HSC Commerce Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Among 28 professors of a certain department, 18 drive foreign cars and 10 drive local made cars. If 5 of these professors are selected at random, what is the probability that atleast 3 of them drive foreign cars?

Out of 750 families with 4 children each, how many families would be expected to have atleast one boy 

Out of 750 families with 4 children each, how many families would be expected to have atmost 2 girls

Out of 750 families with 4 children each, how many families would be expected to have children of both sexes? Assume equal probabilities for boys and girls.

Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that 3 will have a laptop?

Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that 12 of the travelers will not have a laptop?

Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that atleast three of the travelers have a laptop?

A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of 2 successes

The mean of a binomial distribution is 5 and standard deviation is 2. Determine the distribution

Determine the binomial distribution for which the mean is 4 and variance 3. Also find P(X=15)

Assume that a drug causes a serious side effect at a rate of three patients per one hundred. What is the probability that atleast one person will have side effects in a random sample of ten patients taking the drug?

Consider five mice from the same litter, all suffering from Vitamin A deficiency. They are fed a certain dose of carrots. The positive reaction means recovery from the disease. Assume that the probability of recovery is 0.73. What is the probability that atleast 3 of the 5 mice recover

An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be three successes

An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be at least three successes

Define Poisson distribution

Write any 2 examples for Poisson distribution

Write the conditions for which the poisson distribution is a limiting case of binomial distribution

Derive the mean and variance of poisson distribution

Mention the properties of poisson distribution

The mortality rate for a certain disease is 7 in 1000. What is the probability for just 2 deaths on account of this disease in a group of 400? [Given e^–2.8 = 0.06]