LET'S DIG IN 1. Complete the table below and find the mean of the following probability distribution. X P (X) X. P (X) 0 0.17 1 0.34 2 0.24 3 0.20 4 0.05 2. A traffic engineer is interested in the number of vehicles reaching a particular crossroads during periods of relatively low traffic low. The engineer finds that the number of vehicles X reaching the crossroads per minute governed by the probability distribution, calculate the mean. X 0 2 3 4 P(X) 0.37 0.39 0.19 0.04 0.01 X .P(X) 3. In a family with two children, find the mean of the number of children who will be boys. Use the formula. 4. The Math Club organized a fund-raising activity for the support of the students who cannot avail cellphone for the online class. They sell 500 raffle tickets worth Php50 each. The sole lucky winner of this raffle will receive a cash of Php 1000. What is your expected net gain if you buy one raffle ticket?1. Let X be the number of encoding errors a student makes on a given page. The table below shows a probability distribution of X. X 0 1 2 3 4 P(X) 0.55 0.25 0.08 0.10 0.02 What is the mean of the probability distribution? A. 0.59 B. 0.63 C. 0.79 D. 0.81 2. The table below is the discrete probability distribution of X for the number of laptops sell for a day. X 0 2 3 4 5 P(X) 0.15 0.25 0.05 0.20 0.10 0.25 What is the expected value of X? A. 2.4 B. 2.6 C. 2.75 D. 1.9 3. Find the mean of the probability distribution of the random variable X, which can take only the values 1, 3, 5, 7, given that P(1) = 1, P(3) = 1 , P(5) = 1, and P(7) = A. 3.0 B. 3.5 C. 3.75 D. 4.0 4. A company organized a fund-raising program for the benefit of families in a certain barangay who affected in a pandemic. Five hundred raffle tickets are sold at Php100 each. The prizes are as follows: Php 15, 000; Php10, 000 and Php5, 000. What is the expected net gain if a person buys one ticket? A. Php30.45 B. Php35.62 C. Php40.40 D. Php54.70 5. Mike and John are playing a game. Mike roll die and John will guess the number of dots comes up. John will pay Php50 to make a guess, and if he guesses correctly, Mike will pay Php400. If John makes 6 guesses, how much money is he expected? A. Php50 B. Php100 C. Php120 D. Php60