CrownedQueen
06.04.2021 •
Mathematics
Consider the probability that fewer than 46 out of 134 students will not pass their college placement exams. Assume the probability that a given student will not pass their college placement exam is 98%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
a. Yes
b. No
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Ответ:
b. No
Step-by-step explanation:
Binomial approximation to the normal:
Binomial distribution has n trials, with p probability.
If
and , it can be approximated to the normal distribution.
Assume the probability that a given student will not pass their college placement exam is 98%.
This means that
134 students:
This means that
Necessary conditions:
Since the necessary condition n(1-p) < 10 is not satisfied, the answer is No, given by option b.
Ответ:
Option (B) is correct
Step-by-step explanation: