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9 Sep 2020
A European growth mutual fund specializes in stocks from the
British Isles, continental Europe, and Scandinavia. The fund has
over 475 stocks. Let
be a random variable that
represents the monthly percentage return for this fund. Suppose
has mean
= 1.6% and standard deviation
= 1.2%.
(a) Let's consider the monthly return of the stocks in the fund
to be a sample from the population of monthly returns of all
European stocks. Is it reasonable to assume that
(the
average monthly return on the 475 stocks in the fund) has a
distribution that is approximately normal? Explain.
----- Yes ,
is a mean of a sample of
= 475
stocks. By the --central limit theory--- central limit
theorem law of large numbers , the
distribution --is not approximately normal.
(b) After 9 months, what is the probability that the
monthly percentage return
will be
between 1% and 2%? (Round your answer to four decimal
places.)_______________
(c) After 18 months, what is the probability that the
monthly percentage return
will be
between 1% and 2%? (Round your answer to four decimal
places.)________________
(d) Compare your answers to parts (b) and (c). Did the probability
increase as
(number of months) increased? Why would this
happen?
(e) If after 18 months the average monthly percentage return
is more than 2%, would that tend to shake your
confidence in the statement that
= 1.6%? If this
happened, do you think the European stock market might be heating
up? (Round your answer to four decimal places.)
(
> 2%) = _________________
Explain.
This is very unlikely if
= 1.6%. One would suspect
that the European stock market may be heating up.
This is very likely if
= 1.6%. One would not suspect
that the European stock market may be heating
up.
This is very likely if
= 1.6%. One would suspect that
the European stock market may be heating up.
This is very unlikely if
= 1.6%. One would not
suspect that the European stock market may be heating up.
12) The taxi and takeoff time for commercial jets is a random
variable
with a mean of 8.5 minutes and a standard
deviation of 2.5 minutes. Assume that the distribution of taxi and
takeoff times is approximately normal. You may assume that the jets
are lined up on a runway so that one taxies and takes off
immediately after the other, and that they take off one at a time
on a given runway.
(a) What is the probability that for 33 jets on a given runway,
total taxi and takeoff time will be less than 320 minutes? (Round
your answer to four decimal places.)_________
(b) What is the probability that for 33 jets on a given runway,
total taxi and takeoff time will be more than 275 minutes? (Round
your answer to four decimal places.)_________
(c) What is the probability that for 33 jets on a given runway,
total taxi and takeoff time will be between 275 and 320 minutes?
(Round your answer to four decimal places.)______________
A European growth mutual fund specializes in stocks from the
British Isles, continental Europe, and Scandinavia. The fund has
over 475 stocks. Let
be a random variable that
represents the monthly percentage return for this fund. Suppose
has mean
= 1.6% and standard deviation
= 1.2%.
(a) Let's consider the monthly return of the stocks in the fund
to be a sample from the population of monthly returns of all
European stocks. Is it reasonable to assume that
(the
average monthly return on the 475 stocks in the fund) has a
distribution that is approximately normal? Explain.
----- Yes ,
is a mean of a sample of
= 475
stocks. By the --central limit theory--- central limit
theorem law of large numbers , the
distribution --is not approximately normal.
(b) After 9 months, what is the probability that the
monthly percentage return
will be
between 1% and 2%? (Round your answer to four decimal
places.)_______________
(c) After 18 months, what is the probability that the
monthly percentage return
will be
between 1% and 2%? (Round your answer to four decimal
places.)________________
(d) Compare your answers to parts (b) and (c). Did the probability
increase as
(number of months) increased? Why would this
happen?
(e) If after 18 months the average monthly percentage return
is more than 2%, would that tend to shake your
confidence in the statement that
= 1.6%? If this
happened, do you think the European stock market might be heating
up? (Round your answer to four decimal places.)
(
> 2%) = _________________
Explain.
This is very unlikely if
= 1.6%. One would suspect
that the European stock market may be heating up.
This is very likely if
= 1.6%. One would not suspect
that the European stock market may be heating
up.
This is very likely if
= 1.6%. One would suspect that
the European stock market may be heating up.
This is very unlikely if
= 1.6%. One would not
suspect that the European stock market may be heating up.
12) The taxi and takeoff time for commercial jets is a random
variable
with a mean of 8.5 minutes and a standard
deviation of 2.5 minutes. Assume that the distribution of taxi and
takeoff times is approximately normal. You may assume that the jets
are lined up on a runway so that one taxies and takes off
immediately after the other, and that they take off one at a time
on a given runway.
(a) What is the probability that for 33 jets on a given runway,
total taxi and takeoff time will be less than 320 minutes? (Round
your answer to four decimal places.)_________
(b) What is the probability that for 33 jets on a given runway,
total taxi and takeoff time will be more than 275 minutes? (Round
your answer to four decimal places.)_________
(c) What is the probability that for 33 jets on a given runway,
total taxi and takeoff time will be between 275 and 320 minutes?
(Round your answer to four decimal places.)______________
gem505Lv10
22 Jan 2023
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