Question
In: Statistics and Probability
A certain type of toy-cars requires three AAA batteries, and the toy-cars will work only if...
A certain type of toy-cars requires three AAA batteries, and the toy-cars will work only if all its batters have acceptable voltages. Assume that all the toy-cars contain batteries from the same supplier and that 90% of all batteries from this supplier have acceptable voltages.
- What is the probability that a randomly selected toy-car is in working condition?
Now, in order to test the acceptance of the toy-cars from the same supplier, a quality control engineer randomly selects 10 toy-car from a lot. Suppose every selection are independent and X is a random variable showing the number of acceptable toy-cars out of 10.
- What is the probability that among 10 randomly selected toy-cars that exactly half will work?
- What is the probability that at least 2 toy-cars are functional out of 10?
- What is the expected number of toy-cars that are acceptable? Interpret its meaning in the context of this problem.
- What is standard deviation of toy-cars that are acceptable?
Solutions
orchestra answered 1 year agoRelated Solutions
Power+, produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows...
Power+, produces AA batteries used in remote-controlled toy
cars. The mean life of these batteries follows the normal
probability distribution with a mean of 27 hours and a standard
deviation of 4.1 hours. As a part of its testing program, Power+
tests samples of 25 batteries. Use Appendix B.1 for the z-values.
a. What can you say about the shape of the distribution of sample
mean? Shape of the distribution is b. What is the standard error of
the distribution...
Power+, produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows...
Power+, produces AA batteries used in remote-controlled toy
cars. The mean life of these batteries follows the normal
probability distribution with a mean of 33 hours and a standard
deviation of 5.2 hours. As a part of its testing program, Power+
tests samples of 36 batteries. Use Appendix B.1 for the
z-values.
a. What can you say about the shape of the distribution of
sample mean?
Shape of the distribution is:
b. What is the standard error of the distribution...
Power+, produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows...
Power+, produces AA batteries used in remote-controlled toy
cars. The mean life of these batteries follows the normal
probability distribution with a mean of 27 hours and a standard
deviation of 4.1 hours. As a part of its testing program, Power+
tests samples of 25 batteries. Use Appendix B.1 for the z-values.
a. What can you say about the shape of the distribution of sample
mean? Shape of the distribution is b. What is the standard error of
the distribution...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...
Power +, Inc. produces AA batteries used in remote-controlled
toy cars. The mean life of these batteries follows the normal
probability distribution with a mean of 38 hours and a standard
deviation of 5.4 hours. As a part of its quality assurance program,
Power +, Inc. tests samples of 9 batteries. What can you say about
the shape of the distribution of the sample mean? What is the
standard error of the distribution of the sample mean? (Round your
answer...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...
Power +, Inc. produces AA batteries used in remote-controlled
toy cars. The mean life of these batteries follows the normal
probability distribution with a mean of 37 hours. hours and a
standard deviation of 5.9 hours. As a part of its quality assurance
program, Power +, Inc. tests samples of 9 batteries.
a.
What can you say
about the shape of the distribution of the sample mean?
Sample mean
b.
What is the standard error of the distribution...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...
Power +, Inc. produces AA batteries used in remote-controlled
toy cars. The mean life of these batteries follows a normal
distribution with a mean of 36 hours and a standard deviation of
5.5 hours. As a part of its quality assurance program, Power +,
Inc. tests samples of 9 batteries.
a.
What can you say about the shape of the distribution of the
sample mean?
Sample mean
(Click to select)NormalUniformBinomial
Round answers to four decimal places.
b.
What...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...
Power +, Inc. produces AA batteries used in remote-controlled
toy cars. The mean life of these batteries follows a normal
distribution with a mean of 36 hours and a standard deviation of
5.3 hours. As a part of its quality assurance program, Power +,
Inc. tests samples of 9 batteries.
a.
What can you say about the shape of the distribution of the
sample mean?
Sample mean
(Click to
select) Normal Uniform Binomial
Round answers to four decimal places.
b.
What...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...
Power +, Inc. produces AA batteries used in remote-controlled
toy cars. The mean life of these batteries follows the normal
probability distribution with a mean of 37 hours and a standard
deviation of 5.5 hours. As a part of its quality assurance program,
Power +, Inc. tests samples of 25 batteries.
What can you say about the shape of the distribution of the
sample mean?
What is the standard error of the distribution of the sample
mean? (Round your answer...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...
Power +, Inc. produces AA batteries used in remote-controlled
toy cars. The mean life of these batteries follows the normal
probability distribution with a mean of 37 hours and a standard
deviation of 5.5 hours. As a part of its quality assurance program,
Power +, Inc. tests samples of 9 batteries
a.What can you say about the shape of the distribution of the
sample mean?
b.What is the standard error of the distribution of the sample
mean? (Round your answer...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...
Power +, Inc. produces AA batteries used in remote-controlled
toy cars. The mean life of these batteries follows the normal
probability distribution with a mean of 36 hours and a standard
deviation of 5.5 hours. As a part of its quality assurance program,
Power +, Inc. tests samples of 9 batteries.
What can you say about the shape of the distribution of the
sample mean?
What is the standard error of the distribution of the sample
mean? (Round your answer...
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