# Question: An urn contains 64 balls of which N1 are orange

An urn contains 64 balls, of which N1 are orange and N2 are blue. A random sample of n = 8 balls is selected from the urn without replacement, and X is equal to the number of orange balls in the sample. This experiment was repeated 30 times (the 8 balls being returned to the urn before each repetition), yielding the following data:

Using these data, guess the value of N1 and give a reason for your guess.

Using these data, guess the value of N1 and give a reason for your guess.

## Relevant Questions

Let independent random samples, each of size n, be taken from the k normal distributions with means μj = c + d[j − (k + 1)/2], j = 1, 2, . . . , k, respectively, and common variance σ2. Find the maximum likelihood ...In some situations where the regression model is useful, it is known that the mean of Y when X = 0 is equal to 0, i.e., Yi = βxi + εi where εi for i = 1, 2, . . . , n are independent and N(0, σ2). Let X1, X2, . . . , Xn be a random sample from N(0, σ2), where n is odd. Let Y and Z be the mean and median of the sample. Argue that Y and Z − Y are independent so that the variance of Z is Var(Y) + Var(Z− Y). We know ...Consider the likelihood function L(α, β, σ2) of Section 6.5. Let α and β be independent with priors N(α1, σ12) and N(β0, σ02). Determine the posterior mean of α + β(x − x). Let X equal the weight in grams of a “52-gram” snack pack of candies. Assume that the distribution of X is N(μ, 4). A random sample of n = 10 observations of X yielded the following data: (a) Give a point estimate for ...Post your question