In a Poisson Distribution, if ‘n’ is the number of trials and ‘p’ is the probability of success, then the mean value is given by

If ‘m’ is the mean of A Poisson Distribution, then variance is given by

If ‘m’ is the mean of a Poisson distribution, the standard deviation is given by

In a Poisson distribution the mean and variance are equal

Poisson distribution is applied for

If the random variable X follows a Poisson distribution with mean 3,4, find P(x=6)

In a binomial Distribution, ‘if ‘n’ is the number of trials and ‘p’ is the probability of
success, then the mean value is given by

In the Binomial Distribution, If p, q and n are probability of success, failure and number
of trials respectively then variance is given by

If ‘x’ is a random variable, taking values ‘x’ probability of success and failure being ‘p’
and ‘q’ respectively and ‘n’ trials being conducted, then what is the probability that ‘x’
takes values ‘x’? Use Binomial Distribution

If ‘p’, ‘q’ and ‘n’ are probability of success, failure and number of trials respectively in a
Binomial Distribution, what is its standard Deviation?

15 dates are selected at random, what is the probability of getting two Sundays?

The incidence of occupational disease in an industry is such that the workmen have a
10% chance of suffering from it. What is the probability that out of 5 workmen, 3 or
more will contract the disease?

Find the probability of a success for the binomial distribution satisfying the following
relation 4 P (x = 4) = P (x = 2) and having the parameter n as six.

Normal distribution is applied for

The shape of the Normal curve is

The area under a standard normal curve is

The standard normal curve is symmetric about the value.

For a standard normal variate. The value of standard deviation is

Normal Distribution is also known as

Skewers of Normal distribution is

The shape of the normal curve depends on its

The value of constant ‘e’ appearing in normal distribution is

In standard normal distribution, the value of median is

In a certain book, the frequency distribution of the number of words per page may be
taken as approximately normal with mean 800 and standard deviation 50. If three pages
are chosen at random, what is the probability that none of them has between 830 and
845 words each?

The distribution of 1,000 examines according to marks percentage is given below:

Assuming the marks percentage to follow a normal distribution, calculate the mean and
standard deviation of marks. If not more than 300 examines are to fail, what should be
the passing marks?

At a petrol station, the mean quantity of petrol sold to a vehicle is 20 litres per day with
a standard deviation of 10 liters. If on a particular day, 100 vehicles took 25 or more
litres of petrol, estimate the total number of vehicles who took petrol from the station
on the day. Assume that the quantity of petrol taken from the station by a vehicle is a
normal variate.

Using the table areas under the standard normal curve, find the following probabilities:
(i) P (0 ≤ 𝒛 ≤ 𝟏. 𝟑)
(ii) P (-1 ≤ 𝒛 ≤ 𝟎)
(iii) P (-1 ≤ 𝒛 ≤ 𝟏𝟐)

Determine the value or values of z in the following situations:
(i) Area between 0 and z is 0.4495.
(ii) Area between - ∞ to z is 0.1401.

The variance of a binomial distribution with the parameters n and p is:

X is a passion variate satisfying the following condition 9 P(X = 4) + 90 (X = 6) = P
(X = 2). What is the value of P (X ≤ 𝟏)?