Question: 2. Consider the following probability distribution function of the random variable X which represents the number of people in a group (party) at a restaurant:

2. Consider the following probability distribution function of the random variable X which represents the number of people in a group (party) at a restaurant: X JOUAWNG P(X 0.10 0.25 0.20 0.20 0.10 0.05 8 0.05 a. Find the population mean of X. b. Find the population variance and standard deviation of X. c. Find the probability that the next party will be over 4 people. d. Find the probability that the next three parties (assuming independence) will each be over 4 people

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