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Final Exam
Onur zsoy
Instructions for the exam:
This exam is open book and open notes. You may use text books, lecture notes, and a calculator.
Write your name, last name, student number, and the name of your department at the space provided on the top left of the exam paper.
Circle the best possible answer at each question.
USE OF LAPTOPS and COMPUTERS are PROHIBITED.
There are total of 20 multiple choice questions. Each question is worth 5 points. The exam is 70 minutes.
Good Luck.
For ease of data entry into a university database, 1 indicates that the student is an undergraduate and 2 indicates that the student is a graduate student. In this case data are
categorical.
quantitative.
either categorical or quantitative.
neither categorical nor quantitative.
scale.
If a data set has an even number of observations, the median
can not be determined.
is the average value of the two middle items.
must be equal to the mean.
is the average value of the two middle items when all items are arranged in ascending order.
is the 75th percentage.
If three coins are tossed the probability of getting exactly two heads is:
a) 2/3 b) 3/8 c) 2/8 d) 1/3
If a pair of dice are rolled the probability of getting at least one six is:
a) 11/36 b) 10/36 c) 6/36 d) 1/36
Questions 5 to 10 refer to a large batch of invoices from a particular company. You are asked to assume that the values of the invoices (TL) have a normal distribution with mean of 200 TL and standard .deviation of 30 TL
What percentage of the invoices have values of less than 170 TL?
a) 16% b) 26% c) 36% d) 85%
What percentage of invoices have values over 150 TL?
a) 21% b) 45% c) 95% d) 95%
What percentage of the invoices have values between 170 TL and 210 TL?
a) 29% b) 47% c) 76% d) 95%
What percentage of the invoices have values between 170 TL and 190 TL?
a) 21% b) 47% c) 53% d) 79%
What is the value which is exceeded by 40% of the invoices?
a) 58 TL b) 108 TL c) 158 TL d) 208 TL
What is the value below which 25% of the invoices fall?
a) 58 TL b) 158 TL c) 180 TL d) 220 TL
A random sample of 15 people is taken from a population in which 40% favour a particular political stand. What is the probability that exactly 6 Individuals in the sample favour this political stand? (Clue: Binomial probability distribution)
(a) 0.4000
(b) 0.5000
(c) 0.4000
(d) 0.2066
(e) 0.0041
Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent one-person crime. Then the probability of observing no positive reading if all suspects plead innocent and are telling the truth is (Clue: Binomial probability distribution)
(a) 0.409
(b) 0.735
(c) 0.00001
(d) 0.591
(e) 0.99999
It has been estimated that about 30% of frozen chicken contain enough
Salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens?
(a) .961
(b) .118
(c) .882
(d) .039
Which of the following is NOT an assumption of the Binomial distribution?
(a) All trials must be identical.
(b) All trials must be independent.
(c) Each trial must be classified as a success or a failure.
(d) The number of successes in the trials is counted.
(e) The probability of success is equal to 0.5 in all trials.
The probability that a certain machine will produce a defective item is
1/4. If a random sample of 6 items is taken from the output of this
machine, what is the probability that there will be 5 or more defectives in
the sample?
(a) 1/4096
(b) 19/4096
(c) 3/4096
(d) 4/4096
(e) 18/4096
Suppose 60% of a herd of cattle is infected with a particular disease. Let Y= the number of non-diseased cattle in a sample of size 5. The distribution of Y is
(a) binomial with n =5 and p =06
(b) binomial with n =5 and p =04
(c) binomial with n =5 and p =05
(d) the same as the distribution of X ,the number of infected cattle.
(e) Poisson with lambda=6
Suppose that the probability that a cross between two varieties will express
a particular gene is 0.20. What is the probability that in 8 progeny plants,
two or fewer plants will express the gene?
(a) .2936
(b) .3355
(c) .1678
(d) .6291
(e) .7969
Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with density of 3 per square meter. What is the probability of there being exactly 4 flaws on a sheet of glass of area 0.5 square meter? (Clue: Poisson)
(a) 0.047
(b) 0.168
(c) 0.981
(d) 0.815
(e) 0.647
The rate at which a particular defect occurs in lengths of plastic film being produced by a stable manufacturing process is 4.2 defects per 75 meter length. A random sample of the film is selected and it was found that the length of the film in the sample was 25 meters. What is the probability That there will be at most 2 defects found in the sample? (Clue: Poisson)
(a) 0.2102
(b) 0.2417
(c) 0.8335
(d) 0.1323
(e) 0.1665
The number of traffic accidents per week in a small city has a Poisson distribution with mean equalto 1.3. What is the probability of at least two accidents in 2 weeks?
(a) 0.2510
(b) 0.3732
(c) 0.5184
(d) 0.7326
(e) 0.4816
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