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thebestandrew922
02.11.2019 •
Mathematics
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.
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Ответ:
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:
Ответ:
306.9
Step-by-step explanation: 3.1 x 11 = 34.1 x 9 = 306.9