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MyMathLab Binomial Probability Questions

Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
P(x = 81)

Write the probability in words

Which of the following is the normal probability statement that corresponds to the binomial probability statement?
a. P(x < 81.5)
b. P(X > 81.5)
c. P(80.5 < x < 81.5)
d. P(x>80.5)
e. P(x < 80.5)
A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of which correct. Find the probability that the student gets exactly 15 correct answers. Use the normal distribution to approximate the binomial distribution.

 *Answer., 0.0823, 0.8577, 0.0606, 0.7967*