Question

The binomial random variable y has a mean uv = 6.75 and a standard deviation oy = 2.25.What is P({Y=10})?


When making brown rice the amount of dry rice used can vary. Let ? be the random variable (RV) denoting the original amount dry brown rice in the recipe. The RV ? is uniformly distributed between 2 15 and 8 15 cups dry measure. The amount of chicken broth used is 5/6 of a cup liquid measure. Let the RV ? denote the amount of cooked rice in cups dry measure. The linear function between the two RV is ? = 3 2 ?+ 1 2. What is the probability that the amount of cooked rice is at most 1 cup dry measure?
a.) 50%           b.) 75%             c.) 25%           d.) 30%             e.) None of these.

An employee drives to work Monday through Friday. This employee has a favorite parking spot at work. The probability that parking spot will be open for this employee each of the 5 days is 33.3%. What is the probability that on three of the five days the parking spot is open

At a retail store a busy day is 90% likely to be followed by another busy day. On the other hand a slow day is 50% likely to be followed by another slow day. Construct a transition matrix with the columns labeled busy and slow and with the rows labeled in the same order. On the initial day (“day zero”) the store is busy. Use the transition matrix to determine the probability the store is slow the second day (“day two”).

The average cholesterol content of a certain brand of eggs is 215 milligrams (mg) and the standard deviation is 15 milligrams. The random variable is normally distributed. For a single egg the probability that the cholesterol is between 215 mg and 220 mg is determined. For a sample of 25 eggs the probability that the cholesterol is between 215 mg and 220 mg is determined. Which has greater probability?

Answer 1

It is given that the binomial random variable Y has a mean and a standard deviation

Solving for ,

The distribution of Y is Binomial .

The PMF of Y is .

The probability,

We are required to solve only one question. Please post the remaining questions as another post.