A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows. Activity Activity Time (weeks) A B C D 5 average standard deviation 6 7 8 3 5 7 10 12 14 16 18 8 10 Probability 0.20 weeks weeks 0.35 0.30 0.15 0.15 0.60 0.25 0.10 0.25 0.35 0.25 0.05 0.55 (a) Construct a spreadsheet simulation model to estimate the average length of the project (in weeks) and the standard deviation of the project length. (Use at least 1,000 trials. Round you answers to one decimal place.) 0.45 (b) What is the estimated probability that the project will be completed in 35 weeks or less? (Use at least 1,000 trials. Round your answer to three decimal places.) O 55°F Sunny 4 9:28 AM 10/22/2022

Find the mean as well please

Answer Part C only.

A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) X 0.088 1 0.328 0.426 3 0.158 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1. E. No, not every probability is between 0 and 1 inclusive. O O O