Show the different branches of the Tree diagram with all the calculations. Include in the Tree diagram the overall probabilities. Calculate the probability of the Salesperson.
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The following information relates to the
Probability of Manager Peter choosing a Salesperson is 0.5
Probability of Manager Helen choosing a Salesperson is 0.4
Over the last 10 working days, Manager Peter has worked for 4 days, and Manager Helen worked 6 days. Only one manager works in a day.
REQUIRED:
Build a Tree diagram to show the probabilities of a Salesperson being selected.
Show the different branches of the Tree diagram with all the calculations. Include in the Tree diagram the overall probabilities. Calculate the probability of the Salesperson.
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- A high school basketball player has a 62% chance of making a free throw show and an 86% chance of making a lay-up. Draw a tree diagram and determine the probability of not making either shot.The sales agent Parson works in three cities A, B and C. To avoid unnecessary travel, he stays all day in the same city and spends the night there, moving to another city the next day if he does not have enough work. After working one day in C, the probability of having to continue working there the next day is 0.4, the probability of having to travel to B is 0.4 and the probability of having to travel to A is 0.2. If the traveler sleeps one day in B, with a probability of 20% he will have to continue working in the same city the next day, in 60% of the cases he will travel to C, while he will go to A with a probability of 0.2. Finally, if the sales representative works all day in A, he will remain in the same city the next day with a probability of 0.1, he will go to B with a probability of 0.3 and to C with a probability of 0.6. A) If today the commuter is in C, what is the probability that he will also have to work in C on the fifth day B) What are the percentages of days that the…Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
- In women’s tennis, a player must win 2 out of 3 sets to win a match. If a player wins the first 2 sets, she wins the match and the third set is not played. Player V and Player M will compete in a match. Player V and Player M have competed against each other many times. Historical data show that each player is equally likely to win the first set. If Player V wins the first set, the probability that she will win the second set is 0.60. If Player V loses the first set, the probability that she will lose the second set is 0.70. If Player V wins exactly one of the first two sets, the probability that she will win the third set is 0.45. What is the probability that Player V will win a match against Player M?In a town, there are three bridges: Bridge A, Bridge B, and Bridge C. On any given day, the probability of each bridge being open for passage is as follows: P(A) = 0.4, P(B) = 0.3, and P(C) = 0.5. If a resident needs to cross all three bridges in succession, what is the probability of successfully crossing all three bridges without encountering any closures?Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10
- You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.381, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.385, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Probability the Group will Vote for Ryuji Size of the Group Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number %. Is Ryuji expected to win? Yes O No