Normal Approximation to Binomial:
Remember that according to the Central Limit Theorem, the sample mean of distribution will become around normal when the sample size is sufficiently big.
The binomial distribution can be approximated by using the normal distribution if both np and nq are at least 5. Moreover, remember that the mean of binomial distribution is np and the variance of binomial distribution is npq.
Continuity Correction Factor:
Approximating the binomial with normal is a big problem. That problem occurs as the binomial distribution is a discrete distribution whereas the normal distribution is a continuous distribution. The fundamental difference here is that with discrete values, we are talking regarding heights although no widths, and with continuous distribution we are talking regarding both widths and heights.
The correction is to either subtract or add 0.5 of a unit from each discrete x-value. This fills in gaps to make it continuous. This is much similar to expanding limits to form boundaries which are done with group frequency distributions.
Illustrations:
Discrete Continuousx = 6 5.5 < x < 6.5x > 6 x > 6.5x >= 6 x > 5.5x < 6 x < 5.5x <= 6 x < 6.5
As we can see, whether or not equal to be included makes a large difference in the discrete distribution and the manner the conversion is executed. Though, for a continuous distribution, equality makes no difference.For binomial distribution, the steps for working a normal approximation are as follows:
A) Recognize success, probability of success, number of trials, and the desired number of successes. As this is a binomial problem, these are similar things that were recognized whenever working a binomial problem.
B) Transform the discrete x to a continuous x. Some of the people would argue that step 3 must be executed before this step, however go ahead and transform the x before you forget about it and fail to notice the problem.
C) Determine the smaller of np or nq. When the smaller one is at least five, then the bigger should also be, therefore the approximation will be considered good. Whenever you find np, you are really finding the mean, mu, so symbolize it as such.
D) Determine the standard deviation, sigma = sqrt (npq). It may be simpler to find the variance and just stick to the square root in the final calculation - that way you do not have to work with all decimal places.
E) Calculate the z-score by using the standard formula for an individual score (that is, not the one for sample mean).
F) Compute the probability desired.
Latest technology based Statistics Online Tutoring Assistance
Tutors, at the www.tutorsglobe.com, take pledge to provide full satisfaction and assurance in Statistics help via online tutoring. Students are getting 100% satisfaction by online tutors across the globe. Here you can get homework help for Statistics, project ideas and tutorials. We provide email based Statistics help. You can join us to ask queries 24x7 with live, experienced and qualified online tutors specialized in Statistics. Through Online Tutoring, you would be able to complete your homework or assignments at your home. Tutors at the TutorsGlobe are committed to provide the best quality online tutoring assistance for Statistics Homework help and assignment help services. They use their experience, as they have solved thousands of the Statistics assignments, which may help you to solve your complex issues of Statistics. TutorsGlobe assure for the best quality compliance to your homework. Compromise with quality is not in our dictionary. If we feel that we are not able to provide the homework help as per the deadline or given instruction by the student, we refund the money of the student without any delay.
www.tutorsglobe.com offers Area and Volume of Solid Figures homework help, assignment help, online tutoring assistance, geometry mathematics solutions by online qualified tutor's help.
Phylum Mollusca-Helix tutorial all along with the key concepts of The shell, The body, Locomotion, Digestive system and Feeding, Main Digestive Gland, Gaseous exchange, Circulatory system, Excretion and Osmoregulation
tutorsglobe.com international finance assignment help-homework help by online source of finance tutors
For Soldering, electric irons are usually employed on small armatures and gas irons on the larger ones.
www.tutorsglobe.com offers benzene & derivatives electrophilic substitution homework help, electrophilic substitution assignment help, online tutoring assistance, organic chemistry solutions by online qualified tutor's help.
choose our top rated game theory assignment help service at pocket-friendly rates and get assured a++ solutions and 24x7 support.
www.tutorsglobe.com offers data objects attributes and relationships homework help, assignment help, case study, writing homework help, online tutoring assistance by computer science tutors.
Modern Physics tutorial all along with the key concepts of Photon and the Atom, Bohr Atom, X-rays, X-ray Spectra, X-ray Tube, Nature and Properties of X-rays and Uses of X-rays
Registers tutorial all along with the key concepts of Buffer Register, Controlled Buffer Register, Shift Registers, Shift Left Register, Shift Right Register, Controlled Shift Register
Faradays laws of electrolysis tutorial all along with the key concepts of Faraday's First Law of Electrolysis, Faraday's Second Law of Electrolysis, Electrolysis of water, Electro-Refining Operations, Applications of Electrolysis
Significant Terms used in Activity Based Costing - Cost Objects, Activities, Support activities, Cost Pool, Cost Drivers, Transaction Drivers, Duration Drivers, Intensity Drivers.
tutorial all along with the key concepts of Basic Concepts of Magnetic Methods, Theory, Instrumentation, Data Acquisition, Data Processing, Data Interpretation
The different roles that non-executives are expected to play provide potential for conflict. In developing strategy, co-operation between the executive and non-executive directors is essential.
tutorsglobe.com aspects of says law assignment help-homework help by online says law of market tutors
www.tutorsglobe.com offers hydrogen bonding homework help, hydrogen bonding assignment help, online tutoring assistance, organic chemistry solutions by online qualified tutor's help.
1950295
Questions Asked
3689
Tutors
1479728
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!