Which of the following is a true statement? A. The expected value is the most frequently occurring value of the random variable. B. Variance is always >=0 C. Variance can be negative D. F(x)=P(X=x)
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- Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. X p(x) 1 2 0.04 0.10 3 4 0.13 0.30 5 0.31 6 7 (a) Find the mean value of x (the mean number of systems sold). 8 0.10 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?Which of the following does not belong to the steps in finding the variance of probability distribution in a random variable? O Square the results of the difference between mean and random variable x. O Add the mean from each value ofa random variable x. O Find the mean of the probability distribution. O Multiply the results obtained in squaring the difference between mean and random variable x by the corresponding probability.Suppose that for a particular computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table. X p(x) (c) 1 0.03 0.08 (b) Find the variance of x. 19.72 2 3 X 4 5 (a) Find the mean value of x (the mean number of systems sold). 4.24 6 7 8 0.14 0.30 0.30 0.13 0.01 0.01 Find the standard deviation of x. (Round your answer to four decimal places.) 1.7424 How would you interpret these values? The variance of x is the mean squared deviation of the number of systems sold in a month from the mean number of systems sold in a month. The standard deviation of x is the typical deviation of the number of systems sold in a month from the mean number of systems sold in a month. What is the probability that the number of systems sold is within 1 standard deviation of its mean value? 0.74 (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
- An independent t-test is used to test for: Differences between means of groups containing different people when the data are not normally distributed or have unequal variances. Differences between means of groups containing the same people when the data are normally distributed, have equal variances and data are at least interval. Differences between means of groups containing same people when the data are not normally distributed or have unequal variances. Differences between means of groups containing different people when the data are normally distributed, have equal variances and data are at least interval.probability and statisticsDiscuss in which instances can Correlation and Covariance be equal to each other for the two random variables X and Y. and what it means when they are identical correlation = covariance.
- I need help with this. is my answer correct?x f(x) 20 0.10 25 0.20 30 0.25 35 0.15 40 0.10 45 0.10 50 0.10 compute expected value, variance, and standard deviation7. Let X be a random variable with probability distribution given by the following table: X 0 1 2 3 P(x) 0.70 0.20 0.06 0.04 Find: The expected value of X. The variance of X. The mode of X. The range of X.
- I need help with thisFind the variance for the probability distribution 4 0 1 2 3 P(X=x) 0.04 0.18 0.34 0.23 0.21 Select one: а. 1.12 b. 1.26 с. 1.59 d. 3.79. Variance: The number of cars that pass through a toll booth in an hour follows a probability distribution with the following values: NUMBER OF CARS (X) PROBABILITY P(X) 0 0.1 1 0.3 2 0.4 3 0.2 Calculate the variance of the number of cars passing through the toll booth in an hour.