From a box of fruit containing 74 oranges and 1 apple a random sample of 2...

From a box of fruit containing 74 oranges and 1 apple a random sample of 2 pieces of fruit has been selected without replacement. Let X be the number of oranges and Y be the number of apples in the sample. What will the expected value of X, E(X)?

Expert Solution

TOPIC:Hypergeometric distribution, Expectation of random variables.

orchestra answered 2 years ago

From a box of fruit containing 75 oranges and 1 apple a random sample of 2...

From a box of fruit containing 75 oranges and 1 apple a random sample of 2 pieces of fruit has been selected without replacement. Let X be the number of oranges and Y be the number of apples in the sample. What will the covariance of X and Y be?

From a box of fruit containing 37 oranges and 1 apple a random sample of 2...

From a box of fruit containing 37 oranges and 1 apple a random sample of 2 pieces of fruit has been selected without replacement. Let X be the number of oranges and Y be the number of apples in the sample. What will the expected value of X, E(X)?

A box is chosen at random, and an apple is drawn from them. If the apple is medium. What is the probability that it was removed from the box?

There are three boxes of apples, containing two dozen apples each. Apples are classified as follows: large, medium, and small. The content of each box: A, B and C, is as follows:BoxesBig AppleMedium Applesmall appleTotalA681024B1014024C128424A box is chosen at random, and an apple is drawn from them. If the apple is medium. What is the probability that it was removed from the box?a) Ab) Bc) C

Two marbles are drawn at random and with replacement from a box containing 2 red, 3...

Two marbles are drawn at random and with replacement from a box containing 2 red, 3 green, and 4 blue marbles. Let's define the following events: A = {two red marbles are drawn} B = {two green marbles are drawn} C = {two blue marbles are drawn} D = two marbles of the same color are drawn} Find the probabilities of the following events: (a) P(A), P(B), P(C), and P(D). (b) P(A|D).

Suppose there is a basket containing one apple and two oranges. A student randomly pick one...

Suppose there is a basket containing one apple and two oranges. A student randomly pick one fruit from the basket until the first time the apple is picked. (Sampling with replacement) (a) What is the sample space for this experiment? What is the probability that the student pick the apple after i tosses? (b) What is the expected number of times the students need to pick the apple? (c) Let E be the event that the first time an apple...

A random sample is drawn from a population with mean μ = 74 and standard deviation...

A random sample is drawn from a population with mean μ = 74 and standard deviation σ = 6.2. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 18 and n = 47 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 18 will have...

There are n boxes, the 1st one containing 1 glass, the 2nd box containing 2 glasses,...

There are n boxes, the 1st one containing 1 glass, the 2nd box containing 2 glasses, the 3rd box containing 3 glasses, . . . , kth box containing k glasses, . . . nth box containing n glasses. In each box every glass is broken with probability 1/2 independently of all other glasses. A contestant chooses a box uniformly at random. Given that he found no broken glasses in this box, find the probability that he choose the 1st...

how to calculate quartiles and draw a box plot from a sample data set containing two...

how to calculate quartiles and draw a box plot from a sample data set containing two independent variables and one dependent variable?

Let ?1,?2, … , ?? be a random sample of size ? from a population that...

Let ?1,?2, … , ?? be a random sample of size ? from a population that can be modeled by the following probability model: ??(?) = ?? ?−1 ? ? , 0 < ? < ?, ? > 0 a) Find the probability density function of ?(?) = max(?1,?2, … , ??). b) Is ?(?) an unbiased estimator for ?? If not, suggest a function of ?(?) that is an unbiased estimator for ?.

Suppose that a random sample of n = 5 was selected from the apple orchard properties...

Suppose that a random sample of n = 5 was selected from the apple orchard properties for sale in Chilton County, Alabama, in each of three years. The following data are consistent with summary information on price per acre for disease-resistant apple orchards in Chilton County. Carry out an ANOVA to determine whether there is evidence to support the claim that the mean price per acre for vineyard land in Chilton County was not the same for each of the...

Question