Home
Class 12
MATHS
Consider the following assignments of pr...

Consider the following assignments of probabilities for outcomes of sample space S = {1, 2, 3, 4, 5, 6, 7, 8}.
`{:("Number (X)",1,2,3,4,5,6,7,8),("Probability, P(X)",0.15,0.23,0.12,0.10,0.20,0.08,0.07,0.05):}`
Find the probability that
X is a prime number
(b) X is a number greater than 4.

Text Solution

Verified by Experts

The correct Answer is:
(a) 0.62 (b) 0.4
P(X is a prime number) = P(2) + P(3) + P(5) + P(7) = 0.23 + 0.12 + 0.20 + 0.07 = 0.62
P(X is a number greater than 4) = P(5) + P(6) + P(7) + P(8) = 0.20 + 0.08 + 0.07 + 0.05 = 0.04
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE|Exercise Exercise 9.2|19 Videos

  • PROBABILITY I

    CENGAGE|Exercise Exercise 9.3|7 Videos

  • PROBABILITY I

    CENGAGE|Exercise JEE Advanced Previous Year|7 Videos

  • PROBABILITY AND STATISTICS

    CENGAGE|Exercise Question Bank|37 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

Similar Questions

Explore conceptually related problems

If x, in {0, 1, 2, 3,....10} then the probability that |x -y| > 5 is

A random variable X has the following probability distribution : {:(X:,1,2,3,4,5,6,7,8),(P(X):,0.15,0.23,0.12,0.10,0.20,0.08,0.07,0.08):} for the events E= [X is a prime number] F={Xlt 4} , the probability P(EOP) , is.

Which of the following cannot be the probability of occurrence of an event? 0.2 (b) 0.4(c)0.8(d)1.6

The probability that number selected at random from that number 1, 2, 3, 4, 5, 6, 7, 8, …., 100 is prime is

Which of the following cannot be valid assignment of probability for elementary events or outcomes of samples space S={w_1, w_2, w_3, w_4, w_5, w_6, w_7}: Elementary events w_1 w_2 w_3 w_4 w_5 w_6 w_7 i. 0.1 0.01 0.05 0.03 0.01 0.2 0.6 ii. 1/7 1/7 1/7 1/7 1/7 1/7 1/7 iii. 0.7 0.6 0.5 0.4 0.3 0.2 0.1 iv. 1/(14) 2/(14) 3/(14) 4/(14) 5/(14) 6/(14) (15)/(14)

Which of the following cannot be valid assignmentof probabilities for outcomes of sample space S={omega_(1),omega_(2),omega_(3),omega_(4),omega_(5),omega_(6),omega_(7)} ? Assignement omega_(1),omega_(2),omega_(3),omega_(4),omega_(5),omega_(6),omega^(7) a. 0.1,0.01,0.05,0.03,0.01,0.3,0.6 b. 1/7,1/7,1/7,1/7,1/7,1/7,1/7 c. 0.1,0.2,0.3,0.4,0.5,0.6,0.7 d. -0.1,0.2,0.3,0.4,-0.2,0.1,0.3 e. 1/14,2/14,3/14,4/14,5/14,6/14,15/14

If x={0,1,2,3,4,5,6,7,8,9,10} and Y={ 1,3,5,7,9} then X-Y=___.

Which of the following cannot be the probability of an event : (A) 2/3 (B) –1.5 (C) 15% (D) 0.7