between 18 and 21 miles per gallon is 0.1107.

Interpretation 2. Type answer here. The probability that a randomly selected time the pick up truck was filled with between 18-21 miles per gallon is 0.1107.

7.2

5.

  1. Type answer here. 0.0071
  2. Type answer here. 0.3336
  3. Type answer here. 0.9115
  4. Type answer here. 0.9998

7.

  1. Type answer here. 0.9987
  2. Type answer here. 0.9441
  3. Type answer here. 0.0375
  4. Type answer here. 0.0009

9.

  1. Type answer here. 0.9586
  2. Type answer here. 0.2088
  3. Type answer here. 0.8479

11.

  1. Type answer here. 0.0455
  2. Type answer here. 0.0646
  3. Type answer here. 0.8479

13. Type answer here. z= -1.28

15. Type answer here. z = 0.67

17. Type answer here. z1= 2.576 z2= 2.576

33. Type answer here. x =40.61 at the 9th percentile

35. Type answer here. x = 56.15 at the 81st percentile

37.

shadenorm(mu = 21, sig = 1.0, below = -1000, col = "blue", dens=200)

  1. Type answer here. P (x <20) = 0.1587, 16 eggs would incubate in less than 20 days if 100 are randomly chosen
  2. Type answer here. P (X >2) =0.1587, 16 eggs would incubate in more than 22 days if 100 are randomly chosen
  3. Type answer here. P (19 < X <21) =0.4772, 48 eggs would incubate in between 19 and 21 days if 100 are randomly chosen
  4. Type answer here. P (x <18) = 0.0013, so yes, the model suggests about one egg in 1000 will incubate

39.

  1. Type answer here. P (1000 < X < 1400 = 0.8657

  2. Type answer here. P (X < 1000) = 0.0132

  3. Type answer here. 0.7004 of the bags have more than 1200 chocolate chips

  4. Type answer here. 0.1228 of the bags have fewer than 1125 chocolate chips

  5. Type answer here. A bag that contains 1475 chocolate chips is at the 96th percentile

  6. Type answer here. A bag that contains 1050 chocolate chips is at the 4th percentile

41.

  1. Type answer here. 0.4013 of pregnancies last more than 270 days
  2. Type answer here. 0.1587 of pregnancies last fewer than 250 days
  3. Type answer here. 0.7590 pregnancies last between 240 and 280 days
  4. Type answer here. P (X > 280) = 0.1908

  5. Type answer here. P (X < 245) =0.0947

  6. Type answer here. 0.0043 of births are very preterm

43.

  1. Type answer here. 0.0764 of the roeds have a length of less than 24.9 cm

  2. Type answer here. 0.0324 of the rods will be discarded

  3. Type answer here. The plant manager should expect to discard 162 of the 5000 rods manufactured

  4. Type answer here. To meet the order, the plant manger should manufacture 11804 rods