2.1) Poisson distribution
2.2) exponential distribution
2.3) Geometric distribution (since trail continues untill 1st success appears)
2.4)Binomial distribution
2.5) Normal distribution
Q2 Multiple Choice You are going fishing. For each of the following random variables, select the...
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...
10J Find the appropriate distributions for the following random variables A. the number of cured patients among all the patients who use the drug B. the number of x defective items when a random sample of size n is selected from N items which consist of k defective items and N-k non- -dectives items C the number of tossing a coin until a head occurs D, the number of telephone calls received per hour by an office E the number...
Question Completion Status: QUESTION 10 A multiple choke test has 20 questions each question has 5 choices. What is the distribution of the number of correct answers obtained by a person guessing at random? Poisson Binomial Hypergeometric Geometric QUESTION 11 A company produces 5 defective parts. Ten parts are randomly selected. What is the probability that at least one of them will be defective? O 0.4013 0.6849 O 0.3151 0.5987 QUESTION 12 05 x for 0<x . if the probability...
TEXT Alternative:
Suppose you were in charge of establishing economic policy for a
small island country whose only industry is fishing. When people
aren't fishing, they're enjoying leisure time with their
families.
Which of the following policies would lead to greater economic
growth? Check all that apply.
Imposing a tax on fishing boats (a form of capital)
Lowering the income tax, assuming that it encourages people to
work longer hours
Subsidizing research and development into new fishing
technologies
Offering free...
2. For each of the following random variables: • Decide whether it would be appropriate to model it as a Bernoulli, binomial, geometric, or Poisson distribution, or none of the above. Explain briefly why these choices are appropriate, including any independence assumptions. If appropriate, give the parameter value(s). • Determine the expected value, variance, and standard deviation of the random variable. If it follows one of the special distributions, you can use the known formulas discussed in class. (If multiple...
QUESTION 1 2 points Save Answer You have a device that wants to transmit many packets to a router, which is sometimes busy serving other users. At every second, your device attempts to send a packet. It succeeds with probability 1/5 and the success of any attempt is independent of the success of other attempts. Let N be the number of attempts until the first success. What type of random variable is N? Bernoulli Binomial Geometric O Poisson QUESTION 2...
Recall that a discrete random variable X has Poisson
distribution with parameter λ if the probability mass function of
X
Recall that a discrete random variable X has Poisson distribution with parameter λ if the probability mass function of X is r E 0,1,2,...) This distribution is often used to model the number of events which will occur in a given time span, given that λ such events occur on average a) Prove by direct computation that the mean of...
Please Tell me if my matching for these
distributions are correct. If not, can you please fix it.
Match the name of the distribution with the situation under which the distribution is used. 5 A simple distribution that can be specified with three points, Lowest Possible Value, Most Likely value, and Highest Possible value. 1 Used when you have a number of experiments with dichotomous outcomes, each having the same probability of occurrence, and are independent from trial to trial....
Question 13 0.2 pts Suppose you are taking a multiple choice exam with 55 questions, each with 4 possible answers. If you were to guess at random for each question, how many questions would you expect to get right? Your answer does not need to be an integer. Question 14 0.2 pts On average 1.8 babies are born each day at a local hospital. Assuming the Poisson distribution, what is the probability that no babies are born today?
In each problem, make sure that you are clearly defining random variables, stating their distributions, and writing down the formulas that you are using. (That is, write down the pmf, write down mean and variance formulas.) The number of fatalities due to shark attacks during a year is modeled using a Poisson distribution. (Rigorous justification: Sharks are fish.) The International Shark Attack File (ISAF) reports that during a 5 year period, there are on average 4. 4 fatalities per year...