Question

The occurrence of crashes of a computer is occurring according to a homogeneous Poisson process (HPP)...

The occurrence of crashes of a computer is occurring according to a homogeneous Poisson process (HPP) with a rate of λ = 3 per month.

(a) What is the probability that in a span of two months, the computer will crash at least 6 times?

(b) What is the probability that in a two-month period, the computer will not crash at all?

(c) What is the probability that the first crash will occur after 0.5 months?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Accondeu to Pat, son Destelaulionき- XI Given λ=3 216 + 1296 7776 120 2 6 24 = e-6 * 179-8 D/60 -60- o rash in 0.5 months λ#3.fermonun, as t-s Per os mentos Of

Add a comment
Know the answer?
Add Answer to:
The occurrence of crashes of a computer is occurring according to a homogeneous Poisson process (HPP)...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • An article suggests that a Poisson process can be used to represent the occurrence of structural...

    An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.5 year. For every single part, clearly define the random variable of interest using the context of this problem. (Hint: We are given that the mean time between occurrences of loads is 0.5 year. It is not the λ value to be used in Poisson process since it is the mean time...

  • Exercises 3-8 all refer to events occurring in time according to a Poisson process with parameter...

    Exercises 3-8 all refer to events occurring in time according to a Poisson process with parameter λ on 0 š t < oo. Here x(t) denotes the number of events that occur in the time interval (0, t] 3 Find the conditional probability that there are m events in the first s units of time, given that there are n events in the first t units of time, where 0 s m < n and 0 s s < t.

  • A computer network experiences attacks according to a Poisson process, at an average rate of 0.5...

    A computer network experiences attacks according to a Poisson process, at an average rate of 0.5 attacks per week. Let the random variable X measure the number of weeks until the network experiences its first attack. What is the probability the first attack will occur after the second week. That is to say, what is P(X 2) Round your answer to four decimal places. Answer: Save response

  • 1. The number of breakdowns of a computer network follows a Poisson process with rate α...

    1. The number of breakdowns of a computer network follows a Poisson process with rate α = 0.2 breakdowns per week. This means the number of breakdowns during a period of t weeks is a Poisson random variable with parameter λ = 0.2t. (a) What is the probability that exactly 3 breakdowns are to occur during a 10-week period? (b) What is the probability that at least 2 breakdowns are to occur in next 10 weeks? (c) How many breakdowns...

  • An article suggests that a Poisson process can be used to represent the occurrence of structural...

    An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.5 year. (a) How many loads can be expected to occur during a 2-year period? loads (b) What is the probability that more than seven loads occur during a 2-year period? (Round your answer to three decimal places.) (c) How long must a time period be so that the probability of no...

  • Poisson process can be used to represent the occurrence of structural loads over time. Suppose the...

    Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.59 year. (a) How many loads can be expected to occur during 5.08 3 year period? (b) What the probability that more than five loads occur during a 3 year period? (c) How long must a time period be so that the probability of no loads occurring during that period is at most 0.10? X year Poisson...

  • An article suggests that a Poisson process can be used to represent the occurrence of structural...

    An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.5 year. (a) How many loads can be expected to occur during a 4-year period? loads (b) What is the probability that more than nine loads occur during a 4-year period? (Round your answer to three decimal places.) (c) How long must a time period be so that the probability of no...

  • An article suggests that a Poisson process can be used to represent the occurrence of structural...

    An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.4 year. (a) How many loads can be expected to occur during a 4-year period? loads (b) What is the probability that more than twelve loads occur during a 4-year period? (Round your answer to three decimal places.) (c) How long must a time period be so that the probability of no...

  • An article suggests that a Poisson process can be used to represent the occurrence of structural...

    An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.4 year. (a) How many loads can be expected to occur during a 2-year period?  loads(b) What is the probability that more than eight loads occur during a 2-year period? (Round your answer to three decimal places.)  (c) How long must a time period be so that the probability of no loads occurring during...

  • Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that,...

    Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that, λ(t)-0.5 calls/hr for 0<ts? hr, λ (t)-0.9 calls/hr for 7<ts17 hr, and λ(t)-1.3 calls/hr for 17<ts24. a. Find the probability that there are no calls between 6 am and 8 am. b. Find the probability that there are at most 2 calls before noon. c. What is the probability that there is exactly one call between 4:50 pm and 5:10 pm? d. What is...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT