MEDIUM

12th Tamil Nadu Board

IMPORTANT

Earn 100

Consider a game where the player tosses a six-sided fair die. If the face that comes up is $6$ , the player wins $R s . 36$ , otherwise he loses $R s . k^{2}$ , where $k$ is the face that comes up $k = {1, 2, 3, 4, 5}$ . The expected amount to win at this game in $R s .$ is

50% studentsanswered this correctly

Important Questions on Probability Distributions

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 11 - Probability Distributions>Exercise 6>Q 4

A pair of dice numbered

1, 2, 3, 4, 5, 6

of a six-sided die and

1, 2, 3, 4

of a four-sided die is rolled and the sum is determined. Let the random variable

X

denote this sum. Then the number of elements in the inverse image of

7

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 11 - Probability Distributions>Exercise 6>Q 5

A random variable

X

has binomial distribution with

n = 25

and

p = 0.8

then standard deviation of

X

MEDIUM

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 11 - Probability Distributions>Exercise 6>Q 6

Let

X

represent the difference between the number of heads and the number of tails obtained when a coin is tossed

n

times. Then the possible values of

X

are

EASY

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 11 - Probability Distributions>Exercise 6>Q 7

If the function

f (x) = \frac{1}{12} for a < x < b

represents a probability density function of a continuous random variable

X

, then which of the following cannot be the value of

a

and

b

MEDIUM

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 11 - Probability Distributions>Exercise 6>Q 8

Four buses carrying

160

students from the same school arrive at a football stadium. The buses carry, respectively,

42, 36, 34

and

48

students. One of the students is randomly selected. Let

X

denote the number of students that were on the bus carrying the randomly selected student. One of the

4

bus drivers is also randomly selected. Let

Y

denote the number of students on that bus. Then

E [X]

and

E [Y]

respectively are

MEDIUM

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 11 - Probability Distributions>Exercise 6>Q 9

Two coins are to be flipped. The first coin will land on heads with probability

0.6

, the second with Probability

0.5

. Assume that the results of the flips are independent, and let

X

equal the total number of heads that result. The value of

E [X]

HARD

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 11 - Probability Distributions>Exercise 6>Q 10

On a multiple-choice exam with

3

possible destructive for each of the

5

questions, the probability that a student will get

4

or more correct answers just by guessing is

MEDIUM

12th Tamil Nadu Board

IMPORTANT

Mathematics Standard 12 Vol II>Chapter 11 - Probability Distributions>Exercise 6>Q 11

P \{X = 0\} = 1 - P \{X = 1\}

. If

E [X] = 3 Var (X)

, then

P \{X = 0\} =

Consider a game where the player tosses a six-sided fair die. If the face that comes up is 6, the player wins Rs.36, otherwise he loses Rs.k2 , where k is the face that comes up k={ 1,2,3,4,5 }. The expected amount to win at this game in Rs. is

Important Questions on Probability Distributions

Learn and Prepare for any exam you want !

Consider a game where the player tosses a six-sided fair die. If the face that comes up is $6$ , the player wins $R s . 36$ , otherwise he loses $R s . k^{2}$ , where $k$ is the face that comes up $k = {1, 2, 3, 4, 5}$ . The expected amount to win at this game in $R s .$ is