Question
In: Statistics and Probability
1 ) If a flight is on time 90% of the time, use a normal approximation...
1 ) If a flight is on time 90% of the time, use a normal approximation to the binomial to find the probability that between 175 and 190 out of a total of 200 flights will be on time.
2)- In a study done by Statistics Weekly, they found that 12% of people believe that there will eventually be a zombie apocalypse. Suppose we have a random sample of 500, would it be unusual to find 43 people who believe that there will eventually be a zombie apocalypse. Would it be unusual to find 70 people who believe that there will eventually be a zombie apocalypse?
in detail please
Solutions
Expert Solution
1) The normal approximation to Binomial distribution 
is 
.
The approximate distribution of number of flights on time is
The probability,
2) The normal approximation to the number of people
who believe that there will eventually be a zombie
apocalypse is
The probability,
Since this probability is less than 0.05, it would be unusual to find 43 people who believe that there will eventually be a zombie apocalypse.
Similarly, for 
,
Since this probability is less than 0.05, it would be unusual to find 70 people who believe that there will eventually be a zombie apocalypse.
orchestra answered 1 year agoRelated Solutions
1 ) If a flight is on time 90% of the time, use a normal approximation...
1 ) If a flight is on time 90% of the time, use a normal
approximation to the binomial to find the probability that between
175 and 190 out of a total of 200 flights will be on time.
2)- In a study done by Statistics Weekly, they found that 12% of
people believe that there will eventually be a zombie apocalypse.
Suppose we have a random sample of 500, would it be unusual to find
43 people who believe...
1. In the following problem, check that it is appropriate to use the normal approximation to...
1. In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities
It is estimated that 3.4% of the general population will live past
their 90th birthday. In a graduating class of 750 high school
seniors, find the following probabilities. (Round your answers to
four decimal places.)
(a) 15 or more will live beyond their 90th birthday
(b) 30 or more will live beyond...
1.Which of the following scenarios would it be appropriate to use a normal approximation for the...
1.Which of the following scenarios would it be appropriate to
use a normal approximation for the sampling distribution of the
sample proportion?
Select one:
a.) A researcher wishes to find the probability that more than
60% of a sample of undergraduate students from UNC will be female.
She samples the first 42 students that walk into the gym on Monday
morning. The population proportion of undergraduate females at UNC
is known to be 60.1%.
b.)A researcher wishes to find the...
A certain flight arrives on time 90 percent of the time. Suppose 185 flights are randomly...
A certain flight arrives on time 90 percent of the time. Suppose
185 flights are randomly selected. Use the normal approximation to
the binomial to approximate the probability that (a) exactly 170
flights are on time. (b) at least 170 flights are on time. (c)
fewer than 174 flights are on time. (d) between 174 and 178,
inclusive are on time.
A certain flight arrives on time 90 percent of the time. Suppose 171 flights are randomly...
A certain flight arrives on time
90
percent of the time. Suppose
171
flights are randomly selected. Use the normal approximation to
the binomial to approximate the probability that
(a) exactly
152
flights are on time.
(b) at least
152
flights are on time.
(c) fewer than
143
flights are on time.
(d) between
143
and
153
,
inclusive are on time.
(a)
P(152
)equalsnothing
(Round to four decimal places as needed.)
(b)
P(Xgreater than or equals
152)equalsnothing
(Round to...
(1 point) Use the Normal Approximation to the Binomial Distribution to compute the probability of passing...
(1 point) Use the Normal Approximation to the Binomial
Distribution to compute the probability of passing a true/false
test of 40 questions if the minimum passing grade is 90% and all
responses are random guesses.
In the following problem, check that it is appropriate to use the normal approximation to the...
In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
Do you try to pad an insurance claim to cover your deductible?
About 43% of all U.S. adults will try to pad their insurance
claims! Suppose that you are the director of an insurance
adjustment office. Your office has just received 140 insurance
claims to be processed in the next few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
Do you try to pad an insurance claim to cover your deductible?
About 39% of all U.S. adults will try to pad their insurance
claims! Suppose that you are the director of an insurance
adjustment office. Your office has just received 126 insurance
claims to be processed in the next few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities. Do you try to
pad an insurance claim to cover your deductible? About 40% of all
U.S. adults will try to pad their insurance claims! Suppose that
you are the director of an insurance adjustment office. Your office
has just received 120 insurance claims to be processed in the next
few days. Find...
In the following problem, check that it is appropriate to use the normal approximation to the...
In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
Do you try to pad an insurance claim to cover your deductible?
About 36% of all U.S. adults will try to pad their insurance
claims! Suppose that you are the director of an insurance
adjustment office. Your office has just received 140 insurance
claims to be processed in the next few days. Find...
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