Poll was conducted about two new movies, let’s call them movie M1 and movie M2.
500 people were asked if they saw these movies.
120 people said they saw movie M1, 90 people said they saw movie M2,
40 people said they saw both movie, M1 and M2.
1. What is the probability that randomly selected person from this poll
saw movie M1 or saw movie M2?
2. What is the probability that person saw movie M2 if this person saw movie M1?
There are 6 chips in the box. The chips are numbered 1 through 6: 1, 2, 3, 4, 5, 6.
You randomly take one chip from the box, record the number
and put the chip back to the box. Then you take another chip from the box,
record the number and put the chip back to the box.
Then repeat it one more times with third chip.
3. How many elements are in the sample space of this experiment?
Use the Fundamental Counting Rule (page 184) to find number of possible outcomes.
4. What is the probability that all three chips will have different number?
Divide number of outcomes with all different numbers over total number of possible outcomes.
5. What is the probability that all three chips will have even numbers?
Divide number of outcomes with all even numbers over total number of possible outcomes.
Tip: See Sample Space and Probability link posted in Course Content – Help Files.
|
x |
2 |
4 |
5 |
6 |
9 |
|
P(x) |
0.1 |
0.2 |
0.4 |
0.2 |
0.1 |
For the following Discrete Probability Distribution of Random Variable:
6.Calculate Expected Valueof x: E(x).
7. Calculate the Standard Deviation of x.
8. In how many ways can you select 3 people out of 7 candidates?
Order of selection doesn’t matter – use combinations (see page 187).
A fair coin tossed 8 times. Find the probability of getting
9.Exactly 4 Heads.
10. Less than 4 Heads (4 is not included).
(Apply Binomial distribution: setup n, x, p and use Appendix Table A-1)
Find the area under the standard normal distribution curve
11.to the left of z = 0.44
12.to the right of z = 1.52
(use Appendix Table A-2 for Normal distribution).
Test scores are normally distributed with a mean of 170 and a standard deviation of 10.
13. What is the probability that randomly picked score will be between 165 and 180?
14. Find 90th percentile of this distribution
(from Appendix table A-2 find z that has area to the left close to 0.9000 and convert z-score
to x-value).
15. If a random sample of 64 scores selected, what is the standard deviation of sample mean
for Sampling Distribution of Sample Mean?
(see page 286 in edition 12 of our textbook, for edition 11 page 289)
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