1.From long experience, NoFlat Tire knows that the probability is .55 that their
ID: 3130858 • Letter: 1
Question
1.From long experience, NoFlat Tire knows that the probability is .55 that their XB-70 will last 80,000 miles before it becomes bald or fails. An adjustment is made on any tire that does not last 80,000 miles. You purchase four XB-70s. What is the probability only 3 tires will last at least 80,000 miles?
2.Solve the following:
a.9P3
b.8C5
4. If a pair of dice are rolled, find the probability that:
a.The first roll totals 5
b.The second roll totals 7
c.The first roll totals 5 AND the second roll totals 7?
5. A saleswoman finds that the probability that her monthly commission is as follows:
Commission
Probability
$0
0.10
$500
0.25
$1000
0.35
$1500
0.30
a. Find her expected monthly commission
b.If she is offered a job at a salary of $1100 per month, should she take it?
7 If two events are collectively exhaustive, what is the probability that one or the other occurs?
0
0.50
1.00
Cannot be determined from the information
8 If two events are mutually exclusive, what is the probability that both occur at the same time?
0
0.50
1.00
Cannot be determined from the information given.
9 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, what is the probability that all 4 students selected are undergraduate students?
0.0256
0.0625
0.16
100
10 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
Hypergeometric distribution
None of the above
14 A probability distribution is an equation that
associates a particular probability of occurrence with each outcome in the sample space.
measures outcomes and assigns values of X to the simple events.
assigns a value to the variability in the sample space.
assigns a value to the center of the sample space.
15 Which of the following about the binomial distribution is not a true statement?
The probability of success must be constant from trial to trial.
Each outcome is independent of the other.
Each outcome may be classified as either "success" or "failure."
The random variable of interest is continuous.
16 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.
17 What type of probability distribution will the consulting firm most likely employ to analyze the insurance claims in the following problem?
An insurance company has called a consulting firm to determine if the company has an unusually high number of false insurance claims. It is known that the industry proportion for false claims is 3%. The consulting firm has decided to randomly and independently sample 100 of the company’s insurance claims. They believe the number of these 100 that are false will yield the information the company desires.
binomial distribution.
Poisson distribution.
hypergeometric distribution.
none of the above.
18 What type of probability distribution will most likely be used to analyze the number of chocolate chip parts per cookie in the following problem?
The quality control manager of Marilyn’s Cookies is inspecting a batch of chocolate chip cookies. When the production process is in control, the average number of chocolate chip parts per cookie is 6.0. The manager is interested in analyzing the probability that any particular cookie being inspected has fewer than 5.0 chip parts.
binomial distribution.
Poisson distribution.
hypergeometric distribution.
none of the above.
19 A professor receives, on average, 24.7 e-mails from students the day before the midterm exam. To compute the probability of receiving at least 10 e-mails on such a day, he will use what type of probability distribution?
binomial distribution.
Poisson distribution.
hypergeometric distribution.
none of the above.
20 A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts. Suppose the mean cost of rats used in lab experiments turned out to be $13.00 per week. Interpret this value.
Most of the weeks resulted in rat costs of $13.00.
The median cost for the distribution of rat costs is $13.00.
The expected or average cost for all weekly rat purchases is $13.00.
The rat cost that occurs more often than any other is $13.00.
21 The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 6 outages per year. The probability that there will be exactly 3 power outages in a year is ____________.
22 An Undergraduate Study Committee of 6 members at a major university is to be formed from a pool of faculty of 18 men and 6 women. If the committee members are chosen randomly, what is the probability that precisely half of the members will be women?
Commission
Probability
$0
0.10
$500
0.25
$1000
0.35
$1500
0.30
Explanation / Answer
1)
Here , n = 4 , x = 3 , p = 0.55 , q = 1-p = 1-0.55 = 0.45
P( x = 3 ) = 0.2994
(2 )
9P3 = 504 and 8C5 = 56
4) The first roll total 5 : (2,3) , (3,2) , (1,4) , (4,1) , hence probability = 4/36 = 1/9
The second roll total 7 : (4,3) , (3,4) , (5,2) , (2,5) , (1,6) , (6,1) , hence probability = 6/36 = 1/6
The first roll totals 5 AND the second roll totals 7 , hence probability = 1/54 ( Independent events )
5)
(a)
a. Her expected monthly commission $925
b.If she is offered a job at a salary of $1100 per month, should she take it?
She should take the job at a salary of $1100 as it is more than her monthly commission.
7) If two events are collectively exhaustive, what is the probability that one or the other occurs?
Cannot be determined from the information
8) If two events are mutually exclusive, what is the probability that both occur at the same time?
Cannot be determined from the information
10) 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?
Poisson distribution
14) A probability distribution is an equation that
associates a particular probability of occurrence with each outcome in the sample space.
15) Which of the following about the binomial distribution is not a true statement?
The random variable of interest is continuous.
16) In a binomial distribution
the probability of success p is stable from trial to trial.
17) What type of probability distribution will the consulting firm most likely employ to analyze the insurance claims in the following problem?
An insurance company has called a consulting firm to determine if the company has an unusually high number of false insurance claims. It is known that the industry proportion for false claims is 3%. The consulting firm has decided to randomly and independently sample 100 of the company’s insurance claims. They believe the number of these 100 that are false will yield the information the company desires.
binomial distribution.
18) What type of probability distribution will most likely be used to analyze the number of chocolate chip parts per cookie in the following problem?
The quality control manager of Marilyn’s Cookies is inspecting a batch of chocolate chip cookies. When the production process is in control, the average number of chocolate chip parts per cookie is 6.0. The manager is interested in analyzing the probability that any particular cookie being inspected has fewer than 5.0 chip parts.
Poisson distribution.
19) A professor receives, on average, 24.7 e-mails from students the day before the midterm exam. To compute the probability of receiving at least 10 e-mails on such a day, he will use what type of probability distribution?
Poisson distribution.
20) A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts. Suppose the mean cost of rats used in lab experiments turned out to be $13.00 per week. Interpret this value.
The expected or average cost for all weekly rat purchases is $13.00.
21) P(x=3) = 0.0892
22) [ C(6,3) * C(18,3) ] / ( 24,6 ) = ( 20 * 816 ) / 134596 = 0.1212
Commision(x) Probability p(x) x*p(x) 0 0.1 0 500 0.25 125 1000 0.35 350 1500 0.3 450 Total 925Related Questions
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