3.) The real estate broker's examination in a certain state had a mean score of 435 and a standard deviation of 72. .If an exam is selected at random, what is the probability that the score is less than 400? . Suppose a sample of 35 is selected. What is the probability that the sample mean score is between 350 and 500? .If the board wants to set the passing score so that only the best 35% of all applicants pass, what is the passing score? .What is the 80th percentile for exam scores? . What would be considered a significantly low score? .What would be the z-score for an exam score of 385? 4). You pick a single card from a standard deck of cards. .If you draw two cards without replacement, what is the probability of drawing a 2 and then a 4? . You are playing a game that costs $1 to play and if you draw a King or an Ace, you win $5. What is the expected value of the game? And do you want to play it?|