Binomial Distribution Assignment Help & Homework Help Online
Are you struggling with Binomial-Distribution-Problems? Do you need Binomial-Distribution-Assignment help ? OR Binomial-Distribution-Homework Help?
Our team of Statistics experts equipped with PhDs and Masters can help on a wide range of Statistics assignment topics such as binomial distribution
In Statistics and Probability theory, the binomial distribution gives the discrete probability distribution, PP(n|N) for obtaining exactly n successes out of N trails (where the result of each Bernoulli trail is true with probability p and false with probability q= 1-p). In simple terms the binomial distribution describes the no. of times that a particular event will occur in sequence of observations. The event might be in binary form, i.e. it may or may not occur. It is used when the researcher wants to find out the occurrence of an even but not in the intensity or magnitude of the event. Say for ex: if the researcher wants to calculate the probability of raining. He will concentrate on rain but not on the damages that occur due to the rain.
The binomial distribution is therefore given by
Example: Toss a coin for 10 times. What is the probability of getting exactly 8 heads.
Step 1: Here,
Number of trials n = 110
Number of success r = 8 (since we define getting a head as success)
Probability of success on any single trial p = 0.5
Step 2: To Calculate nCr formula is used.
nCr = ( n! / (n-r)! ) / r!
= ( 10! / (10-8)! ) / 8!
= ( 10! / 2! ) / 8!
= ( 3628800 / 2 ) /
= ( 1814400 / 40320 )
= 45
Step 3: Find pr.
pr = 0.58
= 0.00390625
Step 4: To Find (1-p)n-r Calculate 1-p and n-r.
1-p = 1-0.5 = 0.5
n-r = 10-8 = 2
Step 5: Find (1-p)n-r.
= 0.52 = 0.25
Step 6: Solve P(X = r) = nCr p r (1-p)n-r
= 45 × 0.00390625 × 0.25
= 0.0439453125
The probability of getting exactly 8 heads is 0.044.
Want to know how to proceed with Binomial Distribution Assignment Help?
Fill up the assignment help request form on the right or drop us a mail at support@helpwithassignment.com. Feel free to contact our customer support on the company 24/7 Live Chat or call us on 312-224- 1615.
HelpWithAssignment provides timely help at affordable charges with detailed answers to your assignments, homework, research paper writing, research critique, case studies or term papers so that you get to understand your assignments better apart from having the answers. The team has helped a number of students pursuing education through regular and online universities, institutes or online Programs.
