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WorksheetsProbability Models - Review
Total questions: 13
Worksheet time: 31mins
Name
Class
Date
1.
60% of the commercials aired on a network from 8 PM to 10 PM are 15 seconds long, 20% are 30 seconds long, and the rest are 60 seconds. What is the expected length of a commercial?
a)
25 seconds
b)
26 seconds
c)
27 seconds
d)
28 seconds
2.
60% of the commercials aired on a network from 8 PM to 10 PM are 15 seconds long, 20% are 30 seconds long, and the rest are 60 seconds. What is the standard deviation?
a)
16.4934 seconds
b)
17.4929 seconds
c)
18.5321 seconds
d)
19.0001 seconds
3.
Decide whether a binomial model applies and explain why or why not. Counting the number of Democrats, Republicans, and Independents in the school faculty
a)
Yes, a binomial model applies
b)
No, there are more than two outcomes.
4.
Decide whether a binomial model applies and explain why or why not. Counting the number of red gummy bears you get as you take them one at a time from a small bag.
a)
Yes, a binomial model applies
b)
No, there are more than two outcomes.
c)
No, the trials are not independent, the probability of success changes after each trial.
5.
Decide whether a binomial model applies and explain why or why not. Counting the number of times a waiter drops his tray during his shift.
a)
Yes, a binomial model applies
b)
No, there are more than two outcomes.
c)
No, the probability varies depending on what he carries.
6.
A marksman has 80% accuracy hitting targets at 1,000 yards. What is the probability that she won't hit the target until her third shot?
a)
0.032
b)
0.4096
c)
0.1369
d)
0.7373
7.
A marksman has 80% accuracy hitting targets at 1,000 yards. What is the probability that she will make exactly 4 of her next 5 shots?
a)
0.032
b)
0.4096
c)
0.1369
d)
0.7373
8.
A marksman has 80% accuracy hitting targets at 1,000 yards. What is the probability that he will make exactly 18 of his next 20 shots?
a)
0.032
b)
0.4096
c)
0.1369
d)
0.7373
9.
A marksman has 80% accuracy hitting targets at 1,000 yards. What is the probability that he will make at least 4 of his next 5 shots?
a)
0.032
b)
0.4096
c)
0.1369
d)
0.7373
10.
A marksman has 80% accuracy hitting targets at 1,000 yards. Find the probability that she will miss exactly 2 of her next 30 shots?
a)
0.0337
b)
0.4096
c)
0.1369
d)
0.7373
11.
In 2010, an Angus Reid Public Opinion poll found that 56% of all Canadians admit to regularly swearing when they converse with friends (46% for Americans). A researcher plans to select a random sample of 200 Canadians from Montreal to further survey them about this topic. Verify that a Normal model is a useful approximation for the Binomial in this situation.
a)
yes, np=112 and nq=88
b)
no, np=112 and nq=99
12.
In 2010, an Angus Reid Public Opinion poll found that 56% of all Canadians admit to regularly swearing when they converse with friends (46% for Americans). A researcher plans to select a random sample of 200 Canadians from Montreal to further survey them about this topic. Find the mean and standard deviation of the Normal model
a)
mean = 88, standard deviation = 7.02 people
b)
mean = 112, standard deviation = 7.02 people
c)
mean = 88, standard deviation = 1.1396
d)
mean = 112, standard deviation = 1.1396
13.
In 2010, an Angus Reid Public Opinion poll found that 56% of all Canadians admit to regularly swearing when they converse with friends (46% for Americans). A researcher plans to select a random sample of 200 Canadians from Montreal to further survey them about this topic. Use a Normal model to find the probability that at least 120 Canadians in their sample admit to swearing with their friends.
a)
0.0299
b)
.01426
c)
0.1272
d)
0.0005
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