Question

Suppose that in a city, the number of suicides can be approximated by a poisson process...

Suppose that in a city, the number of suicides can be approximated by a poisson process with \lambda= .11 per day and use 1 year = 365 days.

(a) Starting from time 0 (using "year" as the unit of time), what us the distribution of T1= time until the next suicide? of T5 = time until the fifth suicide ? write down pdf for each of these random variables.

(b) Find the chance that it takes at least .5 year until the fifth suicide and the chance that it takes at least 1.0 year until the fifth suicide.

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

Soll - If arrival (f) follows Poissien distribution then inter arriva folloust exponential dist with Parameter Te is interarrP (ts) = (0.115 tu é o 11t5 15 ABS = (PCt2 dt = using using = 166-115 (tse ollts at 0.5 5 - 0.5235 Ti > PC + > ,]= 8 pc hdt -

Add a comment
Know the answer?
Add Answer to:
Suppose that in a city, the number of suicides can be approximated by a poisson process...
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
  • PROBLEM 2 The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 acc...

    PROBLEM 2 The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 accidents per day. Suppose that the number of accidents in different days are independent. Use the central limit theorem to find the probability that there will be more than 3800 accidents in a certain year. Assume that there are 365 days in a year.

  • C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops...

    Question D C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops in between. The bus is perfectly punctual and arrives at Stop A at precise five minute intervals (6:00, 6:05, 6:10, 6:15, etc.) day and night, at which point it immediately picks up all passengers waiting. Citizens of Regular Bus City arrive at Stop A at Poisson random times, with an average of 5 passengers arriving every minute,...

  • Q2 Multiple Choice You are going fishing. For each of the following random variables, select the...

    Q2 Multiple Choice You are going fishing. For each of the following random variables, select the distribution (Binomial, Geometric, Poisson, Exponential, or Normal) that best characterizes or approximates it. Q2.1 You catch an expected number of 1.5 fish per hour. You can catch a fish at any instant of time. Which distribution best characterizes the number of fish you catch in one hour of fishing? O Binomial O Geometric O Poisson O Exponential O Normal Save Answer Q2.2 You catch...

  • Please help me understand these different distributions! I will kindly rate. Q2 Multiple Choice You are...

    Please help me understand these different distributions! I will kindly rate. Q2 Multiple Choice You are going fishing. For each of the following random variables, select the distribution (Binomial, Geometric, Poisson, Exponential, or Normal) that best characterizes or approximates it. Q2.1 You catch an expected number of 1.5 fish per hour. You can catch a fish at any instant of time. Which distribution best characterizes the number of fish you catch in one hour of fishing? O Binomial O Geometric...

  • For each problem below, state the distribution, list the parameter values and then solve the problem....

    For each problem below, state the distribution, list the parameter values and then solve the problem. You may use Excel to solve but you still need to list the distribution name and parameter value(s). For example: Poisson distribution, x=5, p=0.24, P(5; 0.24) = 0.78 a) A skeet shooter hits a target with probability 0.6. What is the probability that they will hit at least four of the next five targets? b) You draw a random sample of 12 first graders...

  • Can anybody help me solve these? 1. Suppose the average number of hours worked per week...

    Can anybody help me solve these? 1. Suppose the average number of hours worked per week for high-school aged teens in the US is 17 hours per week with a standard deviation of 4 hours. A high school teacher working at an inner city high school is concerned about the time students spend working at after school jobs. She randomly selects 15 of her students and records the number of hours they spend working each week. Supposing that her students...

  • the mean number of sick days an employee takes per year is believed to be about...

    the mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey B employees. The number of sick days that the mean number is about 107 Conduct a hypothesis test at the 5% level. they took for the past year are as follows: 12; 6; 14 5 11; 6;10. Lt X the number of sick days they took for the past year....

  • Art 250 Choose the best answer of both hands at the same time is A. flow process chart simultaneo...

    art 250 Choose the best answer of both hands at the same time is A. flow process chart simultaneous-motion (SIMO) chart 2 The best chart used to analyze the Body is called B. Operations charts D. None of the above 3. In a stopwatch time study, the average time it takes a given worker to perform a task a certain number of times is the: A. Observed time B. Normal time C. Standard time D. Performance rating time Labor Standards...

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