Find the number of ways to obtain selections. A bag contains 6 apples and 4 oranges....
Suppose you are shopping for fruit at the grocery store. There are apples, bananas and oranges. In how many ways can you buy 10 items of fruit? For example, you can buy 5 bananas, 3 oranges, and 2 apples; you could also buy 10 bananas and 0 apples and oranges. In how many ways can you buy 10 items of fruit, where you have to have at least one banana, one orange, and one apple?
Suppose you have 3 bags containing only apples and oranges. Bag A has 2 apples and 4 oranges, bag B has 8 apples and 4 oranges, and bag C has 1 apple and 3 oranges. You pick 1 fruit (at random) from each bag. a) What is the probability that you picked exactly 2 apples? b) Suppose you picked 2 apples but forgot which bag they came from. What is the probability that you picked an apple from bag A?
Suppose we want to fill a bag with 10 piece of fruit from 4 possible fruits: apples, pears, oranges, and lemons. How many ways are there to fill this bag with 10 pieces of fruit if we have the constraint that there are either oranges or lemons in the bag but never both? Ex: there may be oranges or lemons or neither of them but never both.
Two pieces of fruit are chosen at random from 2 apples, 3 oranges, and 4 bananas. Let X be the number of apples and let Y be the number of oranges. Find the moment generating function of X and Y.
Two pieces of fruit are chosen at random from 2 apples, 3 oranges, and 4 bananas. Let X be the number of apples and let Y be the number of oranges. Find the moment generating function of X and Y.
A basket of fruit contains 8 oranges and 6 apples. Stat A. Stishen decides to grab two pieces of at random. What is the probability he grabs one of each type ?
How many ways are there to select 6 pieces of fruit from a huge box containing apples, oranges, lemons, and grapefruits? (The order in which the pieces are selected does not matter, only the type of fruit and not the individual pieces matter, and there are a lot more than 6 pieces of each fruit in the box.)
From a sack of fruit containing 3 apples, 2 oranges, and 2 bananas, a random sample of 4 pieces of fruit is selected. Suppose X is the number of apples and Y is the number of oranges in the sample. (a) Find the joint probability distribution of X and Y. (b) Find P[CX,Y)EA], where A is the region that is given by {x,y) | X ys 2.
From a sack of fruit containing 3 apples, 2 oranges, and 2 bananas,...
Part b as well please
From a sack of fruit containing 2 apples, 3 oranges, and 2 bananas, a random sample of 4 pieces of fruit is selected. Suppose X is the number of apples and Y is the number of oranges in the sample (a) Find the joint probability distribution of X and Y (b) Find P[X,Y)EA], where A is the region that is given by {(x.y) | X ys 3. (a) Complete the joint probability distribution below. (Type...
A bag contains 6 red apples and 4 yellow apples. 4 apples are selected at random. Find the probability of selecting 1 red apple and 3 yellow apples. The probability is (Type an integer or a simplified fraction.)
3. From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, find (a) the joint probability distribution of X and Y; (b) P[(X, Y) ∈ A], where A is the region that is given by {(x, y) | x + y ≤ 2}.