Questions on Binomial Probability Models. Binomial probability answered by real tutors!

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Question 1166928: the weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. find the weight that corresponds to each event?
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Question 1167860: The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 49 and a standard deviation of 5. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 44 and 49?

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Question 1209744: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 9.9.
Find the probability of no dandelions in an area of 1 m².

Find the probability of at least one dandelion in an area of 1 m².
P(at least one) =
0.99995
Correct
Find the probability of at most two dandelions in an area of 1 m².


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Question 1186719: A “fair,” “relatively thick” coin, when flipped, can show heads (H) or tails (T) with equal probabilities, but it is also probable to come to rest on its edge (E) with a probability of 4.5% (0.045). Showing your work, answer the following questions
1. Set up a probability distribution table for the three possible events.
2. If the coin were flipped twice, what would be the probability that it would show tails the first time and would come to rest on its edge the second time? Provide a brief explanation to support your computation(s). Show the probability value in 4 decimal places.




3. If the coin were flipped 14 times, what would be the probability that the coin would come to rest on its edge (“getting edge”) at most twice? Showing your work, report the probability value in 4 decimal places. Treat the problem as a binomial experiment.




4. Determine the probability of getting heads between 4 to 6 times (both inclusive), i.e., 4 times, 5 times, or 6 times, when the coin is flipped 14 times. Showing your work, report the probability value in 4 decimal places. Treat the problem as a binomial experiment.




5. What is the probability of getting “heads or tails” at least once when the coin is flipped 14 times? Showing your work, report the probability value in 4 decimal places. Treat the problem as a binomial experiment.

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Question 1195769: 1. As part of a study to determine the effect of bumetanide on urinary calcium excretion, nine randomly selected men each received an oral dose of .5 mg of the drug. Urine was collected hourly for the next six hours. The mean excretion rate for this sample of nine men was found to be 7.5 mg/hr, with a standard deviation of 6.0 mg/hr.
a. What is the 98% confidence interval estimate of the population mean excretion rate for all men receiving bumetanide? Interpret this interval.
b. Urine was also collected from a random sample of 16 men who did not receive bumetanide. The mean excretion rate for this sample was 6.5 mg/hr, with a standard deviation of 2.0 mg/hr. What is the 98% confidence interval estimate of the difference in excretion rates between the population of men receiving the drug and the population of men who did not receive it?

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Question 1208472: The chance that a U.S. police chief believes the death penalty “significantly reduces the number of homicides” is 1 in 4. If a random sample of 8 police chiefs is selected, find the probability that at most 3 believe that the death penalty significantly reduces the number of homicides.
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Question 1208174: Mr. Taylor filled out a bracket for the NCAA national tournament based on his knowledge of college basketball. He has a 0.46. Probability of guessing anyone game correctly what is the probability Mr. Taylor will pick all 32 of the first round games correctly what is the probability Mr. Taylor will pick exactly 18 games correctly in the first round what is the probability Mr. Taylor will pick at least 18 games correctly in the first round what is the probability Mr. Taylor will pick exactly 22 games incorrectly in the first round.

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Question 1208046: A fair die is thrown once. Find the probability of obtaining :a six, an even number, a number greater than 3,a three or a five
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Question 1208046: A fair die is thrown once. Find the probability of obtaining :a six, an even number, a number greater than 3,a three or a five
Click here to see answer by ikleyn(52874) About Me 

Question 1207193: A special deck of 16 cards has 4 that are blue, 4 yellow, 4 green, and 4 red. The four
cards of each color are numbered 1 through 4. A single card is drawn at random. Define
events
B: the card is blue
R: the card is red
N: the number on the card is at most two
(a) List the outcomes that comprise B, R, and N. (Use notation like B3 to represent a
blue card with a 3 on it.)
(b) List the outcomes that comprise B ∩ R, B ∪ R, B ∩ N, R ∪ N, B, and B ∪ R.
(c) Assuming all outcomes are equally likely, find the probabilities of the events in the
previous part.
(d) Determine whether or not B and N are mutually exclusive. Explain why or why not.
3. (O7) In early 2001, the United States Census Bureau started releasing the results of th

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Question 1204476: . Airlines sell more tickets for a flight than the number of available seats (overbooking). They do this because they know from past experience that only 90% of ticketed passengers actually show up for the flight.
(a) A plane has 9 seats. If the airline sells 11 tickets for a flight, what is the probability that the flight will be overbooked (the number of passengers who show up is greater than the number of available seats)?
(b) A plane has 235 seats. If the airline sells 250 tickets for a flight, what is the probability that the flight will be overbooked (the number of passengers who show up is greater than the number of available seats)? Use the normal approximation for this please

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Question 1204338: An exam consists of 20 multiple choice questions, each with 5 answer choices. If a student guesses on every question, this a binomial experiment with the random variable

X
=
Number of questions answered correctly
What is the probability that the student answers exactly 4 questions correctly?

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Question 1203585: The time required to complete a college achievement test was foundto be normally
distributed, with a mean of 110 minutes and standard deviation of20 minutes.
(a) What proportion of the students will ?nish within 2 hours (120minutes)?
(b) What proportion of the students will ?nish at exactly 2hours?
(c) When should the test be terminated to allow just enough timefor 90% of the
students to complete the test

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Question 1202956: A committee consisting of 3 men and 4 women is to be choose at random from 5 women and 6 men. What is the probability that one particular women and man will be on it.
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Question 1202956: A committee consisting of 3 men and 4 women is to be choose at random from 5 women and 6 men. What is the probability that one particular women and man will be on it.
Click here to see answer by greenestamps(13208) About Me 

Question 1202716: You are taking a true/false test that has 60 questions If you guess on each question, and have the same chance of guessing the correct answer on each question, what is the probability you get at least 65% of the questions correct?
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Question 1202116: A grocery store counts the number of customers who arrive during an hour. The average over a year is 19 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.)
Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals.

Find the probability that at least two customers arrive in a particular 5 minute period. Round your answer to four decimals.

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Question 1199983: A jar contains a very large number of purple jelly beans and green jelly beans. There are three times as many purple ones as green ones. If an individual chooses 5 beans from the jar, estimate the probability that 3 of the beans will be green?
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Question 1199468: (x:100,0.3)

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Question 1198390: Among 200 patients at a Tikur Anbessa hospital. 40 of them are
cardiac patients, 100 of them are cancer, patients and 60 of
them are diabetic patients. The hospital wants to give free
medical service for some patients. ♦ A) What is the probability that 5 cardiac and 10 cancer patients
are given free medical treatment? ♦ B) What is the probability that 2 cardiac and 5 cancer patients and 4 diabetic patients are given free medical treatment?

Click here to see answer by ikleyn(52874) About Me 
Question 1198390: Among 200 patients at a Tikur Anbessa hospital. 40 of them are
cardiac patients, 100 of them are cancer, patients and 60 of
them are diabetic patients. The hospital wants to give free
medical service for some patients. ♦ A) What is the probability that 5 cardiac and 10 cancer patients
are given free medical treatment? ♦ B) What is the probability that 2 cardiac and 5 cancer patients and 4 diabetic patients are given free medical treatment?

Click here to see answer by greenestamps(13208) About Me 

Question 1198389: Among 200 patients at a Tikur Anbessa hospital. 40 of them are
cardiac patients, 100 of them are cancer, patients and 60 of
them are diabetic patients. The hospital wants to give free
medical service for some patients. ♦ A) What is the probability that 5 cardiac and 10 cancer patients
are given free medical treatment

Click here to see answer by ikleyn(52874) About Me 
Question 1198389: Among 200 patients at a Tikur Anbessa hospital. 40 of them are
cardiac patients, 100 of them are cancer, patients and 60 of
them are diabetic patients. The hospital wants to give free
medical service for some patients. ♦ A) What is the probability that 5 cardiac and 10 cancer patients
are given free medical treatment

Click here to see answer by ewatrrr(24785) About Me 

Question 1195775: find the indicated probabilities. about 30% of U.S. adults are trying to lose weight. you randomly select eight U.S. adults. find the probability that the number of U.S. adults who say they are trying to lose weight is (a) exactly three, (b) at least three, and (c) more than three
Click here to see answer by ikleyn(52874) About Me 
Question 1195775: find the indicated probabilities. about 30% of U.S. adults are trying to lose weight. you randomly select eight U.S. adults. find the probability that the number of U.S. adults who say they are trying to lose weight is (a) exactly three, (b) at least three, and (c) more than three
Click here to see answer by Boreal(15235) About Me 

Question 1195517: a die is thrown six times.what is the probability of getting exactly 4 six...
Two dice are rolled together. draw the sample space and find the probability that the sum of the scores of the dice is divided by 3
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Question 1194599: Let X be a random variable having a binomial distribution with parameters n=25 and p=0.2 evaluate P[𝑋<𝜇𝑥−2𝜎𝑥]
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Question 1195030: Four women’s college basketball teams are participating in a single-elimination holiday basketball tournament. If one team is favored in its semifinal match by odds of "1.70 to 1.30" and another squad is favored in its contest by odds of "2.60 to 1.40", what is the probability that:
a. Both favored teams win their games? (Round your answer to 2 decimal places.)


b. Neither favored team wins its game? (Round your answer to 4 decimal places.)


c. At least one of the favored teams wins its game? (Round your answer to 4 decimal places.)

Click here to see answer by greenestamps(13208) About Me 

Question 1194557: 1. According to one survey in India, 75% of Instagram users love REELS. Suppose that 25
Instagram users (randomly selected) have been approached in the university located in vile
parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they
love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they
love Insta-REELS)?
2. ‘Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the
cities they plan to visit. The number of hits daily is a normally distributed random variable
with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits?
b. What is the probability of getting fewer than 9,000 hits?

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Question 1193467: Research finds that of the students entering a degree program, 90% will successfully complete it. In 2018, 15 students commenced the course. Calculate the probability that:
I) all 15 students will successfully complete the course.
II) only one student fails.
III) no more than two students fail.
I) at least two students fail.

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Question 1193100: A survey shows that about 70 % of those over the age of 65 years old are in danger of catching COVID-19. If 7 persons over the age of 65 are randomly selected, answer the following questions:
A) What is the probability exactly 4 of the 7 have COVID-19?
b.) What is the probability at most 1 of the 7 has COVID-19?
c.) What is the probability at least 2 of the 7 have COVID-19?

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Question 1192953: a firm which conducts consumer surveys by mail has found that 30 percent of those families receiving a questionnaire will return it. in a survey of 10 families, what is the probability that (1) exactly five families will return the questionnaire.(ii) between 3 to 5 five families (inclusive) will return the questionnaire (iii) exactly 10 will return the questionnairo?
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Question 1191469: There are 5 coins in a bag: 3 weighted coins with Pr[H]=8/9 and 2 fair coins. One is chosen at random and flipped 180 times. What is the expected number of H flipped?
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Question 1191269: Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.58 probability of guessing any one game correctly.
What is the probability Mr. Keller will pick all 32 of the first round games correctly?
What is the probability Mr. Keller will pick exactly 4 games correctly in the first round?
What is the probability Mr. Keller will pick exactly 22 games incorrectly in the first round?

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Question 1191230: Paula is building a rectangular patio. It will
have a square flower bed in the middle. The
rest will have paving stones. The patio will
have a length of Ax and a width of 3.1x. The
area of the flower bed will be 3.52. What
area of the patio will need paving stones?

Click here to see answer by ikleyn(52874) About Me 
Question 1191230: Paula is building a rectangular patio. It will
have a square flower bed in the middle. The
rest will have paving stones. The patio will
have a length of Ax and a width of 3.1x. The
area of the flower bed will be 3.52. What
area of the patio will need paving stones?

Click here to see answer by Theo(13342) About Me 

Question 1191236: Paula is building a rectangular patio. It will
have a square flower bed in the middle. The
rest will have paving stones. The patio will
have a length of 4x and a width of 3.1x. The
area of the flower bed will be 3.52. What
area of the patio will need paving stones?

Click here to see answer by ikleyn(52874) About Me 
Question 1191236: Paula is building a rectangular patio. It will
have a square flower bed in the middle. The
rest will have paving stones. The patio will
have a length of 4x and a width of 3.1x. The
area of the flower bed will be 3.52. What
area of the patio will need paving stones?

Click here to see answer by MathLover1(20850) About Me 
Question 1191236: Paula is building a rectangular patio. It will
have a square flower bed in the middle. The
rest will have paving stones. The patio will
have a length of 4x and a width of 3.1x. The
area of the flower bed will be 3.52. What
area of the patio will need paving stones?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1189096: The mean birth weight for Ethiopian babies is μ =3.1 kg with sd (σ=0.5 kg)
A) What weight values encompass the 95% newborns?

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Question 1189004: Biostatistics Exercise
1.
2.
3.
5.
6.
8.
9.
10.

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Question 1186589: Determine the probabilities of having
(a) at least 1 girl
(a) at least 1 girl and 1 boy in a family of 4 children, assuming equal probability of male and female birth

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Question 1185040: A grocery store counts the number of customers who arrive during an hour. The average over a year is 27 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.)

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Question 1183498: A hunter bring down 75% of a rabbit he shoot at .what is the probability that at least 3 of the next five rabbit shot will escape
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Question 1182888: A retailer’s survey learned that 35% of all people aged 35 to 54 do more than half
of their shopping online. Find the probability that 20 or fewer out of 46 randomly
selected people aged 35 to 54 do more than half of their shopping online.

1. Determine the binomial parameters, n and p, giving values and descriptions.
2. Determine the question being asked, P(x “=, <, <, >, or >” a number), that is, write the
question symbolically as illustrated in lecture videos (and page 2 of this lab 3 packet).
3. Determine the calculator command needed to solve the problem.
(See separate sheet on using calculator to solve binomial problems.)
4. Use the calculator to find the solution to the binomial probability;
round answers to 4 decimal places.
5. Write your answer in a sentence in terms of the application

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