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2. The random variable X has the probabilities listed in the table below. What is the...
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. A B C x P(x) x P(x) x P(x) 25 0.2 25 0.2 25 0.2 50 0.4 50 0.4 50 0.4 75 0.1 75 0.1 75 0.1 100 0.3 100 0.5 100 0.7 a. Which of the above tables is a probability distribution? b. Using the correct probability distribution, find the probability that x is: (Round the final answers to...
2). Consider a discrete random variable X whose cumulative distribution function (CDF) is given by 0 if x < 0 0.2 if 0 < x < 1 Ex(x) = {0.5 if 1 < x < 2 0.9 if 2 < x <3 11 if x > 3 a)Give the probability mass function of X, explicitly. b) Compute P(2 < X < 3). c) Compute P(x > 2). d) Compute P(X21|XS 2).
2. A discrete random variable X can be 2, 8, 10 and 20 and its
probabilities are 0.3, 0.4,
0.1 and 0.2, respectively. Drive the inverse-transform algorithm
for the distribution.
2. A discrete random variable X can be 2, 8, 10 and 20 and its probabilities are 0.3, 0.4, 0.1 and 0.2, respectively. Drive the inverse-transform algorithm for the distribution
If x is a binomial random variable, use the binomial probability table to find the probabilities below. a. P(x=4) for n=10, p=0.1 b.. P(x≤5) for n=15, p=0.5 c. P(x>1) for n=5, p=0.3 d. P(x<4) for n=15, p=0.7 e. P(x≥18) for n=25, p=0.9. f. P(x=4) for n=20, p=0.2. a P(x=4)=_____________________(Round to three decimal places as needed.) b.P(x≤5)=_____________________(Round to three decimal places as needed.) c P(x>1)=___________________(Round to three decimal places as needed.) d.P(x<4)= ______________(Round to three decimal places as needed.) e. P(x≥18)=_______________________...
The distribution of a random variable X is shown in the table below and the expectation E[X] = 2. Then, what is the maximum value of ab? x a 2 b P(X=x) 0.2 0.3 0.5
If x is a binomial random variable, use the binomial probability table to find the probabilities below. a.. P(x=2) for n=10, p=0.4 b.. P(x≤6) for n=15, p=0.3 c.. P(x>1) for n=5, p=0.1 d.. P(x<17) for n=25, p=0.9 e.. P(x≥6) for n=20, p=0.6 f.f. P(x=2) for n=20, p=0.2 a. P(x=2)=_______________-(Round to three decimal places as needed.)
A discrete random variable X has probability mass function P() 0.1 0.2 0.2 0.2 0.3 Use the inverse transform method to generate a random sample of size from the distribution of X. Construct a relative frequency table and compare the empirical with the theoretical probabilities. Repeat using the R sample function. 1000
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. 25 0. 50 0.7 75 0.2 100 0.4 25 -0.6 25 0.5 50 0.2 50 0.3 75 100 0.1 100 0.1 0.1 75 01 a. Which of the above tables is a probability distribution? b. Using the correct probability distribution, find the probability that xis: (Round the final answers to 1 decimal place.) 1. Exactly 75- 2. No more than...
The random variable X has the probability distribution table shown below. x 2 4 6 8 10 P(X = x) 0.2 0.2 a a 0.2 (a) Assuming P(X = 6) = P(X = 8), find each of the missing values. a = (b) Calculate P(X ≥ 6) and P(2 < X < 8). P(X ≥ 6) = P(2 < X < 8) =
Suppose a discrete random variable X has the following probability distribution () 0.1 0.1 0.2 0.6 Find the CDF of X and write it as a piecewise function.