Recent questions tagged binomial-distribution

A reliability engineer tests two independent machines. Machine $A$ has $7$ identical safety sensors, and machine $B$ has $11$ identical safety sensors. Each sensor indepe...

For each element in a set of size $2n$, an unbiased coin is tossed independently. An element is chosen if the corresponding coin toss results in a head. What is the proba...

Let Z be the number of heads obtained when Alice tossed an unbiased coin 4 times. Then, Bob tossed the same coin a further Z times. Given that Bob got 2 heads, what is th...