Question

match the binomial probability ( p(x < 23) ) with the correct statement.

a. ( p(\text{there are more than } 23 \text{ successes}) )
b. ( p(\text{there are at most } 23 \text{ successes}) )
c. ( p(\text{there are fewer than } 23 \text{ successes}) )
d. ( p(\text{there are at least } 23 \text{ successes}) )

Explanation:

• \(P(x < 23)\) means the probability that the number of successes \(x\) is less than \(23\).
• “Fewer than” is a synonym for “less than”.

Answer:

C. P(there are fewer than 23 successes)