HSC Science Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Choose the correct alternative:

The number of arbitrary constants in the general solutions of order n and n +1are respectively

Choose the correct alternative:

The number of arbitrary constants in the particular solution of a differential equation of third order is

Compute P(X = k) for the binomial distribution, B(n, p) where

n = 6, p = `1/3`, k = 3

Compute P(X = k) for the binomial distribution, B(n, p) where

n = 10, p = `1/5`, k = 4

Compute P(X = k) for the binomial distribution, B(n, p) where

n = 9, p = `1/2`, k = 7

The probability that Mr.Q hits a target at any trial is `1/4`. Suppose he tries at the target 10 times. Find the probability that he hits the target exactly 4 times

The probability that Mr.Q hits a target at any trial is `1/4`. Suppose he tries at the target 10 times. Find the probability that he hits the target at least one time

Using binomial distribution find the mean and variance of X for the following experiments.

A fair coin is tossed 100 times, and X denote the number of heads

Using binomial distribution find the mean and variance of X for the following experiments.

A fair die is tossed 240 times and X denotes the number of times that four appeared

The probability that a certain kind of component will survive a electrical test is `3/4`. Find the probability that exactly 3 of the 5 components tested survive

A retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 5%. The inspector of the retailer randomly picks 10 items from a shipment. What is the probability that there will be at least one defective item

A retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 5%. The inspector of the retailer randomly picks 10 items from a shipment. What is the probability that there will be exactly two defective items?

If the probability that a fluorescent light has a useful life of at least 600 hours is 0.9, find the probabilities that among 12 such lights exactly 10 will have a useful life of at least 600 hours

If the probability that a fluorescent light has a useful life of at least 600 hours is 0.9, find the probabilities that among 12 such lights at least 11 will have a useful life of at least 600 hours

If the probability that a fluorescent light has a useful life of at least 600 hours is 0.9, find the probabilities that among 12 such lights at least 2 will not have a useful life of at least 600 hours

The mean and standard deviation of a binomial variate X are respectively 6 and 2. Find the probability mass function

The mean and standard deviation of a binomial variate X are respectively 6 and 2. Find P(X = 3)

The mean and standard deviation of a binomial variate X are respectively 6 and 2. Find P(X ≥ 2)

If X ~ B(n, p) such that 4P(X = 4) = P(x = 2) and n = 6. Find the distribution, mean and standard deviation of X

In a binomial distribution consisting of 5 independent trials, the probability of 1 and 2 successes are 0.4096 and 0.2048 respectively. Find the mean and variance of the random variable