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

A man was able to complete 3 files a day on an average. Find the probability that he can complete 5 files the next day.

The number of calls coming per minute into a hotels reservation center is Poisson random variable with mean 3. Find the probability that no calls come in a given 1- minute period.

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

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.

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.

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)?

4 coins were tossed 1600 times. What is the probability that all 4 coins do not turn
head upward at a time?

In a binomial distribution B(n, p) n = 4 P(x = 2) = 3 × P (x = 3) find P

Construct the following indices by taking 1997 as the base:

(i)  Simple Aggregative price Index

A composite price index where the prices of the item composite are weighted by their relative importance is known as the

A weighted aggregate price index where the weight for each item is its current period quantity is called the

An index that is designed to measure changes in quantities over time is known as the:

Index number is expressed in:

The test which is lot obeyed by any of the weighted index numbers unless the weights are constant:

Index number having upward basis is:

Marshall Edgeworth price index was proposed by:

Passche index, index developed by German economist Herman Passche for measuring current price of quantity level to those of selected base period. it differs from the Laspeyres index in that it uses current period weight

From the following data construct price index of 1995 taking 1990 as base by using Average price Relative Method:

Calculate weighted aggregate price index member from the following data by using paasches method

Calculate Laspeyres and Passche index for the following data:

The monthly capital expenditure incurred by worker of an industrial center during 1980 and 2005 on the following item are given below: The weights of these item are 75,10,5,6 and 4 respectively Prepare a weighted index number cost of living for 2005 with 1980 as base.

Calculate the cost of living index number using family budget method

If the salary of person in the base year is Rs. 4,000 per annum and the current year salary is Rs. 6,000 by how much should hid salary rise to maintain the same standard of living if The CPI of the current year is 400?

Given the following data:

Calculate the inflation of year 1998 – 99

An index number that can serve purpose is called

Laspeyres index = 110, Paasche index = 108 then fisher ideal index equal to:

Consumer price indexes are obtained by:

Marshall Edge worth price index was proposed by:

The table below show the height, x, in inches and the pulse rate y, per minute for 9
people find the correlation coefficient and interpret your result.
 

In the previous problem the researcher decides to use data only for adults age 21 to 60
to compute a correlation coefficient what value of r should he expect?

The following data relate to the test scores obtained eight salesmen in an aptitude test
and their daily sales in thousands of rupees:
 

If the sum of square of the rank difference in mathematics and physics marks of 10
students is 22, then the coefficient of rank correlation is:

The coefficient of correlation r between x and y when: Cov (x, y) = - 16.5, Var (x) = 2.89,
Var (y) = 100 is:

For the following data the coefficient of rank correlation is:
 

The following data is given on 450 students for marks is statistics and Economic at a
certain examination
Mean marks in statistics = 40
Mean marks in economics = 48
S.D. of marks (statistics) = 12
Variance of marks (Economics) = 256
Sum of the products of deviation of
Marks from their respective mean = 42075
The average marks in economics of candidates who obtained 50 marks in statistics is:

For 10 pair of observation, number of concurrent deviation was found to be 4. what is
the value of the coefficient deviation?

In beauty contest there were 10 competitors of these candidates assigned by two judge A and b the sum of squares of difference of rank is 44. The value of rank correlation is:

The coefficient of correlation between the temperature of environment and power consumption is always:

Their competitors in a contest are ranked by two judges in the order 1,2,3 and 2,3,1 respective Calculate the spearman`s rank correlation coefficient.

Let the coefficient of determination computed to be 0.39 in a problem involving one independent variable and one dependent variable this result means that 

The table below shows the number of absence x, in a calculsis course and the final exam grade y for 7 student find the correlation coefficient

The time x in years that an employee spent at a company and the employee`s hourly pay, y for 5 employees are listed in the table below. Calculate and interpret the correlation coefficient r. Include a plot of the data in your discussion

Coefficient of correlation between X and Y is 0.6 if both X and Y are multiplied then resultant coefficient of correlation: