Applied Mathematics

Probability Distribution

Easy

Match List - I with list- II

List-I List - II
A. the probability distribution is applied for discrete random variable normal distribution
B. A normal distribution is symmetric about standard deviation
C. this probability distribution is applied for continuous random variable mean
D. the shape of normal curve depend upon Poisson distribution

Choose the correct option below :

List-I	List - II
A. the probability distribution is applied for discrete random variable	normal distribution
B. A normal distribution is symmetric about	standard deviation
C. this probability distribution is applied for continuous random variable	mean
D. the shape of normal curve depend upon	Poisson distribution

A- II , B - I , C - III , D - IV

A- I , B - IV , C - II , D - III

A- IV , B - III , C - I , D - II

A- III , B - II , C - IV , D - I

✅ Correct Option: 3

A: Discrete distribution example is Poisson distribution (row IV).

B: Normal distribution is symmetric about mean (row III).

C: Continuous distribution example is normal distribution (row I).

D: Shape of normal curve depends on standard deviation (row II).

Match: A-IV, B-III, C-I, D-II.

2023: 7 June Shift 1

If the mean of a binomial distribution is 24 and its standard deviation is 4 , then the probability of getting success is :

2026: 30 May Shift 1

The number of telephone calls made daily in a certain community between 8 P.M. and 9 P.M. has a mean of 352 and standard deviation of 31. What percentage of time will there be more than 400 telephone calls made in this community between 8 P.M. to 9 P.M.?

[Given that: $P(0\leq Z\leq1.55)=0.4394$ , where $Z$ is the standard normal variate]

2023: 22 May Shift 3

If the probability distribution of X is :

X	2	3	4	5	6
P(X)	1/15	2/15	3/15	4/15	5/15

Then variance is equal to :

2023: 11 Aug Shift 1

The variance of the number of heads in two tosses of a coin is :

2026: 29 May Shift 2

The probability distribution of a discrete random variable is given below :

X	1	2	3	4	5
P(X)	1/5	m	2/5	2m	3m

Which of the following are correct?

A. $P(2)=\frac{1}{15}$

B. $P(4)=\frac{2}{15}$

C. $P(X<2)=\frac{1}{5}$

D. $P(X\geq4)=\frac{1}{5}$

Choose the correct answer from the options given below:

2026: 25 May Shift 1

If $X$ is a random variable such that $X$ can take values 0,1, 2 or 3. Then the expectation of $X$ for the following data is :

$X$	0	1	2	3
$P(X)$	$k$	$k^2$	$1-5k^2$	$k^2$

(where $k>0$ )

Solution

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