Fall 2019 Midterm Exam 1.) Selecting a Card When a card is selected from a deck, find the probability of getting: a. A Heart b. A Spade or a club C. A Ace and a spade d. A Queen e. A Black card 2.) Rolling Two Dice When two dice are rolled, find the probability of getting: a. A sum of 4 or 8 b. A sum greater than 8 C. A sum less than 4 or greater than 10 d. A sum that is greater than or equal to 5 e. A sum of 13 f. A sum less than 7 3.) Employed Women If 60% of all women are employed outside the home, find the probability that in a sample of 20 women, a. Exactly 12 are employed b. At least 9 are employed c. Fewer than 5 are employed outside the home 4.) Sports Score Hot Line Calls (Optional) Sports Scores Hot Line receives, on the average, 11 calls per hour requesting the latest sports scores. And 40% of the calls were positive on average. a. At least 7 calls b. 4 or more calls C. At most 9 calls 5.) Find the probabilities for each, using the standard normal distribution. P (0 1.83) 32. P (z - 1.92)6.) Determine if the distribution represents a probability distribution. Then find Mean, Variance, and Standard Deviation. X 7 8 10 11 P(x) 0.3 0.5 0.1 0.08 0.02 7.) Determine if the distribution represents a probability distribution. Then find Mean, Variance, and Standard Deviation. X 6 8 10 12 14 P(x) .25 .10 .30 .10 .25 8.) Find the mean, variance, and standard deviation for each of the values of n and p when the conditions for the binomial distribution are met. a. n =80 , p = 0.55 b. n = 200, p =0.15 c. n = 15, p =0.7 d. n = 25, p =0.6 e. n = 700, p =0.3 f. n = 100, p= = 9.) Find the Mean, Median, Mode, Mid-range, Variance, and Standard Deviation. 13 Z 8 19 13 Z 11 10.) Selecting a Colored Ball: An urn contains 6 red balls, 8 blue balls, and 4white balls. A ball is selected and its color noted. A second ball is selected and its color noted. Find the probability of each of these. a. Selecting 2 blue balls b. Selecting 1 blue ball and then 1 white ball c. Selecting 1 red ball and then 1 blue ball (without Replacement)