Final answer:
To find the binomial probability when the number of trials is 17, the probability is 0.46, and we want less than 13 successes, use the binomial probability formula. The probability of getting less than 13 successes is approximately 0.9936.
Step-by-step explanation:
To find the binomial probability when the number of trials is 17, the probability is 0.46, and we want less than 13 successes, we can use the binomial probability formula.
The binomial probability formula is: P(X < k) = sum of [nCk * p^k * q^(n-k)] for k = 0 to k-1.
In this case, the number of trials is 17, the probability is 0.46, and we want less than 13 successes. So, we need to calculate P(X < 13).
Using the binomial probability formula, we can calculate:
P(X < 13) = sum of [17Ck * (0.46)^k * (0.54)^(17-k)] for k = 0 to 12
Calculating this using a calculator or software, we find that P(X < 13) is approximately 0.9936 (rounded to 4 decimal places).