A particular brand of women's jeans is available in five different sizes, four different colors, and three different styles. How many different jeans does the store manager need to order to have one pair of each type? . . . The store manager needs to order pairs of jeans. (Type a whole number.)l a. Ifa coin is tossed four times, how many different outcomes are possible? b. If a four-sided die is tossed four times. how many different outcomes are possible? c. Discuss the differences in your answers to (a) and (b). a. There are D different outcomes. (Type a whole number.) Ateam is being formed that includes six different people. There are six different positions on the teams. How many different ways are there to assign the six people to the six positions? Q There are D ways to assign the six people to the six positions. (Type a whole number.) If P(A) = 0.6, P{B} = 0.8. and P{A and B) = 0.6, are A and B independent? E O A. No Q B. Yes Q C. Not enough information If P(B) = 0.15, P(A | B) = 0.40, P(B') = 0.85, and P(A | B') = 0.80, find P(B | A). P(B | A) = (Round to three decimal places as needed.)Use the contingency table below to find the probability of the following events. a. A|B b. A B' c. A' B' d. Are events A and B independent? B B' A 20 40 A' 40 30 . . . a. P(A|B) = (Round to two decimal places as needed.)What is the difference between a simple event and a joint event? Choose the correct choice below. O A. A simple event has only one characteristic. A joint event has two or more characteristics. O B. A simple event contains only one outcome. A joint event can contain multiple outcomes. O C. A simple event can contain multiple outcomes. A joint event contains only one outcome. O D. A simple event has two or more characteristics. A joint event has only one characteristic.A student has eleven books that she would like to place in her backpack. However, there is only room for nine books. Regardless of the arrangement, how many ways are there of placing nine books into her backpack? E) There are D ways she can place nine of the eleven books into her backpack. (Type a whole number. Simplify your answer.) Twelve members of a group of fourteen are to be selected to a team. How many ways are thereto select these twelve members? There are D ways to select these twelve members. (Type a whole number.) If P(A) = 0.3, P(B) = 0.1, and A and B are independent, find P(A and B). . . . P(A and B) = (Type an integer or a decimal.)There are eighteen teams in a high school baseball league. How many different orders of finish are possible for the first three positions? . . . There are different orders of finish for the first three positions. (Type a whole number.)Suppose that E and F are two events and that P(E and F) =0.1 and P(E) =0.5. What is P(F|E)? c:) P(F|E)= E (Type an integer or a decimal. Do not round.) What is the difference between mutually exclusive events and collectively exhaustive events? (3) Choose the correct choice below. {:5 A. A set of events are mutually exclusive if at least one of the events must occur. A set of events are collectively exhaustive if they cannot occur at the same time. . Aset of events are mutually exclusive if the probability of each event in the set is not affected by the outcomes of the other events. A set of events are collectively exhaustive if at least one of the events must occur . A set of events are mutually exclusive if they cannot occur at the same time. A set of events are collectively exhaustive if the probability of each event in the set is not affected by the outcomes of the other events. A set of events are mutually exclusive if they cannot occur at the same time. A set of events are collectively exhaustive if at least one of the events must occur. In 40 of the 60 years from 1950 through 2009 a certain stock market finished higher after the first week of trading. In 33 of those 40 years. this market finished higher for the year. The following table gives the rst-week and annual performance ofthe market over this 60-year period. Use the table to answer (a) through (6) below. ANNUAL PERFORMANCE l:l FIRST WEEK Higher Lower Higher 33 7 Lower 10 10 (E a. lfa year is selected at random, what is the probability that the market finished higher for the year? D (Round to four decimal places as needed.) A survey of 1,091 adults was asked, "Do you feel overloaded with too much information?" Suppose that the results indicated that of 548 males, 232 answered yes. Of 543 females, 272 answered yes. Construct a contingency table to evaluate the probabilities. Complete parts (a) through (d). (E a. What is the probability that a respondent chosen at random indicates that he/she feels overloaded with too much information? '1 (Round to three decimal places as needed.) Use the contingency table to the right to determine the probability of events. a. What is the probability of event A? b. What is the probability of event A\"? B B' c. What is the probability of event A and B? A 80 10 d. What is the probability of event A or B? A' 50 10 a. The probability of event A is El. (Type an integer or decimal rounded to three decimal places as needed.) If there are eighteen multiple-choice questions on an exam, each having two possible answers, how many different sequences of answers are there? There are D different sequences of answers. (Type a whole number.)