binomial distribution

P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches. If they play 3 more matches,...

P and Q play chess frequently against each other. Of these matches, P has won $80 \%$ of the matches, drawn $15 \%$ of the matches and lost $5 \%$ of the matches. If they play 3 mo...

The mean and variance, respectively, of a binomial distribution for n independent trials with the probability of success as p, are

Consider a binomial random variable X. If X1, X2, ..., Xn are independent and identically distributed samples from the distribution of X with sum Y = $\Sigma_{i=1}^n X_i$, then the...

The probability that a part manufactured by a company will be defective is 0.05. If 15 such parts are selected randomly and inspected, then the probability that at least two parts...

A six-faced fair dice is rolled five times. The probability (in %) of obtaining "ONE" at least four times is

The probability that a screw manufactured by a company is defective is $$0.1$$. The company sells screws in packets containing $$5$$ screws and gives a guarantee of replacement if...

The probability of obtaining at least two $$'SIX'$$ in throwing a fair dice $$4$$ times is

Consider an unbiased cubic die with opposite faces coloured identically and each face coloured red, blue or green such that each color appears only two times on the die. If the die...

An unbiased coin is tossed five times. The outcome of each loss is either a head or a tail. Probability of getting at least one head is _______.

A coin is tossed $$4$$ times. What is the probability of getting heads exactly $$3$$ times?

A lot had $$10$$% defective items. Ten items are chosen randomly from this lot. The probability that exactly $$2$$ of the chosen items are defective is

In a manufacturing plant, the probability of making a defective bolts is $$0.1$$. The mean and standard deviation of defective bolts in a total of $$900$$ bolts are respectively