Binomial Distribution: cdf/pdf/Expected Value/Standard Deviation According to recent research, about 72% of all first year college students require a remedial math course. Suppose that an academic advisor randomly selects 50 first year students and that the sample satisfies the conditions for the Binomial Experiment. a. What is the probability that exactly 31 of the students will require a remedial math course? b. What is the probability that less than 31 of the students will require a remedial math course? c. What is the probability that 31 or less of the students will require a remedial math course? d. What is the mean (expected value) and standard deviation of a sample this size?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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I am not getting the correct answers, no matter what I do. I have a TI-Nspire CX calculator. Not sure if anyone could help me using that calculator or not. 

Binomial Distribution: cdf/pdf/Expected Value/Standard Deviation
According to recent research, about 72% of all first year college students require a remedial math
course. Suppose that an academic advisor randomly selects 50 first year students and that the sample
satisfies the conditions for the Binomial Experiment.
a. What is the probability that exactly 31 of the students will require a remedial math course?
b. What is the probability that less than 31 of the students will require a remedial math course?
c. What is the probability that 31 or less of the students will require a remedial math course?
d. What is the mean (expected value) and standard deviation of a sample this size?
Transcribed Image Text:Binomial Distribution: cdf/pdf/Expected Value/Standard Deviation According to recent research, about 72% of all first year college students require a remedial math course. Suppose that an academic advisor randomly selects 50 first year students and that the sample satisfies the conditions for the Binomial Experiment. a. What is the probability that exactly 31 of the students will require a remedial math course? b. What is the probability that less than 31 of the students will require a remedial math course? c. What is the probability that 31 or less of the students will require a remedial math course? d. What is the mean (expected value) and standard deviation of a sample this size?
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