Suppose that upper x has a discrete uniform distribution f left-parenthesis x right-parenthesis equals startlayout left-brace1st row 1st column 1 divided by 3, 2nd column x equals 1,2,3 2nd row 1st column 0, 2nd column otherwise endlayout a random sample of n equals 39 is selected from this population. find the probability that the sample mean is greater than 2.1 but less than 2.6. express the final answer to four decimal places (e. g. 0.9876).

What is the multiple zero and multiplicity of f(x) = (x ? 3)(x ? 3)(x + 5)? multiple zero is 3; multiplicity is 2 multiple zero is 5; multiplicity is 1 multiple zero is ? 5; multiplicity is 1 multiple zero is ? 3; multiplicity is 2

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Find the solution on the interval [0, 2pi)