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

To find the probability of at least 43 successes in 110 trials with a binomial distribution, we can use the cumulative probability function. Using a binomial distribution calculator or formula, we find that the probability of exactly 43 successes is 0.0278. Then, we can find the probability of 44, 45, ..., 110 successes and add them up to get the probability of at least 43 successes.

Alternatively, we can use the complement rule and find the probability of 42 or fewer successes and subtract that from 1. Again using a binomial calculator or formula, we find that the probability of 42 or fewer successes is 0.9761. Therefore, the probability of at least 43 successes is 1 - 0.9761 = 0.0239, which corresponds to choice C.

In a Binomial Experiment Find the Probability of at Least