Question

The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 5. Calculate the probability of getting no more than 1 call between eight and nine in the morning. Round your answer to four decimal places.

Answer #1

**Solution:**

Given:

x = The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 5.

thus x follows Poisson distribution with parameter

We have to find the probability of getting no more than 1 call between eight and nine in the morning.

that is find:

The number of calls received by an office on Monday morning
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probability of getting no more than 2 calls between eight and nine
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The number of calls received by an office on Monday morning
between 8:00 AM and 9:00 AM has a mean of 6. Calculate the
probability of getting at least 1 call between eight and nine in
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. A hotel’s reservation center receives 180 calls on average
from 9:00 AM – 10:00 AM, and the number of calls in that hour can
be modeled by a Poisson random variable. (a) (8 pts) Find the
probability that more than one call come in the one-minute period
9:26 AM – 9:27 AM. (b) (8 pts) Find the probability that the first
call after 9:00 AM actually comes in after 9:02 AM.

A random sample of nine telephone calls in an office provided
the following information.
Call Number
Duration
(In Minutes)
Type of Call
1
3
local
2
8
long distance
3
4
local
4
4
local
5
5
long distance
6
6
local
7
3
local
8
7
local
9
8
local
a. Determine the point estimate for the average duration of all
calls rounded to three decimal places.
b. What is the point estimate for the standard deviation of the...

Hillary's answering machine receives about 10 telephone calls
between 8 a.m. and 10 a.m. What is the probability that Hillary
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The number of hits to a website follows a Poisson process. Hits
occur at the rate of 1.8 per minute between 7:00 P.M. and 9:00
P.M. Given below are three scenarios for the number of hits to the
website. Compute the probability of each scenario between 7 : 43
P.M. and 7:48 P.M.
Interpret each result.
(a) exactly eight (
b) fewer than eight
(c) at least eight
(a) P(8) =______ (Round to four decimal places as
needed.)...

2. The average number of calls received by a switchboard in a
30-minute period is 5.
a. What is the probability that between 10:00 and 10:30 the
switchboard will receive exactly 6 calls?
b. What is the probability that between 10:00 and 10:30 the
switchboard will receive exactly 8 calls?
Please type or do not answer thank you! I have trouble
reading written math.

1. Suppose the expected number of customers entering a
department store between 9 AM and 10 AM is 60.
a. What is the probability that exactly 1 customer enters
between 9:00 and 9:01 ?
b. What is the probability that exactly 2 customers enter
between 9:00 and 9:02 ?
c. What is the probability that exactly 2 customers enter
between 9:00 and 9:01 GIVEN THAT exactly two customers enter
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