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Quiz 2 Practice - Introduction To Statistics | MATH 1121, Quizzes of Statistics

Material Type: Quiz; Class: Introduction To Statistics; Subject: Mathematics; University: East Georgia College; Term: Fall 2004;

Typology: Quizzes

Pre 2010

Uploaded on 08/04/2009

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Math 1121 Quiz 2 Practice Name __________________________
1. Answer each question and give a brief explanation for each answer.
(a) If P(A) = 0.48, what is the value of P(not A)?
(b) If P(not A) = 0.75, what is the value of P(A)?
(c) Is it possible that P(A) = 17/3?
(d) Is it possible that P(A) = 3/17?
(e) Does P(A) + P(not A) always equal 1?
2. The probability of drawing a red ball from an urn is 5
23
. What is the probability that a red ball will
not be drawn from the urn?
3. The student Executive Cabinet consists of six members including Sarah and Michael. A reporter for
the student newspaper wants to contact any member of the cabinet and calls one at random.
(a) What is the probability that Sarah is called?
(b) What is the probability that Michael or Sarah is called?
(c) What is the probability that neither Michael nor Sarah is called?
4. An urn contains 8 balls identical in every respect except color. There are 4 blue balls, 3 red ones and 1
white one.
(a) If you draw one ball from the urn what is the probability that it is blue or white?
(b) If you draw two balls without replacing the first one, what is the probability that the first is red and
the second is white?
(c) If you draw two balls without replacing the first one, what is the probability that one ball is red and
the other is white?
5. A single six person jury must be selected from a pool of 15 jurors.
(a) How many ways can a group of six people be selected if they are not seated in any particular order?
(b) How many different groups of six people can be selected if the seating arrangement (in a row)
matters?
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Math 1121 Quiz 2 Practice Name __________________________

  1. Answer each question and give a brief explanation for each answer. (a) If P ( A ) = 0.48, what is the value of P ( not A )? (b) If P ( not A ) = 0.75, what is the value of P ( A )? (c) Is it possible that P ( A ) = 17/3? (d) Is it possible that P ( A ) = 3/17? (e) Does P ( A ) + P ( not A ) always equal 1?
  2. The probability of drawing a red ball from an urn is

. What is the probability that a red ball will

not be drawn from the urn?

  1. The student Executive Cabinet consists of six members including Sarah and Michael. A reporter for the student newspaper wants to contact any member of the cabinet and calls one at random. (a) What is the probability that Sarah is called? (b) What is the probability that Michael or Sarah is called? (c) What is the probability that neither Michael nor Sarah is called?
  2. An urn contains 8 balls identical in every respect except color. There are 4 blue balls, 3 red ones and 1 white one. (a) If you draw one ball from the urn what is the probability that it is blue or white? (b) If you draw two balls without replacing the first one, what is the probability that the first is red and the second is white? (c) If you draw two balls without replacing the first one, what is the probability that one ball is red and the other is white?
  3. A single six person jury must be selected from a pool of 15 jurors.

(a) How many ways can a group of six people be selected if they are not seated in any particular order?

(b) How many different groups of six people can be selected if the seating arrangement (in a row) matters?

  1. In a market survey a random sample of 100 people were asked two questions. Did they buy Sparkle toothpaste last month, and did they see an ad for Sparkle on TV last month? The responses are in the accompanying table.

For a person selected at random from the sample: (a) Find the probability that a person saw the ad. (b) Find the probability that a person bought Sparkle. (c) Find the probability that the person bought Sparkle, given that she or he saw the ad. (d) Find the probability that a person saw the ad and bought Sparkle.

  1. In purchasing a sound system you have 4 choices for speakers, another 2 choices for receivers and 5 choices for CD players. How many different systems can you construct consisting of 2 identical speakers, one receiver and 1 CD player?
  2. Betty belongs to a 24 member hiking club. The club received two free annual passes to the national parks and decided to give them to two members chosen by lottery. Each member was eligible to win at most one pass. All 24 members took part in the lottery. (a) Find the probability that Betty did not win the first pass. (b) Find the probability that Betty won the second pass given that she did not win the first pass. (c) Find the probability that Betty won the second pass. (d) Find the probability that Betty won either the first or the second pass. (e) Find the probability that Betty did not win either pass.
  3. A franchise chain of small grocery stores has kept records of the number of bad checks passed in its stores. They used the data to get a probability distribution for the number of bad checks passed in a store each week. In the table below x = number of bad checks and P ( x ) is the probability that x bad checks will be passed in a week.

(a) Calculate the expected number of bad checks the chain will get in one week. (b) Calculate the standard deviation for the number of bad checks. (c) What is the probability that two or more bad checks will be passed in a week? (d) What is the probability that no bad checks will be passed in a week?