Math 54 Section 6.1, 6.2
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Math 54
Section 6.1, 6.2
1. Determine whether the distribution is a discrete probability distribution. If not, state why.
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|
|
|
0 |
0.16 |
|
1 |
0.18 |
|
2 |
0.22 |
|
3 |
0.10 |
|
4 |
0.30 |
|
5 |
0.01 |
2. Determine whether the distribution is a discrete probability distribution. If not, state why.
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|
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0 |
0.1 |
|
1 |
0.23 |
|
2 |
0.22 |
|
3 |
0.6 |
|
4 |
-0.15 |
3. Compute the mean and the standard deviation of the probability distribution which represents the number of DVD’s a person rents from the store during a single visit.
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0 |
0.06 |
|
1 |
0.58 |
|
2 |
0.22 |
|
3 |
0.10 |
|
4 |
0.03 |
|
5 |
0.01 |
4. Determine whether the random variable is discrete and continuous.
a) The heights of the bookcases in a school library
b) The number of goals scored in a hockey game
5. The following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Graph the probability.
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0 |
0.30 |
|
1 |
0.40 |
|
2 |
0.20 |
|
3 |
0.06 |
|
4 |
0.04 |
6. A random number generator is set to generate single digits between 0 and 9. One hundred and fifty random numbers are generated. The probability distribution for this random number generator is given below. What is the mean of this distribution?
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|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
0.09 |
0.12 |
0.11 |
0.08 |
0.09 |
0.13 |
0.10 |
0.07 |
0.10 |
0.11 |
7. According to insurance records a car with a certain protection system will be recovered 91% of the time. Find the probability that 5 of 6 stolen cars will be recovered.
8. A recent survey found that 79% of all adults over 50 wear sunglasses for driving. In a random sample of 80 adults over 50, what is the mean and standard deviation of those that wear sunglasses?
9. A quiz consists of 570 true or false questions. If the student guesses on each question, what is the mean number of correct answers?
10. The probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what is the probability that at least eight were in a museum?
2022-05-21