# 6.10: Chapter Solution (Practice + Homework)

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1.

ounces of water in a bottle

3.

2

5.

–4

7.

–2

9.

The mean becomes zero.

11.

$$z = 2$$

13.

$$z = 2.78$$

15.

$$x = 20$$

17.

$$x = 6.5$$

19.

$$x = 1$$

21.

$$x = 1.97$$

23.

$$z = –1.67$$

25.

$$z \approx –0.33$$

27.

0.67, right

29.

3.14, left

31.

33.

35.

between –5 and –1

37.

39.

41.

The lifetime of a Sunshine CD player measured in years.

43.

$$P(x < 1)$$

45.

Yes, because they are the same in a continuous distribution: $$P(x = 1) = 0$$

47.

$$1 – P(x < 3)$$ or $$P(x > 3)$$

49.

$$1 – 0.543 = 0.457$$

51.

0.0013

53.

0.1186

55.

1. 57.

0.154

0.874

59.

0.693

60.

0.346

61.

0.110

62.

0.946

63.

0.071

64.

0.347

66.

c

68.

1. 70.
1. 72.

Let $$X =$$ an SAT math score and $$Y =$$ an ACT math score.

1. 75.

d

1. 79.
1. 81.
1. 83.
1. 85.
1. 88.

6.10: Chapter Solution (Practice + Homework) is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.