FOR MORE CLASSES VISIT tutorialoutletdotcom PRINTABLE VERSION Quiz 9 Question 1 An experiment consists of selecting a letter at random from the letters in the word MISSISSIPPI and observing the outcomes. What is the appropriate sample space for this experiment? a) { M, S, S, I, P } b) { I, M, P, S } c) { I, S, P } d) { M, I, S, I, P } e) { M, I, S, P, P } f) None of the above.

1. MATH 1313 PRINTABLE VERSION Quiz 9
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PRINTABLE VERSION
Quiz 9
Question 1
An experiment consists of selecting a letter at random from the letters in
the word MISSISSIPPI and
observing the outcomes. What is the appropriate sample space for this
experiment?
a) { M, S, S, I, P } b) { I, M, P, S } c) { I, S, P } d) { M, I, S, I, P } e)
{ M, I, S, P, P } f) None of the above. Question 2
Let S = {5, 6, 7, 8, 9, 10, 11} be a sample of an experiment and let X =
{5, 8, 11}, Y = {6, 7, 9}, and Z
= {5, 7, 9} be events. Which of the following statements is correct?
a) X and Y are mutually exclusive events. b) Z and Y are mutually
exclusive events. c) X and Z are mutually exclusive events. d) X and S
are mutually exclusive events. e) X, Y, and Z are mutually exclusive
events. f) None of the above. Question 3
Let S be any sample space, and E, F and G be any three events. Describe
the event that E and F occur,
and G does not occur.
a) ( E ∪ Fc ) ∩ G b) (E∪F)∩G c) ( E ∪ F ) ∩ Gc d) ( E ∩ F ) ∪ Gc e) E
∩ F ∩ Gc f) None of the above. Question 4
According to data obtained from the National Weather Service 192 of
the 382 people killed by lightning

2. were men. Assume that this trend holds for the future. What is the
probability that a person killed by
lightning is a woman?
a) 0.0026 b) 0.0052 c) 0.3345 d) 0.6655 e) 0.4974 f) None of the above.
Question 5
If 1 card is drawn at random from a standard 52-card deck, what is the
probability that the card drawn is a
red card?
a) 0.8333 b) 0.6250 c) 0.6667 d) 0.7500 e) 0.5000 f) None of the above.
Question 6 An experiment with outcomes A, B, C, D, E, and F is
described by the following table:
Outcome A B C D E F Probability 1⁄
100 1⁄
50 9⁄
100 9⁄
100 3⁄
5 19⁄
100 Let n = { A, B }, and m = { C, E, F }. Determine P(n).
a) 0.50 b) 0.38 c) 0.01 d) 0.48 e) 0.03 f) None of the above. Question 7
The following table shows the frequency of outcomes when two
distinquishable coins were tossed 4,000
times. What is the estimated probability that heads comes up at least
once? a) 0.7488 b) 0.4988 c) 0.2525 d) 0.2475 e) 0.0025 f) None of the
above. Question 8 Outcomes HH HT TH TT Frequency 995 1,010 990
1,005 Three horses, call them A, B, and C, are going to race against each
other. The probability that A will win
the race is 1⁄3 and the probability that B will win the race is 1⁄4 . What is
the probability that C will win
the race?
a) 0.5833 b) 0.7500 c) 0.0833 d) 0.6667 e) 0.4167 f) None of the above.
Question 9
A person playing a certain lottery can win $100, $10, $1, can break
even, or can lose $10. These five
outcomes with their corresponding probabilities are given by the
probability distribution in the following

3. table:
Winnings (outcome) $100 (A) $10 (B) $1 (C) $0 (D) -$10 (E)
Probability 3⁄
100 2⁄
25 3⁄
10 9⁄
100 1⁄
2 What is the probability that the person will win some money?
a) 0.47 b) 0.41 c) 0.30 d) 0.42 e) 0.50 f) None of the above. Question 10
Four students are running for class president: Liz, Sam, Sue, and Tom.
The probabilities of Sam, Sue,
and Tom winning are 1⁄4 , 1⁄10 and 3⁄20 , respectively. What is the
probability that Tom loses? a) 0.15 b) 1 c) 0.75 d) 0.20 e) 0.85 f) None
of the above.
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