HSC Commerce इयत्ता १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Prove that  Δ∇ = Δ – ∇

Prove that EV = Δ = ∇E

Define Binomial distribution

Define Bernoulli trials

Derive the mean and variance of binomial distribution

Write down the condition for which the binomial distribution can be used.

Mention the properties of binomial distribution.

If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are exactly three defectives

If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are atleast two defectives

If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are exactly 4 defectives

If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are find the mean and variance

In a particular university 40% of the students are having newspaper reading habit. Nine university students are selected to find their views on reading habit. Find the probability that none of those selected have newspaper reading habit

In a particular university 40% of the students are having newspaper reading habit. Nine university students are selected to find their views on reading habit. Find the probability that all those selected have newspaper reading habit

In a particular university 40% of the students are having newspaper reading habit. Nine university students are selected to find their views on reading habit. Find the probability that atleast two-third have newspaper reading habit

In a family of 3 children, what is the probability that there will be exactly 2 girls?

Defects in yarn manufactured by a local mill can be approximated by a distribution with a mean of 1.2 defects for every 6 metres of length. If lengths of 6 metres are to be inspected, find the probability of less than 2 defects

If 18% of the bolts produced by a machine are defective, determine the probability that out of the 4 bolts chosen at random exactly one will be defective

If 18% of the bolts produced by a machine are defective, determine the probability that out of the 4 bolts chosen at random none will be defective

If 18% of the bolts produced by a machine are defective, determine the probability that out of the 4 bolts chosen at random atmost 2 will be defective

If the probability of success is 0.09, how many trials are needed to have a probability of atleast one success as 1/3 or more?