According to a Gallup poll, more than half of all Americans drink at least one glass...
According to a Gallup poll, more than half of all Americans drink at least one glass of soda per day. Suppose X is a random variable that represents the number of glasses of soda that a randomly selected American drinks each day. The probability distribution for X is given:
| X | 0 | 1 | 2 | 3 | 4 |
| P(X=x) | .4 | .33 | .14 | .09 | .04 |
Given a randomly selected American drinks at least two glasses of soda each day what is the probability that they will drink a total of four glasses of soda each day?
Suppose two Americans are selected at random what is the probability that both of them will drink at least two glasses of soda each day?
Homework Answers
1)
Given a randomly selected American drinks at least two glasses of soda each day what is the probability that they will drink a total of four glasses of soda each day
=P(X=4|X>=2) =P(X=4)/P(X>=2) =0.04/(0.14+0.09+0.04)=0.1481
2)
probability that both of them will drink at least two glasses of soda each day =P(X>=2)*P(X>=2)=0.27*0.27=0.0729
Add Answer to:
According to a Gallup poll, more than half of all Americans
drink at least one glass...
July 2012 Gallup poll 3.1.22 In a July 2012 Gallup poll based on a representative sample...
July 2012 Gallup poll 3.1.22 In a July 2012 Gallup poll based on a representative sample of 1014 adult Americans, 48% reported drinking at least one glass of soda pop on a typical day. Now suppose that we test the null hypothesis π = 0.5 vs. the alternative hypothesis π ≠ 0.5. Describe (in words) what the symbol π represents here. a. proportion of all American adults in the sample who drink at least one soda on a typical day...
A Gallup poll reports that 26% of Americans believe big business is the biggest threat to...
A Gallup poll reports that 26% of Americans believe big business is the biggest threat to the nation. (Gallup.com website article, in U.S., Fear of Big Government at Near-Record Level, December 12, 2011). Let’s assume this value represents the true population proportion. Suppose we randomly sample 200 Americans and ask them their beliefs about big business. We will assume the population proportion, p = .26, sample size n = 200 A) What are the values of np, and n(1-p)? B)...
A Gallup poll of 1,236 adults showed that 12% of the respondents believe that it is...
A Gallup poll of 1,236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Suppose 30 people are selected at random from among the 1,236 were polled, and further suppose we want to calculate the probability that at least 2 of the 30 believe it is bad luck to walk under a ladder. Given that the 30 subjects were selected without replacement, those selections are not independent. Can the probability be...
Having trouble with these two problems 3. Suppose a Coed basketball team consists of 7 females...
Having trouble with these two problems
3. Suppose a Coed basketball team consists of 7 females and 8 males. Suppose a starting line-up of five players is randomly selected (each possible starting line-up is equally likely). What is the exact probability that the chosen starting line-up contains at least one male? A bar is trying to get a feel for the number of drinks that a person will order. Let the random variable X denote the number of drinks a...
*Problem #36) The problem numbers below correspond to problems in the textbook for section 6.2 (pg. 340). Use the scenar...
*Problem #36) The problem numbers below correspond to problems
in the textbook for section 6.2 (pg. 340). Use the scenario given
in the textbook problem to answer the questions given here. In
other words, replace parts (a), (b), etc. from the book with the
questions below. Please show the probabilities necessary to support
all of your answers, particularly when asked whether a particular
result is unusual.
Problem #36) (a) Identify the properties of this binomial
distribution: What does a "success"...
U.S. schools face an ongoing challenge: as students get closer to high school graduation, their enthusiasm...
U.S. schools face an ongoing challenge: as students get closer to high school graduation, their enthusiasm for school falls. A Gallup poll in June 2017 has discovered that fifth graders are most engaged with school, while 11th graders are least. The latest Gallup poll showed that only 32% of 11th graders are engaged in school. Assume this value represents the population proportion. Suppose we randomly sample 150 11th graders in the U.S. and ask them their engagement in school. ?...
(c) If you buy 4 spark plugs, what is the probability that at least one is...
(c) If you buy 4 spark plugs, what is the probability that at least one is defective? 5. At Least One Girl: Suppose a couple plans to have 4 children and the probability of a boy is 0.50. Find the probability that the couple has at least one girl. 6.* Lie Detector: Suppose a lie detector test can detect a lie 95% of the time. You get hooked up and tell 10 truths and 10 lies. What is the probability...
Probability and I A recent Gallup Poll asked a simple random sample o cigarettes in the...
Probability and I A recent Gallup Poll asked a simple random sample o cigarettes in the past week?" Suppose that in fact 20 question. The proportion of the sample who answer this, we simulated 1000 samples of size n=1600 from a populatie smoked cigarettes in the past week. The results of this simula the percentage column and write your answers as decimals done for you as an example.) om sample of 1600 American adults, "Have you, yourself smoked any ose...
Problem 6 Five applicants for a job are ranked according to ability, with being the best....
Problem 6 Five applicants for a job are ranked according to ability, with being the best. These rankings are unknown to an employer, who simply hires two applicants at random. What is the probability that this employer hires exactly one of the two best applicants? Problem 7 Five motors ( through 5) are available for use, and motor 2 is defective. Motors 1 and 2 come from supplier I, and motors 3, 4, and 5 come from supplierIL. Suppose two...
the following questions are either true or false answers 1. The Central Limit Theorem allows one...
the following questions are either true or false answers 1. The Central Limit Theorem allows one to use the Normal Distribution for both normally and non-normally distributed populations. 2. A random sample of 25 observations yields a mean of 106 and a standard deviation of 12. Find the probability that the sample mean exceeds 110. The probability of exceeding 110 is 0.9525. 3. Suppose the average time spent driving for drivers age 20-to-24 is 25 minutes and you randomly select...
A Gallup poll of 1,236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Suppose 30 people are selected at random from among the 1,236 were polled, and further suppose we want to calculate the probability that at least 2 of the 30 believe it is bad luck to walk under a ladder. Given that the 30 subjects were selected without replacement, those selections are not independent. Can the probability be...
Having trouble with these two problems
3. Suppose a Coed basketball team consists of 7 females and 8 males. Suppose a starting line-up of five players is randomly selected (each possible starting line-up is equally likely). What is the exact probability that the chosen starting line-up contains at least one male? A bar is trying to get a feel for the number of drinks that a person will order. Let the random variable X denote the number of drinks a...
*Problem #36) The problem numbers below correspond to problems
in the textbook for section 6.2 (pg. 340). Use the scenario given
in the textbook problem to answer the questions given here. In
other words, replace parts (a), (b), etc. from the book with the
questions below. Please show the probabilities necessary to support
all of your answers, particularly when asked whether a particular
result is unusual.
Problem #36) (a) Identify the properties of this binomial
distribution: What does a "success"...
(c) If you buy 4 spark plugs, what is the probability that at least one is defective? 5. At Least One Girl: Suppose a couple plans to have 4 children and the probability of a boy is 0.50. Find the probability that the couple has at least one girl. 6.* Lie Detector: Suppose a lie detector test can detect a lie 95% of the time. You get hooked up and tell 10 truths and 10 lies. What is the probability...
Probability and I A recent Gallup Poll asked a simple random sample o cigarettes in the past week?" Suppose that in fact 20 question. The proportion of the sample who answer this, we simulated 1000 samples of size n=1600 from a populatie smoked cigarettes in the past week. The results of this simula the percentage column and write your answers as decimals done for you as an example.) om sample of 1600 American adults, "Have you, yourself smoked any ose...
Problem 6 Five applicants for a job are ranked according to ability, with being the best. These rankings are unknown to an employer, who simply hires two applicants at random. What is the probability that this employer hires exactly one of the two best applicants? Problem 7 Five motors ( through 5) are available for use, and motor 2 is defective. Motors 1 and 2 come from supplier I, and motors 3, 4, and 5 come from supplierIL. Suppose two...
Most questions answered within 3 hours.
-
A new machine costs $150,000, lasts 10 years, has an annual
O&M cost of $50,000, and...
asked 1 minute ago -
A newspaper in a large Midwestern city reported that the
National Association of Realtors said that...
asked 2 minutes ago -
1. Develop a use case diagram for the bank case study described
in Chapter 1. 2....
asked 12 minutes ago -
The phylum Protista has often been referred to as a junk drawer
of classification. Explain what...
asked 19 minutes ago -
The average amount of money spent for lunch per person in the
college cafeteria is $7.09...
asked 21 minutes ago -
You follow the lab procedure and at the end of Part 4C, you used
an average...
asked 40 minutes ago -
Write 250-450 words, about the following: • Analyze how a
servant leader in your organization or...
asked 43 minutes ago -
3. American and Japanese workers can each produce 4 cars a
year. An American worker can...
asked 46 minutes ago -
On October 1, 20X1, a company purchased a piece of land by
agreeing to pay the...
asked 58 minutes ago -
Jamie is doing a survey at her school about whether the students
feel the cafeteria food...
asked 1 hour ago -
What are the roles of 3' and 5' untranslated regions in
mRNAs?
asked 1 hour ago -
A domestic television receives antenna delivers a sky noise
power of -105 dBm to a matched...
asked 1 hour ago