Question

(a) It is observed ina communication channel that 90%of the messages sent are received without any error. Find the probability that among 18messages sent through the channel,at least 16are received without any error.

b) The number of visitors toa webpage per minute follows a Poisson distribution. If the average number of visitors per minute is 4, what is the probability that the webpage receives at least 2visitors in one minute.

Answer #1

Suppose that you have received 100 email messages 90 of which
are genuine and
10 are spam. Suppose that your email server runs a spam filtering
software that
classified the above email messages as follows.
• Out of the the 90 genuine messages 88 classified as genuine but 2
are wrongly
flagged as spam.
• The probability of correct classification of a message is at
least 97%
Using the above data, please answer the three questions below. Each
answer must...

Consider a noisy communication channel, where each bit is
flipped with probability p (the probability that a bit is sent in
error is p). Assume that n−1 bits, b1,b2,⋯,b(n−1), are going to be
sent on this channel. A parity check bit is added to these bits so
that the sum b1+b2+⋯+bn is an even number. This way, the receiver
can distinguish occurrence of odd number of errors, that is, if
one, three, or any odd number of errors occur, the...

A binary communication channel transmits a sequence of "bits"
(0s and 1s). Suppose that for any particular bit transmitted, there
is a 15% chance of a transmission error (a 0 becoming a 1 or a 1
becoming a 0). Assume that bit errors occur independently of one
another. (Round your answers to four decimal places.)
(a)
Consider transmitting 1000 bits. What is the approximate
probability that at most 165 transmission errors occur?
(b)
Suppose the same 1000-bit message is sent...

There is a chance that a bit transmitted through a digital
transmission channel is received in error. Let X equal the
number of bits in error in the next three bits transmitted. Suppose
that the performed experiment on the entire population gives the
probability distribution below,
x
0
1
2
3
P(X=x)
0.656
0.292
0.049
0.003
Find
a)The cdf of X, and graph it
x < 0
0 ? x < 1
1 ? x < 2
2 ? x...

A call centre receives, on average, 10 calls per minute. The
highest number of calls received in any minute is 15. For any
randomly selected minute, find the probability that they will
receive:
i. At least 13 calls
ii. At most 2 calls
iii. 7 to 9 calls
iv. Find the Mean, Variance and Standard Deviation of the
distribution
show all working

According to the Centers for Medicare & Medicaid Services,
16% of nursing homes received five stars in overall ratings in
2011. A random sample of six nursing homes was selected. What is
the probability that two or three of them received five stars?
Question 7 options: 0.1310 0.2019 0.2398 0.4350
Question 8) Assume that the number of pieces of junk mail per
day that a person receives in their mail box follows the Poisson
distribution and averages 3.5 pieces per...

can you please work on this assignment because I am having some
issues with it. I have it completed I would just like to know if
everything is correct.
DISCRETE PROBABILITY DISTRIBUTIONS
(3 points) The number of hits on a certain
website follows a Poisson distribution with a mean rate of 4 per
minute.
What is the probability that 5 messages are received in a given
minute? 0.1563
What is the probability that 9 messages are received in 1.5
minutes?...

Question 1
The travel agency Paradise Retreats has developed a model to
predict the price per night of holiday apartment rentals in the
coast of Croatia:
?=550+11?1−5?2
?: price of the apartment per night (in kunas)
?1: area of the apartment (in square meters)
?2: distance to the beach (in km)
According to Paradise Retreats’ model:
How much more expensive (in kunas) will be the rental of a 60
square-meter apartment on the beachfront compared with a 60
square-meter apartment...

***I do not need any of the figures, calculations or forums
done, I am in need of help for the written part of Week 7: Final
Submission. I am very weak when it comes to writing and could use
some guidance. Below I will list the 3 situations for your help.
Thanks! Week 7: Final Submission Recommendations This week you will
resubmit the updated tax preparation forms based on your manager’s
(instructor’s) feedback. Along with this documentation, you will
submit...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

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