we have given mean = 3
standard deviation = 5
P(x>95) = 0.62201 ( using excel function =LOGNORM.DIST(95,3,5,TRUE)
for university 4- In a lognormal distribution the mean is 3, and the variance is 5....
10) The X random variable has a normal distribution. P(X > 15) = 0.0082 and P(X<5) = 0.6554 find the mean and variance of this distribution
For the Lognormal Distribution a. Is the mean a parameter of position, scale, shape or a combination? Explain. b. Is the standard deviation a parameter of position, scale, shape or a combination? Explain. c. How can you convert standard deviation into variance?
View Policies Current Attempt in Progress Suppose that X has a lognormal distribution with parameters 0 = 0 and m2 = 4. Determine the following. (a) P (24 < X < 59) = (Round your answer to 4 decimal places.) (b) The value for x such that P (X<x) = 0.05. X= (Round your answer to 4 decimal places.) (c) The mean and variance of X. Mean = (Round your answer to 2 decimal places.) Variance = (Round your answer...
2. If X and Y are independent random variables, X has a normal distribution with mean 2 variance 4, and Y has a chi-square distribution with 9 degrees of freedom, then find u such that P(X > 2+11,7)=0.01.
Find the mean, variance and standard deviation for the probability distribution given below: X -3 5 10 12 P(X) 0.562 0.137 0.201 0.1 A. Mean = B. Variance = C. Standard Deviation =
1. The random variable X is Gaussian with mean 3 and variance 4; that is X ~ N(3,4). $x() = veze sve [5] (a) Find P(-1 < X < 5), the probability that X is between -1 and 5 (inclusive). Write your answer in terms of the 0 () function. [5] (b) Find P(X2 – 3 < 6). Write your answer in terms of the 0 () function. [5] (c) We know from class that the random variable Y =...
Derive the expectation and variance of lognormal distribution WITHOUT using the moment generating functions.
A random variable X has a mean μ = 10 and a variance σ2-4. Using Chebyshev's theorem, find (a) P(X-101-3); (b) P(X-101 < 3); (c) P(5<X<15) (d) the value of the constant c such that P(X 100.04
Question 16 Give the mean and variance of the following distribution. [3 marks] 2 4 p() 0.10.20.10.50.1 Mean-2.3, Variance 1.71 Mean-2.3, Variance-1.19 Mean-2.3, Variancc-1.41 O Mcan-2.3, Variance-1.62
Probability & Statistics for Engineers & Scientists 9th edition 9.82 Consider the lognormal distribution with the density function given in Section 6.9. Suppose we have a random sample x1,x2,....,xn from a lognormal distribution. (a) Write out the likelihood function. (b)Develop the maximum likelihood estimates of mean and variance of random variable.