Math

ProbabilityQ&A LibraryCars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hourSuppose that the probability is p 0.3 that an arriving car will have no equipment violations(a) What is the probability that exactly 8 cars arrive during the hour and all 8 have no violations?(b) For any fixed number x > 8, what is the probability that x arrive during the hour of which 8 have noviolation?(c) What is the probability that 8 "no-violation" cars arrive during the next hour?Question

Asked Nov 6, 2019

24 views

Step 1

**Poisson Arrival process:**

The probability *Px *of x packet arrivals in a time interval α is given by:

Step 2

**(a)Computing the probability that exactly 8 cars arrive during the hour and all 8 have no violations.**

Step 3

**b) Computing the probability that x arrive during the hou...**

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Which of the following numbers are inside the event ?=[2,4]⋃[5,8]? (Select all that apply.) A. (62/3...

A: Given Interval[2,4] ⋃[5,8]a)62/35 = 1.77 lies in the interval [2,4]b)41/22 = 1.86 lies in the interv...

Q: Which of the following numbers are inside the event ?=[2,4]⋃[5,8]E=[2,4]⋃[5,8]? (Select all that app...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Given that P(A) = 0.42, P(B) = 0.04, and P(A and B) = 0.0168, are events A and B independent?

A: It is given that P(A)=0.42, P(B)=0.04, and P(A and B)=0.0168.

Q: A bag of marbles has 8 green, 10 red, and 5 blue marbles. One marble is drawn from the bag (no peeki...

A: Introduction:The probability of an event A is the number of cases favorable to A, n (A), divided by ...

Q: Police response time to an emergency call is the difference between the time the call is first recei...

A: We use the formula for a standardized Z-value: Z=(X−μ)/ σ where Z= the standardized Z-score X= the d...

Q: following Normal distribution with u = 100 and standard deviation o = 15. What is the Probability th...

A: Given DataMean = 12Standard deviation = 3probability that X-value selected at randomly from this dis...

Q: 6.24 Female heights The normal distribution for women's height in North America hasu inches. Most ma...

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is ...

Q: Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winnin...

A: From the given information,Probability of wining lottery is = 1/1000.Probability of not wining lotte...

Q: An election ballot asks voters to select five city commissioners from a group of fourteen candidates...

A: It is provided that in an election 5 city commissioners are selected from a group of 14 candidates.