16. A candidate is called for interview by the three companies. For the first company there are 12 candidates and for the there second are 15 candidates and for the third there are 10 candidates. What are the chances of his getting at least one of the companies.
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- A college radio station surveyed incoming freshmen to gather information about the types of music that they like. Here are the results. .624 incoming freshmen were surveyed in all .346 of the freshmen like jazz . 138 of the freshmen like both jazz and classical, but don't like rap • 61 of the freshmen like both jazz and rap, but don't like classical . 103 of the freshmen like rap, but like neither jazz nor classical . 114 of the freshmen like jazz, but like neither rap nor classical . 34 of the freshmen like classical, but like neither jazz nor rap . 575 of the freshmen like at least one of these three types of music (jazz, rap, classical) Construct a Venn diagram illustrating these results. Then answer the question. All freshmen in the survey Like jazz 49 Like classical Like rap How many of the freshmen like rap? freshmen X ŚIt is known that there are three boxes (I, II, III) each containing a number of black, yellow, and red balls. Box I contains 4 Black balls, 3 Yellow balls, 2 Blue balls and 3 Red balls. Box II contains 5 Black balls, 3 Yellow balls, 4 Blue balls and 2 Red balls. Box III contains 6 Black balls, 1 Yellow ball, 2 Blue balls and 3 Red balls. If a box is selected at random, then a ball is also drawn at random from the selected box, then: A) Find the probability that the ball drawn is a red ball.B) Calculate the probability that the ball comes from box I, if the chosen ball is Red!9. In a batting cage, a young future slugger is swinging for the cheap seats-counting the number of pitches from one "home run" (in her mind) to the next: for instance, if she counts 4, it means it took her 4 pitches to get her first home run after she hit the last one. For 20 independent "home runs," her counts were: 3, 6, 2, 16, 12, 4, 4, 5, 15, 11, 3, 3, 2, 1, 8, 11, 5, 1, 2, 1. Assuming that these data can be looked upon as a random sample from a geometric population, a) Derive the maximum likelihood estimator for the geometric distribution's parameter 0. b) Estimate the parameter for the population the given sample was drawn from. Interpret your result (this interpretation should include what the pertinent population is for this problem; what, then, the parameter would represent, etc.)
- A penny is tossed three times and the results heads and tails noted. The process is continued until there are 100 sets of threes. In 69 cases, heads fell first, in 49 cases, heads fell second and in 53 cases. Heads fell third. In 33 cases heads fell both first and second and in 21 cases heads fell both second and third. Show that there must have been at least 5 occasions on which heads fell three times, and that there could not have been more than 15 occasions on which tails fell three times, though there need not have been any.There are 10 red mables, 14 blue mables , 2 purple and 20 green marbles in a bag if a mable is chosen at Radom from the bag what is the possibility of getting a blue and a purple mable1. Read and analyze the following problems. Write your solution on a sheet of paper. The coach of the winning basketball team chooses 3 of the 15 members to be interviewed by a sports reporter. In how many ways can the members to be interviewed be chosen? A poker hand consists of 5 cards chosen at random from a standard deck of cards. How many poker hands containing all face cards are possible? 2. 3. Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? a. 5 people regardless of gender b. 3 females and 2 males C. at least 3 females d. 4 females and 1 male e. 5 females 4. In a game of poker, a full house is a combination of 5 cards chosen from a standard deck of cards with three of a kind and two of a kind. How many full houses are possible?
- A survey of magazine subscribers placed 61 celebrities in 3 categories. 36 were on the most powerful list. 30 were on the most liked list. 22 were on the most intelligent list. 5 were on all three lists. 16 were on the most powerful and most liked lists. 12 were on the most powerful and most intelligent lists. 9 were on the most liked and most intelligent lists. How many were only on the most intelligent list? How many were on none of the lists? were only on the most intelligent list. were on none of the lists, CQuestion 3 A company has 13 employees, and wants to create a team of 7 employees to work on a new project. The order of selection of the employees does not matter. How many different teams could be formed? You should show your work for this problem. > Next QuestionI need help on both questions. Thank you in advance!