Written Assignment 3 - Gabriel A. Godart

Written Assignment 3 - Gabriel A. Godart - Principles of...

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Principles of Statistics 2010-04-STA-201-009OL Written Assignment 3 Gabriel A. Godart Thomas Edison State College. Exercises Set 4.1 Exercise 4.14 a. Let E = the event that the murder victim was between 40 and 44 years old, inclusive. f=1152 and N = 10810 P(E) = 1152/10810 = 0.106 b. Let E = the event that the murder victim was at least 25 years old. f=8000 P(E) = 8000/10810 = 0.74 c. Let E = the event that the murder victim was between 45 and 59 years old. f=1798 P(E) = 1798/10810 = 0.166 d. Let E = the event that the murder victim was under 30 years old or over 54 years old. f=5247 P(E) = 5247/10810 = 0.485 Exercise 4.20 a. Let E = the event that two of the three tosses come up heads.

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N=8 and f=4 So P(E) = 4/8 = 0.5 b. Let E = the event that the last two tosses come up heads. f=2 So P(E) = 2/8 = 0.25 c. Let E = the event that all three tosses come up the same. f=2 So P(E) = 2/8 = 0.25 d. Let E = the event that the second toss comes up heads. f=4 So P(E) = 4/8 = 0.5 Exercises Set 4.2 Exercise 4.36 A: HHHH, HTHH, THHH, TTHH, HHHT, HTHT, THHT, HHTH, HTTH, THTH, HHTT. B: TTHH, TTHT, TTTH, TTTT C: HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT D: HHHH, TTTT Exercise 4.46 a. (not D) is the event that the respondents would not contribute . There are 85 outcomes. b. (A&B) is the event that the respondents would contribute at least \$101 and not more than \$50. There are 85+116+29+5+7+3 = 245 outcomes. c. (C or A) is the event that the respondents would contribute between \$1 and \$200 or at least \$101. There are 116+59+29+5+7+3 = 219 outcomes. d. (B&D) is the event that the respondents would not contribute more than \$50 and at least \$1. There are 116 outcomes.
Exercises Set 4.3 Exercise 4.58 We have P(A) = 0.318, P(B) = 0.244, P(C) = 0.34 and P(D) = 0.098 a. The probability that the household obtained has an income under \$75000 is

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This note was uploaded on 05/10/2011 for the course STA 201 taught by Professor Kohn during the Spring '09 term at Thomas Edison State.

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Written Assignment 3 - Gabriel A. Godart - Principles of...

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