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- Need help plsDelta limited the Chief Administrative Manager analyzed the number of incoming faxes. Afteran analysis, the manager determined the probability distribution of the number of pages per fax as follows:x1234567P(x)0.050.120.20.30.150.10.08Required:Compute the mean and the variance of the number of pages per fax.Do number 1
- When practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable X be the number of free throws she makes. Find the probability she makes exactly 5 free throws. Give your answer to at least three nonzero decimal places. What is the expected value of X. Interpret this value.4.43 Consider the probability distribution for the random vari- able x shown here: 2 .4 10 .2 1 4 P(x) 2Classify the random variable X as discrete or continuous. Explain your reasoning. X represents the number of Blu-ray TM discs you own. A. Discrete; the number of discs is countable. B. Continuous; the number of discs could be any number greater than or equal to 0. C. Continuous; the number of discs is countable. D. Discrete; the number of discs could be any number greater than or equal to 0.
- An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Compute the simulated averages and standard deviations of the number of complaints per week for each store and the total for both stores over the 52 weeks. Compare to the theoretical mean and standard deviations.QI For the next data if (k = 6 , L= 6 ), The probability distribution is: * 12 16 17 17 20 21 22 25 25 26 28 30 32 32 34 35 39 41 43Do number 2