Question
1. (5 points) When a histogram has a longer tail to the left, it is said to be symmetrical skewed to the left skewed to
1. (5 points) When a histogram has a longer tail to the left, it is said to be
symmetrical
skewed to the left
skewed to the right
none of the alternatives is correct
2. (5 points) The measure of center which is most likely to be inuenced by extreme values is
Range
Median
Mode
Mean
3. (5 points) Choose the right option:
The mean of the sample is always smaller than the mean of the population from which the sample
was taken.
The mean of the sample can never be zero.
The mean of the sample can never be negative.
None of these alternatives is correct.
4. (5 points) The value which has half of the observations above it and half the observations below it is
called the
Range
Mode
Median
Mean
5. (5 points) Two events are mutually exclusive
if their intersection is one.
if their intersection is zero.
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BUSI 1013 Midterm Exam Spring 2021
if P(A \ B) = P(A) P(B).
None of the alternatives are correct.
6. (5 points) Which of the following statements is true?
For an event A, 1 P(A) 1.
For an event A, P(A) = 1 P(Ac).
For any two events A and B, P(A) + P(B) = 1
For any two events A and B, P(A [ B) = P(A) + P(B)
7. (5 points) Two events with non-zero probabilities
can be both mutually exclusive and independent.
cannot be both mutually exclusive and independent.
are always mutually exclusive.
are always independent.
8. (5 points) If A and B are independent events with P(A) = 0:65 and P(A \ B) = 0:29, then P(B) is
equal to
9. (10 points) Probability that a family has a car, has a bike, has both a car and a bike is equal to 0.61,
0.25, 0.08 respectively. If we randomly choose a family, calculate the following probabilities:
(1) (5 points) Probability that the family does not have a car.
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BUSI 1013 Midterm Exam Spring 2021
(2) (5 points) Probability that the family has at least one of them.
10. (20 points) A device is set to ll bottle of juice with only 330 grams. The amount of juice that device
pours into bottles has a normal distribution with mean of 330 gram and std of 5. Given this information,
calculate the following probabilities:
(1) (10 points) A random bottle has between 322 and 328 grams of juice.
(2) (10 points) A random bottle has more than 335 grams of juice.
11. (10 points) Age for employees working in a company follow a normal distribution with mean of 35 and
std of 12 years. If the company wanted to retire anybody who is older than 55, what percentage of
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BUSI 1013 Midterm Exam Spring 2021
employees would have to retire?
12. (20 points) Company that produces ne crystal knows from experience that 10% of its goblets have
cosmetic aws and must be classied as second.
(1) (10 points) Among six randomly selected goblets, how likely is it that only one is second?
(2) (10 points) Among six randomly selected goblets, what is the probability that at most two are
second?
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