Question 16 Give the mean and variance of the following distribution. [3 marks] 2 4 p()...
Give the mean and variance of the following distribution. [3 marks] P(X) 0.1 0.2 10.1 Mean=2.3. Variance=1.71 Mean=2.3. Variance=1.62 Mean=2.3, Variance=1.41 Mean=2.3, Variance=1.19
16 of 1e This Question: 1 pt Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p n80, p 0.6 The mean, p Round to the nearest tenth as needed) The variance. σ2.is®(Round to the nearest tenth as needed.) The standard deviation, σ, is[ (Round to the nearest tenth as needed.) Enter your answer in each of the answer boxes 2 3 4 5 6 tab
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4- In a lognormal distribution the mean is 3, and the variance is 5. P(x>95)=?
Compute the mean and variance of the following discrete probability distribution. (Round your answers to 2 decimal places.) X P(X) 0 .2 1 .4 2 .3 3 .1
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
10) Compute the mean, variance, and standard deviation for the probability distribution listed below. 2 4 P(x) 1/3 1/81/81/4 1/6
Question 1 [12 + 4 =16 marks] A. Let A and B be two events such that P( A) 0.6 , P(B) 0.4 and P( A B) 0.10. Calculate P( A B). Calculate P( A | B). iii. Are events A and B independent? Justify your answer. iv. Are events A and B mutually exclusive events? Justify your answer. (2 + 2 + 3 + 3 = 10 marks) B. A box contains 20 DVDs,...
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.)$$ \begin{array}{lrrrr} x & -23 & -17 & -9 & -3 \\ P(x=x) & 0.50 & 0.25 & 0.15 & 0.10 \end{array} $$Mean:Variance:Standard Deviation:
1. Let Xi l be a random sample from a normal distribution with mean μ 50 and variance σ2 16. Find P (49 < Xs <51) and P (49< X <51) 2. Let Y = X1 + X2 + 15 be the sun! of a random sample of size 15 from the population whose + probability density function is given by 0 otherwise
1. Let Xi l be a random sample from a normal distribution with mean μ 50 and...
4. Find the following from standard normal distribution table: (4 marks) a) The Z- value such that there is a 60% probability of a value falling to the left of z. (2 Marks) .7454 (2 Marks) b) The probability that a value will be more than z= -2.3 0094