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What probability value would be needed to complete the following probability distribution?
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What is the probability of having 4 consecutive successes in 10 trials?
More information is needed to determine the answer to the question. We need to know the probability of success or failure.
Real world examples of binomial distribution?
This is interactive mathematicswhere you learn math by playing with it!homesitemapLiveMath infoFlash highlightsScientific Notebookmath blogaboutfeedback12. The Binomial Probability DistributionA binomial experiment is one that possesses the following properties:On this page...Mean and variance of a binomial distributionThe experiment consists of n repeated trials;Each trial results in an outcome that may be classified as a success or a failure (hence the name, binomial);The probability of a success, denoted by p, remains constant from trial to trial and repeated trials are independent.The number of successes X in n trials of a binomial experiment is called a binomial random variable.The probability distribution of the random variable X is called a binomial distribution, and is given by the formula:P(X) = Cnxpxqn−xwheren = the number of trialsx = 0, 1, 2, ... np = the probability of success in a single trialq = the probability of failure in a single trial(i.e. q = 1 − p)Cnx is a combinationP(X) gives the probability of successes in n binomial trials.Mean and Variance of Binomial DistributionIf p is the probability of success and q is the probability of failure in a binomial trial, then the expected number of successes in n trials (i.e. the mean value of the binomial distribution) isE(X) = μ = npThe variance of the binomial distribution isV(X) = σ2 = npqNote: In a binomial distribution, only 2 parameters, namely n and p, are needed to determine the probability.EXAMPLE 1Image sourceA die is tossed 3 times. What is the probability of(a) No fives turning up?(b) 1 five?(c) 3 fives?AnswerLoading...EXAMPLE 2Hospital records show that of patients suffering from a certain disease, 75% die of it. What is the probability that of 6 randomly selected patients, 4 will recover?AnswerLoading...EXAMPLE 3Image sourceIn the old days, there was a probability of 0.8 of success in any attempt to make a telephone call.Calculate the probability of having 7 successes in 10 attempts.AnswerLoading...EXAMPLE 4A (blindfolded) marksman finds that on the average he hits the target 4 times out of 5. If he fires 4 shots, what is the probability of(a) more than 2 hits?(b) at least 3 misses?AnswerLoading...EXAMPLE 5Image sourceThe ratio of boys to girls at birth in Singapore is quite high at 1.09:1.What proportion of Singapore families with exactly 6 children will have at least 3 boys? (Ignore the probability of multiple births.)[Interesting and disturbing trivia: In most countries the ratio of boys to girls is about 1.04:1, but in China it is 1.15:1.]AnswerLoading...EXAMPLE 6A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain(a) no more than 2 rejects? (b) at least 2 rejects?AnswerLoading...11. Probability Distributions - Concepts13. Poisson Probability DistributionDidn't find what you are looking for on this page? Try search:The IntMath NewsletterSign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!Given name: * requiredFamily name:email: * requiredSee the Interactive Mathematics spam guarantee.Probability Lessons on DVDEasy to understand probability lessons on DVD. See samples before you commit.More info: Probability videosBookmark this pageAdd this page to diigo, Redditt, etc.Need a break? Play a math game. Well, they all involve math... No, really!Help keep Interactive Mathematics free!Home | Sitemap | About & Contact | Feedback & questions | Privacy | IntMath feed |Hello, PakistanPage last modified: 22 March 2007Valid HTML 4.01 | Valid CSSChapter ContentsCounting and Probability - Introduction1. Factorial Notation2. Basic Principles of Counting3. Permutations4. Combinations5. Introduction to Probability Theory6. Probability of an EventSingapore TOTOProbability and Poker7. Conditional Probability8. Independent and Dependent Events9. Mutually Exclusive Events10. Bayes' Theorem11. Probability Distributions - Concepts12. Binomial Probability Distributions13. Poisson Probability Distribution14. Normal Probability DistributionThe z-TableFollowing are the original SNB files (.tex or .rap) used in making this chapter. For more information, go to SNB info. SNB files1. Factorial Notation (SNB)2. Basic Principles of Counting (SNB)3. Permutations (SNB)4. Combinations (SNB)5. Introduction to Probability Theory (SNB)6. Probability of an Event (SNB)Singapore TOTO (SNB)Probability and Poker (SNB)7. Conditional Probability (SNB)8. Independent and Dependent Events (SNB)9. Mutually Exclusive Events (SNB)10. Bayes' Theorem (SNB)11. Probability Distributions - Concepts (SNB)12. Binomial Probability Distributions (SNB)13. Poisson Probability Distribution (SNB)14. Normal Probability Distribution (SNB)Comments, Questions?Math ApplicationsI get a good understanding of how math is applied to real world problems:In most lessonsIn some lessonsRarelyNeverVotes so far: 1570Follow IntMath on TwitterGet the Daily Math Tweet!IntMath on TwitterRecommendationEasy to understand probability lessons on DVD. Try before you commit. More info:MathTutorDVD.comFrom the math blog...Free math software downloadsWanting to use some math software but find it's too expensive? Here are some free math software downloads to consider....more »CrazyEgg Web AnalyticsCrazyEgg gives us a wealth of information about visitors to a Website - where they came from, how long they stay and where they go next....more »Algebrator reviewAlgebrator is an interesting product - but I'm not sure that I can recommend it....more »
What number is needed to complete the square x squared plus 24x equals 0?
144
What is a complementary angle mean?
The number of degrees in the angle needed to complete a right angle 45 is its own complementary angle. == ==
If you needed to pour liquid from a 1 liter container to a 10 mL container which of the following would be most helpful?
funnel
How many random variables are needed to plot a probability distribution?
A probability density function can be plotted for a single random variable.
What is needed to develop a bionomial probability distribution?
A number of independent trials such that there are only two outcomes and the probability of "success" remains constant.
What re the three criteria needed for something to be a probability distribution?
A probability distribution must have a well defined domain - that is, the set of possible outcomes.For each possible outcome, there must be a non-negative value associated - the probability of that outcome.The sum of the probabilities, over all possible outcomes, must be 1.
What does resource allocation mean?
'Resource Allocation' is a management terminology phrase for the scheduling of activities and resources needed to complete them whilst taking into consideration both the time needed to complete and effort it will take.
What sample size is needed to disprove the hypothesis that the probability of outcome A equals 0.25?
The answer depends on what population characteristic A measures: whether it is mean, variance, standard deviation, proportion etc. It also depends on the sampling distribution of A.
When is a historgam used?
I think that you mean histogram, so I am going to go off of that meaning. A histogram is a statistical image that shows a visual impression of the distribution of data. It's purpose is to assess the probability distribution of a given variable, by depicting frequencies in a certain range of values. Histograms are used when density estimation is needed, or when one needs to estimate the probability density function of an underlying variable. More often than not, it is used in mathematics and statistics in order to determine the distribution of a specific variable at varying frequencies.
Why is a correction factor of x or - 0.5 needed?
The answer depends on the context. In probability or statistics, when using a continuous distribution as an approximation for a discrete distribution it is advisable to use 0.5 as a "continuity correction". This is to allow for the fact that the discrete variable usually cannot take values between integers. In other situations a correction may be applied to allow for measurement error.
How many hydrogen atoms would be needed to complete the following structure CC-O-C?
Eight hydrogen atoms are necessary (ethyl methyl ether).
Why were statistics developed?
To be able to understand the probability of chance for an occurrence and to further understand probability
What is the probability of having 4 consecutive successes in 10 trials?
More information is needed to determine the answer to the question. We need to know the probability of success or failure.
Which of the following would be a good name for the function that takes how hungry Christine is and returns the amount of food she eats for lunch?
Which of the following would be a good name for the function that takes the length of a reading assignment and returns the time needed to complete it ?
What best summarizes resources distribution on Earth?
Resources can be unavailable in areas where they are needed.
