For the discrete probability distribution. 1 3 4 5 7 f k 2k 2k 3k k² 2k² 7k² + k Find the variance.
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- The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 8 The variance of the days to complete the project is ________. a 1.665 b 1.542 c 1.428 d 1.322Suppose 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 table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 13 If you doubled each number of days to completion in the Days (x) column, the variance of days to completion will be _________. a 5.710 b 4.758 c 3.965 d 2.855
- K Suppose a basketball player is an excellent free throw shooter and makes 92% of his free throws (i.e., he has a 92% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player gets to shoot three free throws. Find the probability that he misses all three consecutive free throws. Round to four decimal places. OA. 0.2213 OB. 0.9995 OC. 0.0005 OD. 0.7787Find the mean of the random variable X with the given probability distribution. * P(x) 0.34 0.25 0.20The 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 2.61
- A random variable Y is given with its probability distribution. Find the value of 100q. 1 3 3q q Y P(Y) 0 0.35 2 0.25 4 9Let 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.X 1 2 3. A physics professor wants to know what percent of physics majors will spend the next several years doing post-graduate research. He has the following probability distribution. 3 4 5 6 P(x) 0.35 0.20 0.15 0.10 0.05 x*P(x a. Define the random variable x. b. Define P(x), or the probability of x. c. Find the probability that a physics major will do post-graduate research for four years. P(x = 4) =_ d. Find the probability that a physics major will do post-graduate research for at most three years. P(x ≤ 3) =_ e. On average, how many years would you expect a physics major to spend doing post-graduate research?
