Question

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 the morning. Round your answer to four decimal places.

Answer #1

**Answer:-**

**Given
that:-**

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 the morning.

use Poisson distribution

Probability of getting atleast 1 call between eight and nine in the morning is

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 no more than 1 call between eight and nine
in the morning. Round your answer to four decimal places.

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.

The number of calls received by an office on Monday morning
between 8:00 AM and 9:00 AM has a mean of 7. Calculate the
probability of getting more than 3 calls between eight and nine in
the morning. Round your answer to four decimal places.

The number of calls received by an office on Monday morning
between 8:00 AM and 9:00 AM has a mean of 7 . Calculate the
probability of getting no more than 2 calls between eight and nine
in the morning. Round your answer to four decimal places.

. 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...

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.

Hillary's answering machine receives about 10 telephone calls
between 8 a.m. and 10 a.m. What is the probability that Hillary
receives exactly one phone call between 9:00 am and 9:15 am?

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.)...

You have been informed that the assessor will visit your home
sometime between 10:00 am and 12:00 pm. It is reasonable to assume
that his visitation time is uniformly distributed over the
specified two-hour interval. Suppose you have to run a quick errand
at 10:00 am.
a. If it takes 15 minutes to run the errand, what
is the probability that you will be back before the assessor
visits? (Round intermediate calculations to at least 4
decimal places and final...

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