Question

In: Statistics and Probability

What two characteristics of the data do you need to determine which binomial distribution to use?...

What two characteristics of the data do you need to determine which binomial distribution to use?
What two characteristics of the data do you need to determine which Poisson distribution to use?
What two characteristics of the data do you need to determine which normal distribution to use?

(2) For the following scenarios determine if you should use Binomial, Poisson or Normal Distributions

(a) The experiment/problem involves 2 independent outcomes, a fixed number of trials with a known (fixed) probability of “success”

(b) The experiment/problem involves number of outcomes per area or time

(c) The experiment/problem involves determining the probability of certain measurements

Expert Solution

What two characteristics of the data do you need to determine which binomial distribution to use?

Binomial is an experiment or event with only two possible outcomes, example tossing a coin H or T, rolling a die either odd or even, or if determining the age whether above 30 or below 30.

One of the outcome is success usually defined as 'x'.

The parameters are

n - No. of independent trials with same probabiltiy of success

p - probability of success

What two characteristics of the data do you need to determine which Poisson distribution to use?

It is the probability of rare events within a period of time. Mostly the parameter is the value of average of mean.

- mean = variance = rate of the event

t - time period.

What two characteristics of the data do you need to determine which normal distribution to use?

The normal distribution are symmetrical and usually mention the mean and the SD.

- mean

- SD

(2) For the following scenarios determine if you should use Binomial, Poisson or Normal Distributions

Please review the definitions above for explanation

(a) The experiment/problem involves 2 independent outcomes, a fixed number of trials with a known (fixed) probability of “success”

Binomial

(b) The experiment/problem involves number of outcomes per area or time

Poisson

(c) The experiment/problem involves determining the probability of certain measurements

Normal

orchestra answered 2 years ago

The Binomial Distribution. 1. What makes the binomial distribution unique? What are its characteristics? Give a...

The Binomial Distribution. 1. What makes the binomial distribution unique? What are its characteristics? Give a real-world example of a distribution of data that would be considered binomial. 2. Solve the following problem: About 30% of adults in United States have college degree. (probability that a person has college degree is p = 0.30). If N adults are randomly selected, find probabilities that 1) exactly X out of selected N adults have college degree 2) less than X out of...

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can,...

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 52 % have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts (a) through (d) below. Determine whether a...

Use the binomial distribution to determine which of the following three games has the highest probability...

Use the binomial distribution to determine which of the following three games has the highest probability of winning. What is the minimum rational price you should charge to play this game if you must pay a winner $5.00? Game 1: throw a single die 6 times. You win if you roll a 1 at least once. Game 2: throw a single die 12 times. You win if you roll a 1 at least twice. Game 3: throw a single die...

In exercise 6, determine whether you can use a normal distribution t approximate the binomial distribution....

In exercise 6, determine whether you can use a normal distribution t approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities. A survey of U.S. adults found that 64% watch NFL football. You randomly select 20 U.S. adults and ask them whether they watch NFL football. Find the probability that the number who watch...

Determine whether or not the given procedure results in a binomial distribution. If not, identify which...

Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Spinning an American roulette wheel 63 times and recording the number of times the ball lands on green. Yes? Or No?

For which of the following settings might it be reasonable to use a binomial distribution to...

For which of the following settings might it be reasonable to use a binomial distribution to describe the random variable X? X is the number of calls received by GE's appliance service center per hour on Mondays through Fridays between 8:00 A.M. and 5:00 P.M. X is the number of ounces of soda dispensed by a machine into 10-ounce cups. A company has 250 employees. A random sample of 50 of the employees is taken. X is the number of...

1. How do you know when to use the binomial distribution to model a situation? [4...

1. How do you know when to use the binomial distribution to model a situation? [4 bullets] 2. How do you know when to use =NORMDIST versus when to use =NORMINV? [2 sentences] 3. What are the two ways that the distribution of sample means can be approximately normal? [2 bullets]

Determine which of the given procedures describe a binomial distribution. a. Record the number of songs...

Determine which of the given procedures describe a binomial distribution. a. Record the number of songs downloaded in a month for a group of 30 randomly selected college students. b. Observing that ten out of the next twenty customers at a grocery store checkout yse a credit card given that the probability of using a credit card is 0.58. c. Surveying customers entering a sporting equipment store until a customer responds that he or she was shopping for a bicycle....

Indicate using either a “B” (binomial) or a “P” (Poisson) which distribution you would use to...

Indicate using either a “B” (binomial) or a “P” (Poisson) which distribution you would use to predict random frequencies in the following data: Number of teeth per person with cavities in the population Number of times a fish inhales within a given time period Number of Girl Scout cookie boxes sold in front of Walmart each day Number of Drosophila legs with fewer than 5 bristles Number of mitochondria in a cell

Use Excel to generate the probability distribution for a binomial random variable for which there are...

Use Excel to generate the probability distribution for a binomial random variable for which there are 20 trials (n = 20) and the probability of success is 0.5 (p = 0.5), and show the graph.