List of top Mathematics Questions on binomial distribution asked in KEAM

If the sum of the first two terms of a G.P. is 12 and the third term is 16, find the common ratio \( r \).

If \( y = \log_e (x^3 + 24) \), find \( \frac{dy}{dx} \) at \( y = \log_e 2 \).

Four unbiased coins are tossed simultaneously. Probability of getting at most two heads is ________.

An unbiased die is tossed until 5 appears. If \( X \) denotes the number of tosses required, \( \frac{25}{P(X=5)} \) is equal to

The mean and variance of a binomial distribution are 8 and 4 respectively. What is \( P(X=1) \)?

The mean and variance of a binomial distribution are 8 and 4 respectively. What is \( P(X=1) \)?