Instructions: Read and analyze each given problem in probability distribution. This assignment will automatically check your answers based on the given answer keys. It is very important to follow this: The probability value, as your final answer, should be expressed in decimal format (not in fraction and not in percentage), and it should be rounded of up to 3 decimal places. Type your final answer on the designated text box. [Problem 1] A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn randomly without replacement. What is the probability that exactly 4 red cards are drawn? 5 points Your answer [Problem 2] Industry records indicate that 60% of all computers purchased by schools are IBM compatibles, 25% are Apple computers, 15% are all other types. If a group of eight teachers, from different schools meet at a national conference, what is the probability that four use IBM computers. 3 use Apple computers, and 1 use other types? Your answer * 5 points [Problem 3] The results of a school survey on fast-food preference shows that 50% of the students prefer pizza, 25% prefer hamburger, and 25% prefer chicken. If a group of given students go for a bite after a move, find the probability that three of them order pizza, one orders a hamburger, and one orders chicken. 5 points Your answer [Problem 4] By very carefully screening applicants, the Rural Bank of Bataan has been able to limit bad-debt losses on agricultural loans to 8%. What is the probability that at least four (4) of the five (5) applicants just approved will repay their loans? Your answer * 5 points [Problem 5] In a certain city the need for money to buy drugs is given as * 5 points the reason for 75% for all theft. What is the probability that exactly 2 of the next 4 theft cases reported in this district resulted from the need for money to buy drugs? Your answer [Problem 6] A small voting district has 101 female voters and 95 male voters. A random sample of 10 voters is drawn. What is the probability exactly 7 of the voters will be female? Your answer * 5 points Instructions: Read and analyze each given problem in probability distribution. This assignment will automatically check your answers based on the given answer keys. It is very important to follow this: The probability value, as your final answer, should be expressed in decimal format (not in fraction and not in percentage), and it should be rounded of up to 3 decimal places. Type your final answer on the designated text box. [Problem 1] A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn randomly without replacement. What is the probability that exactly 4 red cards are drawn? 5 points Your answer [Problem 2] Industry records indicate that 60% of all computers purchased by schools are IBM compatibles, 25% are Apple computers, 15% are all other types. If a group of eight teachers, from different schools meet at a national conference, what is the probability that four use IBM computers. 3 use Apple computers, and 1 use other types? Your answer * 5 points [Problem 3] The results of a school survey on fast-food preference shows that 50% of the students prefer pizza, 25% prefer hamburger, and 25% prefer chicken. If a group of given students go for a bite after a move, find the probability that three of them order pizza, one orders a hamburger, and one orders chicken. 5 points Your answer [Problem 4] By very carefully screening applicants, the Rural Bank of Bataan has been able to limit bad-debt losses on agricultural loans to 8%. What is the probability that at least four (4) of the five (5) applicants just approved will repay their loans? Your answer * 5 points [Problem 5] In a certain city the need for money to buy drugs is given as * 5 points the reason for 75% for all theft. What is the probability that exactly 2 of the next 4 theft cases reported in this district resulted from the need for money to buy drugs? Your answer [Problem 6] A small voting district has 101 female voters and 95 male voters. A random sample of 10 voters is drawn. What is the probability exactly 7 of the voters will be female? Your answer * 5 points