WorksheetsTheoritical distribution
Total questions: 20
Worksheet time: 20mins
50 per cent of a certain product have weight 60 kg or more whereas 10 per cent have weight
55 kg or less. On the assumption of normality, what is the variance of weight?
Given Φ (1.28) = 0.90.
15.21
9.00
16.00
22.68
Parameter is a characteristic of
population.
sample.
probability distribution.
both (a) and (b).
The salary of workers of a factory is known to follow normal distribution with an average
salary of Rs. 10,000 and standard deviation of salary as Rs. 2,000. If 50 workers receive salary
more than Rs. 14,000, then the total no. of workers in the factory is
2,193
2,000
2,200
2,500
If a binomial distribution is fitted to the following data:
x: 0 1 2 3 4
f: 16 25 32 17 10
then the sum of the expected frequencies for x = 2, 3 and 4 would be
58.
59.
60.
61.
If it is known that the probability of a missile hitting a target is 1/8, what is the probability
that out of 10 missiles fired, at least 2 will hit the target?
0.4258.
0.3968.
0.5238.
0.3611.
The number of accidents in a year attributed to taxi drivers in a locality follows Poisson
distribution with an average 2. Out of 500 taxi drivers of that area, what is the number of
drivers with at least 3 accidents in a year?
162
180
201
190
If X and Y are 2 independent normal variables with mean as 10 and 12 and SD as 3 and 4,
then (X+Y) is normally distributed with
mean = 22 and SD = 7.
mean = 22 and SD = 25.
mean = 22 and SD = 5.
mean = 22 and SD = 49.
If the mean deviation of a normal variable is 16, what is its quartile deviation?
10.00.
13.50.
15.00.
12.05.
What is the probability of making 3 correct guesses in 5 True – False answer type questions?
0.3125.
0.5676.
0.6875.
0.4325
If x is a binomial variable with parameters n and p, then x can assume
any value between 0 and n.
any value between 0 and n, both inclusive.
any whole number between 0 and n, both inclusive.
any number between 0 and infinity.
For a Poisson distribution,
mean and standard deviation are equal.
mean and variance are equal.
standard deviation and variance are equal.
both (a) and (b).
If X ~ P (m) and its coefficient of variation is 50, what is the probability that X would assume
only non-zero values?
0.018.
0.982.
0.989.
0.976.
The normal curve is
positively skewed.
negatively skewed.
symmetrical.
all these.
The maximum value of the variance of a binomial distribution with parameters n and p is
n/2.
n/4.
np (1 – p).
2n.
In a discrete random variable x follows uniform distribution and assumes only the values 8
, 9, 11, 15, 18, 20. Then P(x = 12) is
1/6
0
1/7
none
The expected value of a constant k is the constant
k
k–1
k+1
none
As the degree of freedom increases, the ________ distribution approaches the Standard
Normal distribution
t
Binomial
Poisson
Normal
When ‘p’ is larger than 0. 5, the binomial distribution is
asymmetrical
symmetrical
Both
None
In Normal distribution as the distance from the ___________ increases, the curve comes
closer and closer to the horizontal axis.
median
mean
mode
none
Which one is not a condition of Poisson model?
the probability of having success in a small time interval is constant
the probability of having success more than one in a small time interval is very small.
the probability of having success in a small interval is independent of time and also of
earlier success.
the probability of having success in a small time interval (t, t + dt) is kt for a positive
constant k.
