Suppose there are n independent trials of an experiment with k>3 mutually exclusive outcomes, where pi...
Suppose there are n independent trials of an experiment with k>3 mutually exclusive outcomes, where pi represents the probability of observing the ith outcome. What would be the formula of an expected count in this situation?
Choose the correct answer below.
A.
The expected counts for each possible outcome are given by
Ei=npi.
B.
The expected counts for each possible outcome are given by
Ei=n/pi (n over pi)
C.
The expected counts for each possible outcome are given by
Ei=pi.
D.
The expected counts for each possible outcome are given by
Ei=n.
Homework Answers
The given situation is suppose there are n independent trials of an experiment with k>3 mutually exclusive outcomes, where pi represents the probability of observing the ith outcome.
This is a binomial experiment with number of trial n and probability of the outcome is pi.
So the expected count for each possible outcome are given by Ei = npi
The correct option is A.
Add Answer to:
Suppose there are n independent trials of an experiment with
k>3 mutually exclusive outcomes, where pi...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A,...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the probability of outcome A is 0.40; the probability of outcome B is 0.40; and the probability of outcome C is 0.20. Suppose there are 10 trials. Can we use the binomial experiment model to determine the probability of four outcomes of type A, five of type B, and one of type C? Explain.
In an experiment, there are n independent trials. For each trial, there are three outcomes, A,...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the probability of outcome A is 0.20; the probability of outcome B is 0.70; and the probability of outcome C is 0.10. Suppose there are 10 trials. (a) Can we use the binomial experiment model to determine the probability of four outcomes of type A, five of type B, and one of type C? Explain. No. A binomial...
Answer and explain For each of the following examples, determine which characteristics of a binomial experiment...
Answer and explain
For each of the following examples, determine which characteristics of a binomial experiment apply, and then check the appropriate boxes. A random sample of 120 individuals is selected from a large group with ages ranging from 18 to 87 years. Each person is exposed to the same loud noise, and the person's reaction time is measured. Check all that apply. Each trial has only two possible (mutually exclusive) outcomes. The outcome of each trial is independent of...
7. Suppose that an experiment has two outcomes 0 or 1 (such as flipping a coin). Suppose that independent experimen...
7. Suppose that an experiment has two outcomes 0 or 1 (such as flipping a coin). Suppose that independent experiments and for the ith experiment you let the random variable X Ber(p) with we will assume for this problem that p is the same for each i). Then, you run n tell you the outcome for 1 isn. Then we can assume that for each i, that X p P(X 1) (where ΣΧ. let X (a) What is the state...
1. Let X1, X2 X denote the outcomes of a series of n independent trials, where...
1. Let X1, X2 X denote the outcomes of a series of n independent trials, where each X is N(a,o). Assume we know that a 2. (a) Show that -(X,+X)/2 and pa-(X, +..+X0)/10 are unbiased estimators for- . (b) What are the MSE of the two estimators? (c) Given the following observations (from the N(5,22) distribution): 2.30, 11.07, 6.45, 4.87, 6.43, 4.59, 4.75, 7.98, 7.82, 7.83. What is the sample variance?
Suppose X1,X2,…,Xn represent the outcomes of n independent Bernoulli trials, each with success probability p. Note...
Suppose X1,X2,…,Xn represent the outcomes of n independent
Bernoulli trials, each with success probability p. Note that we can
write the Bernoulli distribution as:
Suppose X1 2 X, represent the outcomes of n independent Bernou i als, each with success probabil ,p. Note that we can writ e the Bernoulǐ distribution as 0,1 otherwise Given the Bernoulli distributional family and the iid sample of X,'s, the likelihood function is: -1 a. Find an expression for p, the MLE of p...
. A multinomial experiment consist of a sequence of n independent and identical trials where the...
. A multinomial experiment consist of a sequence of n independent and identical trials where the result in each trial is one of possible m different categories. This categorical variable can be represented as an ordinary discrete variable with values in {1, . . . , m} and probabilities {p1, . . . , pm} . Use this setting and explain that merging together some categories so that m is reduced will give a new multinomial distribution. For instance unifying...
R CODE PROGRAM 1. Suppose we want to simulate an experiment that can take outcomes 1;...
R CODE PROGRAM 1. Suppose we want to simulate an experiment that can take outcomes 1; : : : ; n with probabilies p1; : : : ; pn. To be specic, suppose the R-vector p=c(.1,.2,.3,.35, .02, .03) gives the desired probabilities. Write R code that produces a number from 1 to 6 with the given probabilities, without using if statements. I recommend using the R command cumsum to do this, though there many possible approaches. 2. Suppose we are...
each trial, the mean of the distribution is assumed to be mp, where n is the number of independent trials. 4 Point Extra Credit: Derive the Expected Value of X by constructing a TABLE to describe...
each trial, the mean of the distribution is assumed to be mp, where n is the number of independent trials. 4 Point Extra Credit: Derive the Expected Value of X by constructing a TABLE to describe the probability density funetion b and the cumulative distribution function for the binomial distribution with n-13 and p37 (forx-0,1,2, ...n). Solve using the binomial formula to 8 decimal places. Additional Point Extra Credit: Using the TABLE you constructed, also find the Varianee. Compare the...
Remember back to Tess Tastypop. She tasted Dr. Pepper 3 times and each time she had...
Remember back to Tess Tastypop. She tasted Dr. Pepper 3 times and each time she had a probability of liking Dr. Pepper, which was 0.75. Each taste was independent, and we said that the count of the number of likes followed a Binomial Distribution. I observed Tess drinking the Dr. Pepper 3 times over 100 trials and recorded the number of likes for each trial. I ended up with the frequencies shown below. Run a chi-square analysis that will test...
Answer and explain
For each of the following examples, determine which characteristics of a binomial experiment apply, and then check the appropriate boxes. A random sample of 120 individuals is selected from a large group with ages ranging from 18 to 87 years. Each person is exposed to the same loud noise, and the person's reaction time is measured. Check all that apply. Each trial has only two possible (mutually exclusive) outcomes. The outcome of each trial is independent of...
7. Suppose that an experiment has two outcomes 0 or 1 (such as flipping a coin). Suppose that independent experiments and for the ith experiment you let the random variable X Ber(p) with we will assume for this problem that p is the same for each i). Then, you run n tell you the outcome for 1 isn. Then we can assume that for each i, that X p P(X 1) (where ΣΧ. let X (a) What is the state...
1. Let X1, X2 X denote the outcomes of a series of n independent trials, where each X is N(a,o). Assume we know that a 2. (a) Show that -(X,+X)/2 and pa-(X, +..+X0)/10 are unbiased estimators for- . (b) What are the MSE of the two estimators? (c) Given the following observations (from the N(5,22) distribution): 2.30, 11.07, 6.45, 4.87, 6.43, 4.59, 4.75, 7.98, 7.82, 7.83. What is the sample variance?
Suppose X1,X2,…,Xn represent the outcomes of n independent
Bernoulli trials, each with success probability p. Note that we can
write the Bernoulli distribution as:
Suppose X1 2 X, represent the outcomes of n independent Bernou i als, each with success probabil ,p. Note that we can writ e the Bernoulǐ distribution as 0,1 otherwise Given the Bernoulli distributional family and the iid sample of X,'s, the likelihood function is: -1 a. Find an expression for p, the MLE of p...
each trial, the mean of the distribution is assumed to be mp, where n is the number of independent trials. 4 Point Extra Credit: Derive the Expected Value of X by constructing a TABLE to describe the probability density funetion b and the cumulative distribution function for the binomial distribution with n-13 and p37 (forx-0,1,2, ...n). Solve using the binomial formula to 8 decimal places. Additional Point Extra Credit: Using the TABLE you constructed, also find the Varianee. Compare the...
Most questions answered within 3 hours.
-
Question1 ) The STL provides similiar classes called stack and
queue, both of which gave functions...
asked 9 minutes ago -
For Questions 1-4, assume you have 5 bits available:
1. For (positive) integers: What is the...
asked 10 minutes ago -
convert grams into vloume with the density of water being at
.997514 g/cm^3 at 23.1 Celsuis...
asked 2 hours ago -
Foreman company obtained a $20,000, 6% loan on May 1, 2018.
Principal and interest will be...
asked 2 hours ago -
5. Problem 11.05 (Discounted Payback)
eBook
Project L costs $60,000, its expected cash inflows are $14,000
per...
asked 2 hours ago -
1. Which of the following is true about politics and health
organizations?
A. Health organizations are...
asked 3 hours ago -
A space vehicle is coasting at a constant velocity of 18.1 m/s
in the +y direction...
asked 4 hours ago -
5) Use the following balanced equation to answer questions
(a)-(i).
3 Cu(s) + 8 HNO3(aq) →...
asked 3 hours ago -
A three-year maturity bond with a 12% annual coupon rate is
currently traded at par $1000...
asked 4 hours ago -
1.
What is the minimum volume to use in the Spec 20 cuvette in order
to...
asked 4 hours ago -
A builder wants to install wall-to-wall carpeting in a living
room of length 8.87 m and...
asked 4 hours ago -
Organizational change can produce anxiety in those affected by
the change. In what ways can change...
asked 4 hours ago