
Problem 4. How many ways to make a basket of eight fruit from a possible collection...
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 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.
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.)
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.
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,...
I. A child is picking fruit from a basket they can't see in. The basket contains 12 apples and 4 oranges. Which of the following would be considered a binomial random variable? Explain below what makes it binomial. Fruits are randomly selected, with replacement, until the child gets an apple. Let X the number of attempts it takes for the kid to get an apple. The child picks 3 fruits, one at a time with replacement, the number of apples...
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}.
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...
From a sack of fruit containing 3 oranges, 2 apples, and 2 bananas, a random sample of 5 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, the joint probability distribution of X and Y is given by the accompanying function. Determine the correlation coefficient
Find the number of ways to obtain selections. A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without looking, how many ways can you get 5 apples?