Use the normal distribution to approximate the desired probability. a certain question on a test is answered correctly by 25.0 percent of the respondents. estimate the probability that among the next 140 responses there will be at most 41 correct answers.

The probability that there will be at most 41 correct answers is 0.8790

Step-by-step explanation:

We can aproximate the probability by using a binomial distribution where:

p: A question on a test is answered correctly

n: number of responses

So, the mean of the distribution is given by:

and the standar deviation is given by:

The normalized variable for 41 correct answers is:

Hence, the probability that there will be at most 41 correct answers is:

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