Choose the correct choice and answer the following problems.
1. On an exam on probability concepts, Sue had an answer of 13/8 for one problem. give details how she knew that this result was incorrect.
2. "You cannot conclude the exact decimal-number value of Π."
a.1
b.3.14
c.0
d.0.5
3. What is the likelihood of an event that is certain to occur?
a.0.95
b.1
c.0.99
d.0.5
4. A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is at random selected from the bag, what is the probability that is blue?
5. A multiple choice problem has 16 possible answers, only one of which is correct. Is it "unusual" to answer a problem correctly is a random guess is made?
6. Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.206. Find the probability that in a given year it will not snow on January 1st in that town.
7. The pH level in a shampoo
i. Discrete
ii. Continuous
8. If a person is randomly selected from a certain town, the possibility distribution for the number, x, of siblings is as described in the accompanying table.
9. Choosing 5 people (without replacement) from a group of 59 people, of which 15 are women, keeping track of the number of men chosen.
|
x
|
P(x)
|
|
0
|
0.27
|
|
1
|
0.29
|
|
2
|
0.23
|
|
3
|
0.10
|
|
4
|
0.08
|
|
5
|
0.02
|
a. Not binomial: there are too many trials.
b. Procedure results in a binomial distribution.
c. Not binomial: there are more than two outcomes for each trial.
d. Not binomial: the trials are not independent.
10. The probability that Z lies between 0 and 3.01