Tree Diagrams
True or False: Tree diagrams are useful when given a problem with 1 conditional probability.
False!
Consider a preschool class with three left-handed children and seven right-handed children. Two children are selected without replacement. Let X be the number of left handed children chosen. Find the probability no left-handed children are chosen.
0.4200
True or False: If two events are disjoint then they must be independent.
False
Given that students attend a final review, they have a 95% chance of passing the final exam, and given the don't attend the final review sessions, they have a 20% chance of passing the final exam. The professor estimates that 70% of the students will attend the final review session. Let event A be that a student attends the review session and event P be that a student passes the final. Create a tree diagram.
See Whiteboard
Consider a preschool class with three left-handed children and seven right-handed children. Two children are selected without replacement. Let X be the number of left handed children chosen. Find the probability two left-handed children are chosen.
0.0667
The probability of event A is 0.35. The probability of event B is 0.45. If events A and B are independent, The P(A or B) is ...
0.6425
Given that students attend a final review, they have a 95% chance of passing the final exam, and given the don't attend the final review sessions, they have a 20% chance of passing the final exam. The professor estimates that 70% of the students will attend the final review session. Let event A be that a student attends the review session and event P be that a student passes the final. What is the probability that a student both attended the final review session and passed the final.
0.665
Consider a preschool class with three left-handed children and seven right-handed children. Two children are selected without replacement. Let X be the number of left handed children chosen. Find the probability exactly one left-handed child is chosen.
0.4667
The probability of event A is 0.40. The probability of event B is 0.15. If events A and B are independent, find P(A or B).
0.4900
Given that students attend a final review, they have a 95% chance of passing the final exam, and given the don't attend the final review sessions, they have a 20% chance of passing the final exam. The professor estimates that 70% of the students will attend the final review session. Let event A be that a student attends the review session and event P be that a student passes the final. Given that a student passes the final, what is the probability they attended the review session?
0.9172
True or False: Sampling without replacement means the two events are INDEPENDENT of each other.
False!
Assume the probability of a student receiving a athletic scholarship is 0.25 (event A). The probability of a student receiving a merit scholarship if he is awarded the athletic scholarship is 0.62. What is the probability he is awarded both the merit and athletic scholarship?
0.155
Suppose it is known that 36% of young adults (ages 18-31) live in their parents home. Of the young adults who live in their parents' home, 45% are unemployed. 31% of young adults who do not live in their parents' home are unemployed. Let A be the event that a young adult lives in their parents' home, and let B be the event that a young adult is unemployed. If a young adult selected at random is unemployed, what is the probability that they do not live in their parents' home?
0.6904
A bag containing 4 red marbles and 7 blue marbles. Two marbles are drawn from the bag, without replacement. Let X = the number of red marbles selected. Construct a probability distribution for the number of red marbles drawn.
P(X=0): 0.3818
P(X=1): 0.5091
P(X=2): 0.1091
Suppose that 13% of people in the U.S. are senior citizens (65 years old or older). 22% of people in the U.S. get the flu each year. It is known 14% of senior citizens get the flu each year. Find the probability that a randomly selected person is a senior citizen and will get the flu this year?
0.0182