For the discrete probability distribution. 3 4. 6. 7 k 2k 2k 3k 2k2 7k + k Find the variance.
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- Suppose x is a random variable best described by a uniform probability distribution with c=0 and d=6. Find the value of a that makes the following probability statement true: P(xza) = 0.4 1.6 4 3.6 4.4Suppose the probability function for x is such that p(x=1)=0.3, p(x=2)=0.4 and p(x=3)=0.3. What is the variance of x ?The probability of winning 5 games in 11 attempts is 0.4831. The number of games won has a binomial distribution. The probability of winning the 5th game on the 11th attempt is __________________.
- Suppose the number of rides that a visitor enjoys at Disney Find the mean number of rides for a Disney World visitor. World during a day is a random variable with the (Use decimal notation. Give your answer to two probability distribution given in the table. decimal places.) 5 6 7 8 9 10 11 12 p(x)0.040.07 0.09 0.120.200.300.130.05The probability that a randomly chosen person in the Netherlands connects to the Internet immediately upon waking† is approximately 0.25. What is the probability that, in a randomly selected sample of five people, two connect to the Internet immediately upon waking? HINT [See Example 2.] (Round your answer to four decimal places.)Find the mean of the random variable X with the given probability distribution. * P(x) 0.34 0.25 0.20
- The probability distribution shows the number of items a customer buys in a book store and their corresponding probabilities. Find the variance of this distribution. 1 2 3 4 5 Р(X) 0..60 0.28 0.07 0.03 0.02 Select the correct response: 0.95 1.59 0.90 2.61A random variable X has a binomial distribution with q = 0.34 and a sample size of n. Find the mean and variance for the random variable Y which is defined below. Y = nX Mean: __________________ Variance: __________________Let x be a Poisson random variable. Calculate the probability distribution of x for the given 2. Find the mean, variance, and standard deviation. Draw a graph of this probability distribution. 2 = 2.1 Round the probability to four decimal places and the standard deviation to three decimal places. P(x = 2) = i Mean = i Variance = i Standard deviation = i P(x) P(x) 0.25 0.8 0.20 0.6 0.15 04 0.10 0.2 0.05 O1 2 3 4 O1 2 3 4 567S 10 10 Fig. 1 Fig. 2 P(x) P(x) 0.35E 0.30 0.15 0.25 0.20 0.1아 0.15 0.10 0.05 0.05 O 1 23 4 56TS 9 10 10 Fig. 3 Fig. 4 Input the number of the correct graph.