Question

In: Statistics and Probability

Katie has 5 marbles in her book bag 3 Yellow (Y1, Y2, Y3) and 2 black...

Katie has 5 marbles in her book bag 3 Yellow (Y1, Y2, Y3) and 2 black marbles (B1 and B2). She is doing an experiment for her class where she picks one marble at a time randomly from her book bag. Katie stops picking marbles when she selects a black marble.

1. show the possible outcomes in a tree diagram

2. what are the possible values of the discrete random variable (x) that represent the total number of yellow marbles that can be picked before a black marble can be picked. Make probability distribution for each value and all components that are needed for each value.

Solutions

Expert Solution


Related Solutions

A jar contains 2 green marbles, G1 and G2, and 4 yellow marbles, Y1, Y2, Y3,...
A jar contains 2 green marbles, G1 and G2, and 4 yellow marbles, Y1, Y2, Y3, and Y4. Imagine that we do not know this. Suppose that our parameter p of interest is the proportion of marbles in the jar that are green. We will be allowed to take three marbles out the jar (all at once, without replacement). We will estimate p by looking at ˆp, the proportion of marbles in our sample that are green. (a) Write down...
What is the formula using RStudio to plot these 3 columns of data? Y1 Y2 Y3...
What is the formula using RStudio to plot these 3 columns of data? Y1 Y2 Y3 43595 43032 47474 27829 55141 35865 62946 40311 66920 47186 77191 56664 89661 68040 101373 64008 123904 79400 149453 96731 168672 100517 200977 89685 192985 105709 205667 120532 187450 127457 165613 117306 200871 106498 229394 79543 283229 106599 25092.23 289717 126328 24271.51 270585 160896 25828.99 279514 174346 27697.5 349768 176014 27956.23 339689 184417 29924.43 331610 174960 30216.83 351175 174960 32613.5 450569 104885 36053.17 421513...
What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?
What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?
Marks: 1 A bag of marbles contains 3 white and 4 black marbles. A marble will...
Marks: 1 A bag of marbles contains 3 white and 4 black marbles. A marble will be drawn from the bag randomly three times and put back into the bag. Relative to the outcomes of the first two draws, the probability that the third marble drawn is white is: Choose one answer. a. Independent b. Conditional c. Unconditional d. Dependent Question54 Marks: 1 A parking lot has 100 red and blue cars in it. 40% of the cars are red....
Suppose that a firm produces three outputs y1, y2 and y3 with 3 inputs z1, z2...
Suppose that a firm produces three outputs y1, y2 and y3 with 3 inputs z1, z2 and z3. The input-output requirements matrix is given by A below: A = (3 1 2) (2 5 1) (1 1 3) If the firm wants to produce 10 units of y1, 20 units of y2 and 10 units of y3, how much of z1, z2 and z3 will it require?
5. Max grabs three marbles from a bag containing five white marbles and six black marbles....
5. Max grabs three marbles from a bag containing five white marbles and six black marbles. What is the probability that exactly two of the marbles are black?
Cameron has a bag with 10 white marbles and 15 black marbles. What is the probability...
Cameron has a bag with 10 white marbles and 15 black marbles. What is the probability that he will choose (on two separate draws) two white marbles without replacement.
A bag of marbles contains 3 blue marbles, 2 green marbles. 2 marbles are selected from...
A bag of marbles contains 3 blue marbles, 2 green marbles. 2 marbles are selected from the bag without replacement. What is the probability of getting 1 green marble?
You have a jar that contains 4 pink marbles, 3 yellow marbles,and 5 gray marbles....
You have a jar that contains 4 pink marbles, 3 yellow marbles, and 5 gray marbles.You will take out a marble at random and then replace it. You will do this a total of8 times.(a) Given that you observe at least 6 pink marbles, what is the probability that youobserve 1 yellow marble and 1 gray marble?
Tommy has a bag with 7 marbles in it, and decides to draw 3 marbles from...
Tommy has a bag with 7 marbles in it, and decides to draw 3 marbles from the bag randomly. The marbles in the bag are all the same, but some of the marbles in the bag are red and some are purple. If we decide to test the null hypothesis "More red marbles than purple marbles" and the alternative hypothesis "More purple marbles than red marbles", what would be the level of significance? We will make the Rejection Region the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT