In a binomial experiment find the probability of at least 43 successes in 110 trials if . Round your answer to four decimal places.
A)0.9761
B)0.4511
C)0.0239
D)0.4560
E)0.1853

Question

In a binomial experiment find the probability of at least 43 successes in 110 trials if  . Round your answer to four decimal places. ​
A)0.9761 
B)0.4511 
C)0.0239 
D)0.4560 
E)0.1853

Quizplus · Accepted Answer

We can use the binomial probability formula to find the probability of at least 43 successes in 110 trials:
P(X ≥ 43) = 1 - P(X < 43)
= 1 - P(X ≤ 42)
= 1 - Σ(i=0 to 42) (110 choose i) * 0.11^i * 0.89^(110-i)
Using software or a calculator, we find P(X ≥ 43) ≈ 0.0239. Therefore, the answer is C: 0.0239.

In a Binomial Experiment Find the Probability of at Least