Question

If the probability of rain on any given day in city x is 50 percent, what is the probability that it rains on exactly 3 days in a 5-day period?

Answer 1

Answer:

Since probability of raining is constant for each day and there are only two outcomes (rain or not rain), it satisfy the binomial distribution:

Let X be number of days that are raining.

Pr(X=3)=$^5C_3\cdot \left(0.5\right)^3\cdot \left(0.5\right)^2=\frac{5}{16}$

Hope it helps :)

Step-by-step explanation: