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Question 1 4 points Save
If n = 10 and p = 0.70, then the mean of the binomial distribution is
0.07
1.45.
7.00
14.29
Question 2 4 points Save
In a binomial distribution
the random variable X is continuous.
the probability of success p is stable from trial to trial.
the number of trials n must be at least 30.
the results of one trial are dependent on the results of the other trials.
Question 3 4 points Save
In a Poisson distribution, the mean and standard deviation are equal.
True
False
Question 4 4 points Save
A lab orders 100 rats per week for each of the 52 weeks in the year. Suppose the mean cost of rats is $13.00 per week. Interpret this value.
Most of the weeks resulted in rat costs of $13.00.
The median cost for the rats is $13.00.
The expected weekly cost for all rat purchases is $13.00.
The rat cost that occurs more often than any other is $13.00.
Question 5 4 points Save
A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast food outlet on the ground floor of the campus building, what is the probability that all 4 students selected are undergraduate students?
0.0256
0.0625
0.16
1.00
Question 6 4 points Save
Suppose that the number of airplanes arriving at an airport per minute is a Poisson process. The average number of airplanes arriving per minute is 3. The probability that exactly 6 planes arrive in the next minute is 0.0504.
True
False
Question 7 4 points Save
In a Poisson distribution, the mean and variance are equal.
True
False
Question 8 4 points Save
On the average, 1.8 customers per minute arrive at any one of the checkout counters of a grocery store. What type of probability distribution can be used to find out the probability that there will be no customer arriving at a checkout counter?
binomial distribution.
Poisson distribution.
cumulative distribution.
none of the above.
Question 9 4 points Save
If the outcome of event A is not affected by event B, then events A and B are said to be
mutually exclusive.
statistically independent.
collectively exhaustive.
None of the above.
Question 10 4 points Save
Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.
Referring to TABLE 4-1, what proportion of accidents involved alcohol and a single vehicle?
25/400 or 6.25%
50/400 or 12.5%
195/400 or 48.75%
245/400 or 61.25%
Question 11 4 points Save
The employees of a company were surveyed on questions regarding their educational background and marital status. Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. The probability that an employee of the company has a college degree is:
0.10
0.25
0.67
0.73
Question 12 4 points Save
If two events are collectively exhaustive, what is the probability that both occur at the same time?
0.
0.50.
1.00.
Cannot be determined from the information given.
Question 13 4 points Save
The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that the cost is kept within budget and the campaign will increase sales is:
0.20
0.32
0.40
0.88
Question 14 4 points Save
If two events are mutually exclusive and collectively exhaustive, what is the probability that both occur at the same time?
0.
0.50.
1.00.
Cannot be determined from the information given.
Question 15 4 points Save
According to a survey of American households, the probability that the residents own 2 cars is 80%, given annual income is over $25,000.
Of the households surveyed, 60% had incomes over $25,000; 70% owned 2 cars.
Given the knowledge that the residents of a given household do NOT own 2 cars, what is the probability that their annual household income is over $25,000?
0.12
0.18
0.7
0.26
My answer for this is 0.4
Question 16 4 points Save
According to a survey of American households, the probability that the residents own 2 cars is 80%, given annual income is over $25,000.
Of the households surveyed, 60% had incomes over $25,000; 70% owned 2 cars.
What is the probability that the residents of a household do NOT own 2 cars and have an income over $25,000?
0.12
0.18
0.22
0.48
Question 17 4 points Save
The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A citation catfish should be one of the top 2% in weight.
Assuming the weights of catfish are normally distributed, at what weight (in pounds) should the citation designation be established?
1.56 pounds
4.84 pounds
5.20 pounds
7.36 pounds
Question 18 4 points Save
The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, above what weight (in pounds) do 89.80% of the weights occur?
2.124 pounds
1.124 pounds
3.124 pounds
2.184 pounds
Question 19 4 points Save
A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. Find the age at which payments have ceased for approximately 86% of the plan participants.
72.12
45.26
71.78
62.42
Question 20 4 points Save
If we know that the length of time it takes college students to park their cars follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.
0.0919
0.2255
0.4938
0.7745
Question 21 4 points Save
In its standardized form, the normal distribution has:
a mean of 0 and a standard deviation of 1.
a mean of 1 and a variance of 0.
an area equal to 0.5.
None of the above are correct.
Question 22 4 points Save
The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh less than 2.2 pounds is _______?
0.1253
0.1056
0.0124
0.2145
Question 23 4 points Save
For some positive value of X, the probability that a standard normal variable is between 0 and 2X is 0.1255. The value of X is
0.99
0.40
0.32
0.16
Question 24 4 points Save
The probability that a standard normal random variable, Z, is between 1.00 and
3.00 is 0.1574.
True
False
Question 25 4 points Save
True or False: The "middle spread," that is the middle 50% of the normal distribution, is equal to one standard deviation.
True
False
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