List of top Applied Mathematics Questions on Binomial distribution

A machinist is making engine parts with axle diameter of 0.7 cm. A random sample of 10 parts shows mean diameter 0.742 cm with a standard deviation of 0.04 cm. On the basis of this sample, find if you would say that the work is inferior.
(Given $t_9(0.05) = 2.262$)

If the mean and variance of a binomial distribution are $\dfrac{4}{3}$ and $\dfrac{8}{9}$ respectively, then find $P(X = 1)$.

If a fair coin is tossed 6 times, find the probability of getting at least 4 heads.