Question
In: Statistics and Probability
An automobile manufacturer has determined that 30% of all gas tanks that were installed on its...
An automobile manufacturer has determined that 30% of all gas tanks that were installed on its 2007 compact model are defective.
a. If 15 of the cars are recalled, what is the expected number (mean) that will need new gas tanks?
b. If 15 of the cars are recalled, what is the standard deviation of the number of defective gas tanks?
Use Binomial Tables in your text to answer the following:
c. If 15 of the cars are recalled, what is the probability that 10 of the 15 will need new gas tanks?
d. If 15 of the cars are recalled what is the probability that fewer than 3 of the 15 will need new gas tanks?
Solutions
Expert Solution
Solution:
a. If 15 of the cars are recalled, what is the expected number (mean) that will need new gas tanks?
Answer: 
b. If 15 of the cars are recalled, what is the standard deviation of the number of defective gas tanks?
Answer: 
Use Binomial Tables in your text to answer the following:
c. If 15 of the cars are recalled, what is the probability that 10 of the 15 will need new gas tanks?
Answer: Using the binomial table, we have:
Therefore, the probability that 10 of the 15 will need new gas tanks is 0.0030
d. If 15 of the cars are recalled what is the probability that fewer than 3 of the 15 will need new gas tanks?
Answer:
Therefore, the probability that fewer than 3 of the 15 will need new gas tanks is 0.1268
Binomial table:
orchestra answered 1 year agoRelated Solutions
An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles...
An automobile manufacturer who wishes to advertise that one of
its models achieves 30 mpg (miles per gallon) decides to carry out
a fuel efficiency test. Six nonprofessional drivers were selected,
and each one drove a car from Phoenix to Los Angeles. The resulting
fuel efficiencies (in miles per gallon) are given below.
27.3
29.4
31.2
28.4
30.2
29.6
Assuming that fuel efficiency is normally distributed under
these circumstances, do the data contradict the claim that true
average fuel efficiency...
A popular U.S. automobile manufacturer has 10,000 dealerships located throughout the country. The automobile manufacturer has...
A popular U.S. automobile manufacturer has 10,000 dealerships
located throughout the country. The automobile manufacturer has
multiple brands within itsportfolio: a value brand that caters to
younger clientele, a moderate brand that caters to middle class
customers and finally, a premium brand which is marketed to
wealthy clientele. The company's leadership, located at corporate
headquarters, is very interested in the relationship between the
median salary of potential customers and the company's revenue.
Specifically, the company is concerned that if potential...
Fork Motor Company is an automobile manufacturer operating in the US. It has divided its market...
Fork Motor Company is an automobile manufacturer operating in
the US.
It has divided its market into three regions and has built three
regional distribution centers (RDC) to serve these markets. The
RDCs are located in California, Florida and Texas.
The annual demand at each regional distribution center is
estimated as follows and the company wants to meet all the
demand.
- RDC – California: 1.5M automobiles (i.e., 1.5 million)
- RDC – Florida: 0.5M automobiles
- RDC – Texas:...
A manufacturer of automobile batteries claims that the distribution of the lengths of life of its...
A manufacturer of automobile batteries claims that the
distribution of the lengths of life of its battery has mean of 54
months and a standard deviation of 6 months. Recently manufacturer
has received a rash of complaints from unsatisfied customers whose
batteries have died earlier than expected. Suppose a consumer group
decides to check the manufacturer’s claim by purchasing a sample of
50 of these batteries and subjecting them to test that determine
battery life. Assuming that the manufacturer claim...
A car insurance company has determined that 7% of all drivers were involved in a car...
A car insurance company has determined that 7% of all drivers
were involved in a car accident last year. Among the 11 drivers
living on one particular street, 3 were involved in a car accident
last year. If 11 drivers are randomly selected, what is the
probability of getting 3 or more who were involved in a car
accident last year? Group of answer choices 0.0317 0.0370 0.9683
0.481
The Kingdom of Monkey has determined that the demand for the country’s automobile tires is given...
The Kingdom of Monkey has determined that the demand for the
country’s automobile tires is given by QD = 3,200 -25P,
where Q = the number of tourists served each month and P is the
price per roundtrip tour on a river boat for each couple. The
supply of romantic river-boat tours is given by QS = 15P
- 800
What is the Demand Intercept?
The Kingdom of Monkey has determined that the demand for the country’s automobile tires is given...
The Kingdom of Monkey has determined that the demand for the
country’s automobile tires is given by QD = 3,200 -25P, where Q =
the number of tourists served each month and P is the price per
roundtrip tour on a river boat for each couple. The supply of
romantic river-boat tours is given by QS = 15P - 800
What is the Supply Choke price?
An automobile manufacturer claims that the new model gets an average of 30 miles per gallon...
An automobile manufacturer claims that the new model gets an
average of 30 miles per gallon on the highway, with a standard
deviation of 5 miles. However, when a consumer group drove 100 cars
on the highways. the group found the average mileage was 28.5
miles. what can the consumer group assert with 99% confidence?
check your answer with the p-value test?
An automobile manufacturer claims that its van has a 26.3 miles/gallon (MPG) rating. An independent testing...
An automobile manufacturer claims that its van has a 26.3
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this van since it is believed that
the van has an incorrect manufacturer's MPG rating. After testing
250 vans, they found a mean MPG of 26.7. Assume the
variance is known to be 6.76. A level of significance of
0.1 will be used. State the hypotheses.
Ho:
Ha:
An automobile manufacturer claims that its van has a 38.4 miles/gallon (MPG) rating. An independent testing...
An automobile manufacturer claims that its van has a 38.4
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this van since it is believed that
the van has an incorrect manufacturer's MPG rating. After testing
240 vans, they found a mean MPG of 38.1. Assume the standard
deviation is known to be 2.0. A level of significance of 0.05 will
be used. Find the value of the test statistic. Round your answer to...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Young and Company claims that its pressurized diving bell will, on average, maintain its integrity to...
- 1) Alternative compiled code sequence using instructions in classes A, B, C. What is the average...
- An asset is purchased on January 1 for $48,700. It is expected to have a useful...
- Do we have any online or offline tool to convert c and cpp programs into MIPS...
- -what is the pH of HCl 0,1M and NaCl 0,1M mixed together solution? -What is the...
- function X=extractDWT(x_train,startS,endS,wStep,wRange) % x_train = input signal % startS = from second % endS = end...
- Do you agree that Social Loafing is similar to Theory X. Give an example to support...
ADVERTISEMENT