For a recent period of 100 years, there were 86 major earthquakes in a particular region. Assuming that the Poisson distribution is a suitable model, find the mean number of major earthquakes per year. mean - Now, find the probablity distribution for the number of earthquakes in a randomly selected year: 6 or more
QUESTION 4 Find the mean of the distribution shown. Х P(x) 0 0.26 5 3 0.24 0.50 2.50 2.24 3.22 3.48 QUESTION 5 Find the mean of the distribution shown. х P(X) -3 0.18 -2 0.24 - 1 0 0.41 0.17 0 -1.74 O -1.43 0 -1.95 O 1.95
1. Find P(X=4) if X has a Poisson distribution such that 3P(X=1) = P(X=2). 2. A communication system consists of three components, each of which will, independently function. In each component, there are many parts – where the number of malfunction in these parts follows a has a Poisson distribution with mean 1. The entire system will operate effectively if at least two of its components has no malfunction. What is the probability that this system will be effective?
х 0 1 P(x) 0.15 0.05 0.25 0.55 2 3 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places Submit Question
Let X 1, X 2, X 3, X 4 be a random sample of size n=4 from a Poisson distribution with mean . We wish to test Ho: I = 3 vs. H1: \<3. a) Find the best rejection region with the significance level a closest to 0.05. Hint 1: Since H1: X< 3, Reject Ho if X 1+X 2 +X 3 +X 4<= 0 Hint 2: X 1+X 2 +X 3 + X 4 ~ Poisson (4) Hint 3:...
Is this a binomial distribution? Х 0 1 2 3 P(x) 0.343 0.441 0.189 0.027 Send data to Excel BH The distribution does not represent a binomial distribution. The distribution represents a binomial distribution. The value of n is and the value of p is .
6. Given the probability distribution below, find Mean and Standard deviation. х P(x) 0 0.10 10 0.50 20 0.05 30 0.35 Total 1.00 I
3. Assume that X is the number of large earthquakes (with magnitude 2 7.5) occurring in each year. A statistician suggested that X follows a Poisson distribution with parameter ?. A Poisson distribution with parameter ? has expectation ? and variance ?. Suppose a data set 1,22,.,^n is the realization of a random sample Xi,..., Xn from this distribution. One can use either ? 1-X, or ?2-1 ?21 (Xi-%)2 to estimate the parameter ?. (a) Find Eli21 (b) Are both...
х 0 0 2 3 4 5 P(x) 0.172 0.387 0.293 0.118 0.025 0.005 The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. (Type an integer or a decimal. Do not round.)
QUESTION 3 х A population has a probability distribution as follows. P(x) 0.2 2 0.5 3 1 0.3 A sample of 2 is drawn and its mean, X, calculated. Find the probability X = 2.5 Round off to three decimal places