Advertisements
Advertisements
प्रश्न
Define Standard normal variate
Advertisements
उत्तर
A random variable Z = `("X" – mu)/sigma` follows the standard normal distribution.
Z is called the standard normal variate with mean 0 and standard deviation 1 i.e Z – N (0, 1).
Its Probability density function is given by:
φ(z) = `1/sqrt(2pi) "e"^((-x^2)/2) -oo < "z" < oo`
APPEARS IN
संबंधित प्रश्न
Derive the mean and variance of binomial distribution
Out of 750 families with 4 children each, how many families would be expected to have atleast one boy
Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that atleast three of the travelers have a laptop?
Write the conditions for which the poisson distribution is a limiting case of binomial distribution
Mention the properties of poisson distribution
If the heights of 500 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many students have height less than or equal to 64 inches
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
A 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 at least 2 rejects?
Vehicles pass through a junction on a busy road at an average rate of 300 per hour. Find the probability that none passes in a given minute
