The modeling and solution of problems concerning motel reservation networks for motels were studied. Researchers defined

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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.)