Suppose you have a box of well-stirred dry beans: 100 red, 70 white, 80 black, and 50 green.
a. The probability of pulling a red then a black then a red then a black with replacement of reds only.
b. The probability of pulling a white then a black then a white then a green then a red without replacement.
c. The probability of pulling a green then a black then a green then a black then a white with replacement of greens and whites only.
d. The probability of pulling a red then a black then a red then a white then a green with replacement of reds only.
e. The probability of pulling a red and a green without replacement.
f. The probability of pulling a green then a green then a red then a red then a black without replacement of greens only.
Suppose you have a box of well-stirred dry beans: 100 red, 70 white, 80 black, and...
Suppose that you have an urn with 500 balls, 100 of which are red and 400 are black. (a) You sample 10 balls at random with replacement. What is the probability that at least 2 of them are red? (b) You sample 10 balls at random without replacement. What is the probability that none of them are red? (expression only)
There are 400 red gumballs, 200 white gum balls, 300 black and 100 green. You have three dimes (each piece is worth 10 cents). What is the probability of getting no black gumballs? ******MUST USE THE FORMULA OF NONE = 1-ALL*****
(+5)* 6. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? b) both end balls are blue?
Part B 5* 7. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? ) both end balls are blue ?
Suppose that a box contains 40 red balls, 30 black balls, and 20 yellow balls. A sample of five balls is drawn without replacement. Let x number of red, y number of black and z number of yellow Find the probability that x 1, y 1, and z=3. Find the joint pdf of X and Z а. b
If we were to have a box of marbles containing 2 red, 2 black, 2 blue, and 2 yellow, and we drew out a marble, we would then have the choice of keeping the marble out or putting it back. Each choice affects the odds (probability) of subsequent draws differently. If we draw out a red marble and put it back, this is known as with replacement, and the odds of subsequent draws are the same is for the first...
Activity 2. Suppose you have a random sequence of black, red and white marbles and want to rearrange it such that the marbles in each color are grouped together, with the order black, white and then red. Write an algorithm using pseudocode to solve this problem. Do your best to optimize your initial solution.
Consider this testing situation. A box contains 16 chips (with some mixture of red and black chips). Suppose we have the following hypotheses: HO: The box contains R=8 red and B=8 black chips. HA: The box contains some other mixture of red and black chips. We randomly select 5 chips simultaneously from the box without replacement. Our Test Statistic is the Y = # of Black chips found in the sample. Suppose we use the following decision rule:...
You have two boxes filled with colored marbles. The first box has 3 red marbles and 5 green. The second box has 2 red marbles and 4 green. You shuffle the marbles really well and without looking pull a marble out of the first box and place it into the second box. Then, again, without looking, you draw a marble from the second box. What is the probability of drawing a red marble from the second box?
#2 1. Suppose a box contains 4 red marbles and 4 green marbles. If you select 3 marbles with replacement what is the probability of getting all red marbles Answer: Here the and is implied. You need to get and a red on the third Since we are selecting with replacement, the events a red on the first and a red on the second PlRi and R and R) = p(R)、P(R,) , p(Rs) = 8 = (5) 2. Suppose you...