1.2 Describe in your own words, what the difference is between univariate and bivariate probability distributions.

What is the difference between discrete and continuous probability distributions? We will solve this problem with Excel Using BINOMDIST. Suppose that 48% of individuals 85 years and older have Alzheimer’s Disease.   You go to a nursing home that has been feeding residents a diet consisting of natural, organic, and healthy foods including free range chickens, omega 3 eggs, flax seed, etc.  You find that only 29 of 100 residents who are 85-years and older have Alzheimer’s disease?  What is the likelihood of this outcome? Use the formula for the corresponding probability distribution to solve the problem. A manufacturer of television set known that on an average 5% of their product is defective. They sells television sets in consignment of 100 and guarantees that not more than 2 set will be defective. Which probability distribution is appropriate for use in the scenario? What is the value of λ? Write down the formula for the Probability Distribution. What is the probability that the…

Incomes in a certain town are strongly right-skewed with mean $40,000 and standard deviation $8,000. A random sample of 5 households is taken. What is the probability the average of the sample is more than $42,000?

A television program reported that the U.S. (annual) birth rate is about 16 per 1000 people, and the death rate is about 7 per 1000 people. (a) Explain why the Poisson probability distribution would be a good choice for the random variable r = number of births (or deaths) for a community of a given population size? Frequency of births (or deaths) is a common occurrence. It is reasonable to assume the events are independent.Frequency of births (or deaths) is a rare occurrence. It is reasonable to assume the events are independent.    Frequency of births (or deaths) is a common occurrence. It is reasonable to assume the events are dependent.Frequency of births (or deaths) is a rare occurrence. It is reasonable to assume the events are dependent. (b) In a community of 1000 people, what is the (annual) probability of 6 births? What is the probability of 6 deaths? What is the probability of 17 births? 17 deaths? (Round your answers to four decimal places.) P(6 births) =   P(6 deaths) =…

We Love Cocoa! sells two-pound boxes of assorted chocolates. Because of imperfections in their equipment, the actual weight of the box of chocolates has a continuous uniform distribution ranging from 31.8 to 32.6 ounces. What is the probability that a box weighs exactly 31 ounces?

Do you think new package labeling or doing nothing is best? You will want to calculate the  percent of bars produced that are within 5 grams of 1000 grams and the percent of bars produced that are within 5 grams of 990 grams. In other words, given a uniform distribution between 980 and 1000, what is the probability of being between 995 and 1005 and what is the probability of being between 985 and 995?

(first part of question is attached) (e) What is the probability that the sample proportion of students of adults living with parents or other relatives is higher than 0.3? (f) What is the probability that the sample proportion of adults living alone is between 0.1 and 0.15?

I. Boston Children’s Hospital estimates that 90% of Americans have had chickenpoxby the time they reach adulthood.32(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distributionappropriate for calculating the probability that exactly 97 out of 100 randomly sampled Americanadults had chickenpox during childhood? Explain.(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpoxduring childhood.(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not hadchickenpox in their childhood?(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not hadchickenpox?