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
Write down the condition for which the binomial distribution can be used.
Mention the properties of binomial distribution.
Among 28 professors of a certain department, 18 drive foreign cars and 10 drive local made cars. If 5 of these professors are selected at random, what is the probability that atleast 3 of them drive foreign cars?
An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be three successes
A car hiring firm has two cars. The demand for cars on each day is distributed as a Posison variate, with mean 1.5. Calculate the proportion of days on which some demand is refused
The average number of customers, who appear in a counter of a certain bank per minute is two. Find the probability that during a given minute no customer appears
The average number of customers, who appear in a counter of a certain bank per minute is two. Find the probability that during a given minute three or more customers appear
Time taken by a construction company to construct a flyover is a normal variate with mean 400 labour days and a standard deviation of 100 labour days. If the company promises to construct the flyover in 450 days or less and agree to pay a penalty of ₹ 10,000 for each labour day spent in excess of 450. What is the probability that the company pay a penalty of at least ₹ 2,00,000?
Choose the correct alternative:
If Z is a standard normal variate, the proportion of items lying between Z = – 0.5 and Z = – 3.0 is
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?
