Given the following valid probability distribution of a discrete random variable X with unknow entries, but knowing that the mean value of X is μ = 2.3332. X 0 1 2 3 4 p(x) p₁ 0.2444 0.1778 0.0444 P5 Choose one from the following which is closest to the correct answer.
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- Let X be the random variable with the following distribution: x: 1 2 3 4 5 P(X=x): k 0.04 0.3 0.2 0.3 Find the mean four decimal placesConsider the following probability distribution of the random variable x. f(x) 0.34 1 0.22 2 0.17 3 0.10 4 0.17 Find the probability that x is at least 3. Select one: O a. 0.73 O b. 0.27 O c. 0.56 O d. 0.17 O e. 0.44 O f. 0.83For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2077 2 0.0943 3 0.3281 4 0.1105 5 0.3232 A. yes B. noIs it correct answer B?
- Suppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03For familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.Suppose x is a normally distributed random variable with mean u =0 and standard deviation o = 1. Find the probability that x < 0.64. O 73.89% 76.11% 23.89% O 26.11%
- Following is the probability distribution for the random variable X X 0 1 2 3 4 P(X) 0.1 0.2 0.4 0.2 0.1 Compute the mean (MUX) and the Standard deviation of X.Given the following valid probability distribution of a discrete random variable X with unknown entries, but knowing that the mean value of X is μ = 1.9388. X 0 1 2 2 3 4 p(x) 0.2857 P2 P3 0.4082 0.0612 Choose one from the following which is closest to the correct answer. O b. P2 = 0.4082 and P3 O C. P2 = O d. P2 O a. P₂ = O e. P₂ = 0.2245. 0.0204 and P3 = 0.4082. 0.0204 and p3 = 0.2245. 0.0612 and p3 0.0204 and p3 = = 0.2245. 0.0612.Suppose x is a normally-distributed random variable with mean µ= 50 and standard deviation o=2. Use the table to find the probability that x>55. Express your answer as a decimal. -2.5 -2 -1.5 -1 -0.5 0.5 1 1.5 2.5 Area 0.01 0.02 0.07 0.16 0.31 0.5 0.69 0.84 0.93 0.98 0.99 0.01 с. 0.64 а. d. 0.99 b. 0.98
- Given the following probability distribution of a discrete random variable X, x -3 -2 -1 0 1 2 3 4 5 p(x) 0.0205 0.0318 0.0576 0.0362 0.263 0.1965 0.0939 0.1379 0.1626 Choose one from the following which is closest to the correct answer. a. The mean μ = 1.0000 and the standard deviation o = 2.7386. O b. The mean μ = 1.9817 and the standard deviation o c. The mean μ = 1.9231 and the standard deviation o = 1.9743. e. The mean μ = 2.1196 and the standard deviation = 2.0105. 1.957 and the standard deviation = 1.9787. O d. The mean μ = = 1.99.If the probability distribution for the random variable X is given in the table, what is the expected value of X? xi −1 2 4 pi .4 .5 .1The table below shows the probability distribution of the random variable X. a. Find the mean of the random variable. b. Obtain the standard deviation o of the random variable. 1 P(X =x) 0.4 0.1 0.5 a. Find the mean of the random variable. (Round to two decimal places as needed.) b. Obtain the standard deviation o of the random variable. O = (Round to two decimal places as needed.) Enter your answer in each of the answer boxes. ? Le