Class 12 CBSE Applied Maths Probability Exercise 9.4

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.

Class 12 CBSE Applied Maths Probability Exercise 9.4

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Q1. Find the mean of the Binomial distribution B(8,1/4)

Q2. In a binomial distribution, if n = 20 and q=0.6, then find its mean.

Q3. In a binomial distribution, if mean is 5 and variance is 4, then find the number of trials.

Q4. If the mean of a binomial distribution is 20 and its standard deviation is 4, then find the value of p

Q5. Find the expectation of number of heads in 20 tosses of a fair coin.

Q6. A die is tossed twice. A success is defined as getting an odd number on a random toss. Find the mean and variance of the number of successes.

Q7. If X follows binomial distribution with parameters n = 5, p and P(X = 2) = 9 P (X = 3), then find the value of p.

Q8. Three cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Find the mean and the variance of the number of red cards drawn.

Q9. A die is thrown 3 times. Let X be 'the number of two's seen', then find the probability distribution of X. Also find the expectation of X.

Q10. Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as 'a number greater than 4'. Also find the mean, variance and standard deviation of the distribution.

Q11. Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Find the probability distribution of the number of aces drawn. Also find the mean and standard deviation of the distribution.

Q12. A die is tossed three times. Getting an even number is considered a success. Find the binomial distribution. Also find the variance of the distribution.

Q13. An urn contains 3 white and 6 red balls. Four balls are drawn one by one with replacement from the urn. Find the probability distribution of the number of red balls drawn. Hence, find the mean and variance of the distribution.

Q14. If X follows a binomial distribution with mean 3 and variance 3/2, then find P(X ≤ 5)

Q15. If the sum of the mean and the variance of a binomial distribution for 54 trials is 30, then find the distribution.

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