The modeling and solution of problems concerning motel reservation networks for motels were studied. Researchers defined
Posted: Wed May 11, 2022 7:23 am
The modeling and solution of problems concerning motel
reservation networks for motels were studied. Researchers defined a
Type I call to be a call from a motel's computer terminal to
the national reservation center. For a certain motel,
the number, X, of Type 1 calls per hour has a Poisson
distribution with parameter
λ=1.4.
Complete parts (a) through (e) below.
Question content area bottom
Part 1
a. Determine the probability that the number of Type 1 calls
made from this motel during a period of 1 hour will be exactly
four.
The probability that exactly
four
Type 1
calls are
made is
enter your response here.
(Round to three decimal places as needed.)
Part 2
b. Determine the probability that the number of Type 1 calls
made from this motel during a period of 1 hour will be at most
three.
The probability that at most
three
Type 1 calls are made is
enter your response here.
(Round to three decimal places as needed.)
Part 3
c. Determine the probability that the number of Type 1 calls
made from this motel during a period of 1 hour will be at least
three.
(Hint: Use the complementation rule.)The probability that
at least
three
Type 1 calls are made is
enter your response here.
(Round to three decimal places as needed.)
Part 4
d. Find and interpret the mean of the random variable X.
The mean is
enter your response here
call(s) and therefore, there is/are
▼
at maximum
on average
at minimum
enter your response here
▼
reservation(s)
call(s)
per hour from
▼
a motel's reception desk
the national office
the national reservation center
a motel's computer terminal
to
▼
the national reservation center.
a motel's computer terminal.
the national office.
a motel's reception desk.
(Round to three decimal places as needed.)
Part 5
e. Find the standard deviation of the random variable X.
The standard deviation is
enter your response here
call(s).
(Round to three decimal places as needed.)
reservation networks for motels were studied. Researchers defined a
Type I call to be a call from a motel's computer terminal to
the national reservation center. For a certain motel,
the number, X, of Type 1 calls per hour has a Poisson
distribution with parameter
λ=1.4.
Complete parts (a) through (e) below.
Question content area bottom
Part 1
a. Determine the probability that the number of Type 1 calls
made from this motel during a period of 1 hour will be exactly
four.
The probability that exactly
four
Type 1
calls are
made is
enter your response here.
(Round to three decimal places as needed.)
Part 2
b. Determine the probability that the number of Type 1 calls
made from this motel during a period of 1 hour will be at most
three.
The probability that at most
three
Type 1 calls are made is
enter your response here.
(Round to three decimal places as needed.)
Part 3
c. Determine the probability that the number of Type 1 calls
made from this motel during a period of 1 hour will be at least
three.
(Hint: Use the complementation rule.)The probability that
at least
three
Type 1 calls are made is
enter your response here.
(Round to three decimal places as needed.)
Part 4
d. Find and interpret the mean of the random variable X.
The mean is
enter your response here
call(s) and therefore, there is/are
▼
at maximum
on average
at minimum
enter your response here
▼
reservation(s)
call(s)
per hour from
▼
a motel's reception desk
the national office
the national reservation center
a motel's computer terminal
to
▼
the national reservation center.
a motel's computer terminal.
the national office.
a motel's reception desk.
(Round to three decimal places as needed.)
Part 5
e. Find the standard deviation of the random variable X.
The standard deviation is
enter your response here
call(s).
(Round to three decimal places as needed.)