Advertisements
Advertisements
Question
Define Binomial distribution
Advertisements
Solution
Binomial distribution was discovered by James Bernoulli (1654-1705) in the year 1700.
A random variable X is said to follow binomial distribution with parameters n and p
If it assumes only non-negative value and its probability mass function is given by
`"P"("X" = x) = "p"(x) = {{:(""^"n""C"_x"p"^x"q"^("n" - x) x = 0",", 1"," 2"," ......"n"; "q" =1 -"p"),(0",", "otherwise"):}`
APPEARS IN
RELATED QUESTIONS
Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that 3 will have a laptop?
Determine the binomial distribution for which the mean is 4 and variance 3. Also find P(X=15)
An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be three successes
In a test on 2,000 electric bulbs, it was found that bulbs of a particular make, was normally distributed with an average life of 2,040 hours and standard deviation of 60 hours. Estimate the number of bulbs likely to burn for less than 1,950 hours
Choose the correct alternative:
Normal distribution was invented by
Choose the correct alternative:
Which of the following statements is/are true regarding the normal distribution curve?
Choose the correct alternative:
The starting annual salaries of newly qualified chartered accountants (CA’s) in South Africa follow a normal distribution with a mean of ₹ 180,000 and a standard deviation of ₹ 10,000. What is the probability that a randomly selected newly qualified CA will earn between ₹ 165,000 and ₹ 175,000?
Choose the correct alternative:
Using the standard normal table, the sum of the probabilities to the right of z = 2.18 and to the left of z = – 1.75 is
Choose the correct alternative:
The time until the first failure of a brand of inkjet printers is normally distributed with a mean of 1,500 hours and a standard deviation of 200 hours. What proportion of printers fails before 1000 hours?
Vehicles pass through a junction on a busy road at an average rate of 300 per hour. What is the expected number passing in two minutes?
