Question

A survey showed that 48% of the adults liked to read as a leisure activity. If 40 adults were surveyed what is the probability that:

•Exactly 25 of them liked to read?

•At most 23 of them liked to read?

•Between 26 and 29 liked to read?

•More than 24 liked to read?

Answer 1

Let X denotes the number of adults who liked to read as a leisure activity among 40 adults.

X ~ Binomial( n = 40, p = 0.48)

The probability mass function of X is

Now,

The probability that exactly 25 of them liked to read

The probability that at most 23 of them liked to read

The probability that between 26 and 29 liked to read

The probability more than 24 liked to read