Question

(a) It is observed ina communication channel that 90%of the messages sent are received without any...

(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.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that you have received 100 email messages 90 of which are genuine and 10 are...
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...
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...
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...
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...
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
A​ toll-free phone number is available from 9 a.m. to 9 p.m. for your customers to...
A​ toll-free phone number is available from 9 a.m. to 9 p.m. for your customers to register complaints about a product purchased from your company. Past history indicates that an average of 0.3 calls are received per minute. Complete parts​ (a) through​ (d). a. What properties must be true about the situation described here in order to use the Poisson distribution to calculate probabilities concerning the number of phone calls received in a? 1-minute period? Select all the assumptions for...
According to the Centers for Medicare & Medicaid Services, 16% of nursing homes received five stars...
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...
a) Phone calls are received at Diana’s house at the rate of λ = 3 per...
a) Phone calls are received at Diana’s house at the rate of λ = 3 per hour. If Diana takes a 20 minute shower, what is the probability that she will receive at least one phone call during the shower. You can assume that the number of phone calls in any given time interval has a Poisson distribution b) Let X be a random variable with E(X) = 0 and E(X2^2) = 2. Then what statement can you make about...
can you please work on this assignment because I am having some issues with it. I...
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...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT