For families with 5 children, let A be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(a) 0.5316 2 0.0565 3 0. 1119 4 0.0108 U 0. 1588 O no O yesFind the mean of the foLlowing probability distribution? Round your answer to four decimal places. 2" PW} 0 01351 1 0.1576 2 0.2104 3 03595 4 0.1374 You are pLaying a game where you draw a card from a standard deck, and you wiLl win 510 if you draw a face card, $17 if you draw an ace and Lose $2 if you draw any other card. What is the expected gain from this game? 5 A company wants to evaluate its attrition rate. In other words, how long new hires stay with the company. Over the years, they have established the following probability distribution. Let X = the number of years a new hire will stay with the company. Let Pix] = the probability that a new hire will stay with the company x years. Find the probability that a new hire will stay with the company for 4 years. P(x : 4) : Find the probability that a new hire will stay with the company for at least 5 years. P(x 3 5) = On average, how long would you expect a new hire to stay with the company? years