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59 . Write the symbols for the probability that the student is an education major, given that the student is male.

3.2: independent and mutually exclusive events

60 . Events A and B are independent.
If P ( A ) = 0.3 and P ( B ) = 0.5, find P ( A AND B ).

61 . C and D are mutually exclusive events.
If P ( C ) = 0.18 and P ( D ) = 0.03, find P ( C OR D ).

3.3: two basic rules of probability

62 . In a high school graduating class of 300, 200 students are going to college, 40 are planning to work full-time, and 80 are taking a gap year. Are these events mutually exclusive?

Use the following information to answer the next two exercises. An archer hits the center of the target (the bullseye) 70 percent of the time. However, she is a streak shooter, and if she hits the center on one shot, her probability of hitting it on the shot immediately following is 0.85. Written in probability notation:
P ( A ) = P ( B ) = P (hitting the center on one shot) = 0.70
P ( B | A ) = P(hitting the center on a second shot, given that she hit it on the first) = 0.85

63 . Calculate the probability that she will hit the center of the target on two consecutive shots.

64 . Are P ( A ) and P ( B ) independent in this example?

3.4: contingency tables

Use the following information to answer the next three exercises. The following contingency table displays the number of students who report studying at least 15 hours per week, and how many made the honor roll in the past semester.

Honor roll No honor roll Total
Study at least 15 hours/week 200
Study less than 15 hours/week 125 193
Total 1,000

65 . Complete the table.

66 . Find P (honor roll|study at least 15 hours per week).

67 . What is the probability a student studies less than 15 hours per week?

68 . Are the events “study at least 15 hours per week” and “makes the honor roll” independent? Justify your answer numerically.

3.5: tree and venn diagrams

69 . At a high school, some students play on the tennis team, some play on the soccer team, but neither plays both tennis and soccer. Draw a Venn diagram illustrating this.

70 . At a high school, some students play tennis, some play soccer, and some play both. Draw a Venn diagram illustrating this.

Practice test 1 solutions

1.1: definitions of statistics, probability, and key terms

1 .

  1. population: all the shopping visits by all the store’s customers
  2. sample: the 1,000 visits drawn for the study
  3. parameter: the average expenditure on produce per visit by all the store’s customers
  4. statistic: the average expenditure on produce per visit by the sample of 1,000
  5. variable: the expenditure on produce for each visit
  6. data: the dollar amounts spent on produce; for instance, $15.40, $11.53, etc

2 . c

3 . d

1.2: data, sampling, and variation in data and sampling

4 . d

5 . c

6 . Answers will vary.
Sample Answer: Any solution in which you use data from the entire population is acceptable. For instance, a professor might calculate the average exam score for her class: because the scores of all members of the class were used in the calculation, the average is a parameter.

7 . b

8 . a

9 .

# of years Frequency Relative Frequency Cumulative Relative Frequency
<5 25 0.25 0.25
5–10 30 0.30 0.55
>10 45 0.45 1.00

Questions & Answers

what is primary data and it's various types of collection of data?
Xaib Reply
If a random variable X takes only two values -2 and 1 such that 2 P[X=- 2]=P[X=1]=P, then find variance of x.
Dikshita Reply
2.5
Anirban
how!
Alif
the mean of random variable following binomial distribution is 10. the numbers of trails are 30. What the approximate value of variance?
AMIT Reply
what is chis square
Remelyn Reply
A chi-square (χ2) statistic is a test that measures how a model compares to actual observed data.
kalim
descriptive statistics basic
Sangeetha
Hi Friends
Sangeetha
tamil people yaaraavathu irukkingala
Sangeetha
what is the median of the following set of number:3,3,3,4,5,6,7,8,8,9?
Sur Reply
3
Mbemah
5.6
Alekya
(5+6)/2=5.5555.......=5.6
Lyrical
(5+6)/2=5.5 that is the median
moniba
hi friends am new here, hope am welcome
nathan
hi friends am new here, hope am welcome
nathan
1.5
nathan
differences between Intervals and Ratio measurement scales
VIP Reply
interval is the distinct from a starting point to the peak of a certain distance
Mbemah
the taking of a certain range accurately in a divisional way
Mbemah
i need the solution for exercise sums
Siva Reply
descriptive statistics sums I need
Sangeetha
statistics discovered?
Kaleem Reply
internet
Kamranali
dev OS
Virendra
searching for motivation to learn stat
Nija
purpose of of statistics
mukesh
ya..
mukesh
tamil people yaraavathu inrukkingala
Sangeetha
Odisha ru kau bhai mane achha?
Hemanta
I want to learn my MSC by statistics who can help me ?
Abebe
@Avirup interest person
Abebe
good morning
Sangeetha
Dr good morning
mukhtar
in statistical inferences we use population parameter to infer sample statistics
anupama Reply
Yes
lukman
how do we calculate decile
Drix Reply
how do we calculate class boundaries
Syed
The lower class boundary is found by subtracting 0.5 units from the lowerclass limit and the upper class boundary is found by adding 0.5 units to the upper class limit. The difference between the upper and lowerboundaries of any class.
Ekene
The lower class boundary is found by subtracting 0.5 units from the lowerclass limit and the upper class boundary is found by adding 0.5 units to the upper class limit. The difference between the upper and lowerboundaries of any class.
Ekene
complete definition plz
Zarifa Reply
what are the advantages and disadvantages of primary and secondary data
Elisha Reply
advantage of primary data 1) specific 2) Accurate 3)ownership 4)up to date information 5) control Disadvantage of primary data 1) Expensive 2) time consuming 3) feasibility.
Xaib
the average increase for all NASDAQ stocks is the
Technical Reply
formula of poisson probability distribution
Ch Reply
frequency distribution table
Ali Reply
Giveanswer
Girma

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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