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example 4
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Lecture notes of 12 pages for the course Statistics at UCalgary (4)
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Benjamin Odei F2021STAT213Assignment 4 is due on Monday, November 01, 2021 at 11:59pm.
The number of attempts available for each question is noted beside the question. If you are having trouble figuring out your error, you
should consult the textbook, or ask a fellow student, one of the TA’s or your professor for help.
There are also other resources at your disposal, such as the Mathematics Continuous Tutorials. Don’t spend a lot of time guessing – it’s
not very efficient or effective.
Make sure to give lots of significant digits for (floating point) numerical answers. For most problems when entering numerical answers,
you can if you wish enter elementary expressions such as 2 ∧ 3 instead of 8, sin(3 ∗ pi/2)instead of -1, e ∧ (ln(2)) instead of 2, (2 +
tan(3)) ∗ (4 − sin(5)) ∧ 6 − 7/8 instead of 27620.3413, etc.
Problem 1. (1 point) Problem 3. (1 point)
In the spring, a biologist and her team placed radio collars on 32 A student waited at a bus stop. To pass the time, they notice how
grizzly bears living in Southwestern Alberta in an attempt to study many vehicles passed, say 20, and wondered how many were us-
their migration habits. In the fall, she and her team return to the ing a cell phone.
area and observe 10 grizzly bears from a helicopter, and count
how many of these bears had a radio-collar.
Identify the probability model that best models this the num-
ber of cell users.
Identify the probability model that best models this count.
• A. Normal distribution
• A. Hypergeometric distribution • B. Binomial distribution
• B. Binomial distribution • C. Bernoulli distribution
• C. Normal distribution • D. Poisson distribution
• D. Poisson distribution • E. Hypergeometric distribution
• E. Bernoulli distribution • F. Uniform distribution
• F. Uniform distribution • G. none of the above
• G. none of the above Answer(s) submitted:
Answer(s) submitted: •
• (incorrect)
(incorrect)
Problem 2. (1 point)
A pollster working for a certain political candidate is to randomly
call 500 persons, and ask if they will vote for this political can-
didate. The pollster then counts how many of the 500 persons
indicate they will vote for said candidate.
Identify the probability model that best models this count.
• A. Binomial distribution
• B. Bernoulli distribution
• C. Normal distribution
• D. Uniform distribution
• E. Hypergeometric distribution
• F. Poisson distribution
• G. none of the above
Answer(s) submitted:
•
(incorrect)
1
, Problem 4. (1 point) Problem 6. (1 point)
The manager of the emergency room (ER) at a large hospital is to A person is to walk into a casino and play a certain game. The
count the number of patients arriving at the ER to receive medical chance the person will win the game is 0.39. Once they play the
attention, per hour. He randomly picks 11 one-hour time inter- first game, win or lose, they are to play the game 3 more times for
vals, and counts the number of people arriving to receive medical a total of 4 games.
attention in each of these 11 one-hour time intervals.
A random variable X is to count how many of the 4 games the
He notices that this count fluctuates from one-hour to the next. gambler wins.
Identify the probability model that best models such fluctuations. (a) Finish the probability distribution of X below. Use four deci-
mals in each of your entries.
• A. Bernoulli distribution
• B. Binomial distribution
• C. Random distribution X 0 1 2 3 4
• D. Poisson distribution P(X = x)
• E. Hypergeometric distribution
• F. Uniform distribution
• G. none of the above
Answer(s) submitted: (b) From the distribution you found in part (a), what can you say
• about the distribution of X?
(incorrect)
The distribution of X is
•?
• symmetrical
• skewed to the right
• skewed to the left
Problem 5. (1 point)
, with an mean of games won and a standard deviation of
A lottery consists of picking 6 numbers from 1 to 48, the winner games won.
of this lottery has to match all numbers chosen. That is, his/her 6
numbers have to match the 6 numbers taken from 1 to 48. (Enter your answers to two decimals.)
Answer(s) submitted:
A player of this lottery is to count how many of his/her num- •
bers match the winning 6-number combination. •
•
•
Identify the probability model that best models this count. •
•
• A. Normal distribution •
•
• B. Hypergeometric distribution
• C. Poisson distribution (incorrect)
• D. Binomial distribution
• E. Uniform distribution
• F. Bernoulli distribution
• G. none of the above
Answer(s) submitted:
•
(incorrect)
2
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