Direction: Complete the table below and find the variance and standard deviation of the following probability distributions. X 3 6 8 10 P(X) 0.15 0.35 0.40 0.10 X.P(X) x-μ (x-μ)² (x-μ)². P(X)
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- x f(x) 20 0.10 25 0.20 30 0.25 35 0.15 40 0.10 a. What is the probability that the firm will obtain 40 or more new clients? b. What is the probability that the firm will obtain fewer than 35 new clients? c. find expected vaule= variance= standard deviation =x P(x) 0 0.12 1 0.08 2 0.08 3 0.08 4 0.14 5 0.1 6 0.14 7 0.26 Find the variance of this probability distribution.Give your answer to at least 2 decimal placesThe table below shows the probability distribution function of the number of accidents (X) occur in a day by taxis belonging to a taxi company. x 0 1 2 3 4 P(X = x) 0.5 0.15 0.05 2k k (a) Find the value of k.(b) Find the expected value and standard deviation of the number of accidents (X) occurring in a day.(c) Assume the net profit ($), Y, of the taxi company in a day is given by Y = 10000 – 4000X. Find theexpected value, variance, and standard deviation of the net profit of the taxi company in a day.(d) What is the maximum profit the company earn in a day? What is the corresponding probability?(e) What is the probability that the company loses money in a day?(f) Find the probability that there are exactly 3 days that the company loses money in a week (7 days).
- Find the standard deviation of the random variable X with the given probability distribution. * 1 P(x) 0.34 0.25 0.20 2.I am in Prob/Stat! Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places. x P(x) 0 0.15 1 0.15 2 0.2 3 0.5 I have multiplied P by x, thus, P(x) as such: 0.15(0) = 0 0.15(1) = 0.15 0.2(2) = 0.4 0.5(3) = 1.5 I then add the four together to get the sum of; 2.05. What am I doing wrong? Am I not finding the standard deviation correctly?? Thank you in advance!statistic
- The discrete random variable X has the probability distribution given by: -1 1 2 3 P(X = x) 0.2 r 0.4r 0.2 c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the variance of the random variable Y, where Y = 6 – 2X Answer in exact fraction or exact decimalsTrying to find variance. his equation is Prob(x)*[x-e(x)]^2. Just need an example to get me started.Original question is: A call center recieves an average of 10 calls per hour. Assuming the number of calls received follows the poisson distribution, determine the probability of each of the discrete outcomes below. Then calculate the variance component for each one using the standard formula for the variance of a discrete random variable. At the end, take the sum of both columns. Table: Poisson Distribution Table Calls Density Variance 0 0.00% 1 0.05% 2 0.23% 3 0.76% 4 1.89% 5 3.78% 6 6.31% 7 9.01% 8 11.26% 9 12.51% 10 12.51% 11 11.37% 12 9.48% 13 7.29% 14 5.21% 15 3.47% 16 2.17% 17 1.28% 18 0.71% 19 0.37% 20 0.19% 21 0.09% 22 0.04% 23 0.02% 24 0.01% 25 0.00% 26 0.00% 27 0.00% 28 0.00% 29 0.00% 30 0.00% Sum 100.00%Given the random variable X and its probability density function below, find the mean, variance, and standard deviation of X. X Pr(X) 0 0.3 3 0.7 Mean = Variance = Standard Deviation =