1. Other
  2. Other
  3. appreciate if you can answer this one question completely and...

Question: appreciate if you can answer this one question completely and...

Question details

Appreciate if you can answer this ONE QUESTION COMPLETELY and give me a detailed working with explanation for me to understand. Once completed so long as my doubts are cleared and the solutions are correct, I will definitely vote up. Some of the question are similiar to take a look carefully before you answer as it's very important for me.

Thank you.

Question3 (a) In a given city. 696 ofan drivers get at least one parking ticket per year. A total of80 drivers are randomly chosen in the city () State the binomial model. What is the probability that four will get at least one parking ticket in any given year? By applying Poisson approximation to the (8 marks) (i) Byusing the Poisson approximation, what is the probability that at least three marks) (iii) By using the Poisson approximation, determine the probability that anywhere binomial distnbution, analyze the same problem and comment on the results. will get at least one parking ticket in any given year? from two to four, inclusive, wll get at least one parking ticket in any given (3 marks) (b) In certain experiments, the error made in determining the density of a substance is a year random variable X, which is equally likely to take any value between two stated bounds-0.025 and 0.025 (i) what distribution may be used to model X? Write down the probability density function of X. What is the probability that such an eor will be between 0.010 and 0.015? (4 marks) (i) What is the probability that such an eror will be between-0.012 and 0.012? (2 marks) (ii) Determine the mean and variance of X (2 marks) (C)Te mumber of calls Y to arive at a switchboard during any 1-minute period is a random variable and has the following probability distribution: Table Q3G What is the mean number of calls to arrive at the switchboard during any 1-minute 6 marks) (d Suppose that a random variable X is defined to take the value 1 when a perfect period? Determine the variance of Y unbiased die shows a 2 or a 4; and take the value 0 otherwise. What is the mean of the distribution of X? (2 marks)

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution