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MqIIieOQMZ, Exams of Statistics

Elements of Statistics: Mathematics review questions (with solutions) | MA 116

Typology: Exams

2019/2020

Uploaded on 06/08/2020

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Math 116 - Review Chapter 4
Name___________________________________
Find the indicated probability.
1)
A survey resulted in the sample data in the given table. If one of the survey respondents is randomly selected,
find the probability of getting someone who lives in a flat. Round to the nearest thousandth, if necessary.
Type of
accommodation Number
House 690
Flat 387
Apartment 543
Other 605
Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05.
2)
A multiple choice question has
19
question correctly if a random guess is made?
3)
If you drew one card from a standard deck, would it be "unusual" to draw a
6
?
4)
If you drew one card from a standard deck, would it be "unusual" to draw an
eight
of
clubs
?
Use the relative frequency approach to estimate the probability of the event.
5)
Of
1037
people who came into a blood bank to give blood,
330
people had high blood pressure. Estimate the
probability that the next person who comes in to give blood will have high blood pressure.
6)
In a certain class of students, there are
12
boys from Wilmette,
5
girls from Winnetka,
7
girls from Wilmette,
5
boys from Glencoe, 2 boys from Winnetka and 8 girls from Glenoce. If the teacher calls upon a student to
answer a question, what is the probability that the student will be a boy?
Find the indicated probability.
7)
Based on meteorological records, the probability that it will snow in a certain town on January 1st is
0.342
. Find
the probability that in a given year it will not snow on January 1st in that town.
8)
The table below describes the smoking habits of a group of asthma sufferers.
Nonsmoker
Occasional
smoker
Regular
smoker
Heavy
smoker Total
Men 382 37 60 34 513
Women 403 31 74 37 545
Total 785 68 134 71 1058
If one of the 1058 people is randomly selected, find the probability that
a) the person is a man or a heavy smoker.
b) The person is a nonsmoker or an occasional smoker.
9)
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a
4
?
10)
In one town,
51
% of all voters are Democrats. If two voters are randomly selected for a survey, find the
probability that they are both Democrats.
11)
Find the probability of correctly answering the first
2
questions on a multiple choice test if random guesses are
made and each question has 6 possible answers.
1
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Math 116 - Review Chapter 4 Name___________________________________

Find the indicated probability.

  1. A survey resulted in the sample data in the given table. If one of the survey respondents is randomly selected, find the probability of getting someone who lives in a flat. Round to the nearest thousandth, if necessary. Type of accommodation Number House 690 Flat 387 Apartment 543 Other 605

Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05.

  1. A multiple choice question has 19 possible answers, only one of which is correct. Is it "unusual" to answer a question correctly if a random guess is made?

  2. If you drew one card from a standard deck, would it be "unusual" to draw a 6?

  3. If you drew one card from a standard deck, would it be "unusual" to draw an eight of clubs?

Use the relative frequency approach to estimate the probability of the event.

  1. Of 1037 people who came into a blood bank to give blood, 330 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.

  2. In a certain class of students, there are 12 boys from Wilmette, 5 girls from Winnetka, 7 girls from Wilmette, 5 boys from Glencoe, 2 boys from Winnetka and 8 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy?

Find the indicated probability.

  1. Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.342. Find the probability that in a given year it will not snow on January 1st in that town.

  2. The table below describes the smoking habits of a group of asthma sufferers.

Nonsmoker

Occasional smoker

Regular smoker

Heavy smoker Total Men 382 37 60 34 513 Women 403 31 74 37 545 Total 785 68 134 71 1058

If one of the 1058 people is randomly selected, find the probability that a) the person is a man or a heavy smoker. b) The person is a nonsmoker or an occasional smoker.

  1. A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 4?

  2. In one town, 51% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.

  3. Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 6 possible answers.

Answer Key

Testname: CHAPTER

  1. No
  2. No
  3. Yes
  4. 4 13
  5. 1 36