Note: for this problem, provide answers to 4 decimal places….
Note: for this problem, provide answers to 4 decimal places. You do not have to calculate values beyond 4 decimal places; only 4 as provided in the tables. Twenty percent (20%) of all students applying for a Ferentz Grant are awarded a grant. Assume obtaining a grant is consistent with the properties of a binomial probability distribution, and that fifteen (15) students have applied for a grant this year. Find the probabilities for the questions that follow. A copy of the binomial tables are provided here: BinomialsAndPoisson.pdf (1) Exactly five (5) students will receive a grant? [ans1] (2) Exactly eight (8) will not receive a grant? [Ans2] (3) Less than five (5) will receive a grant? [Ans3] (4) Seven (7) or eight (8) will receive a grant? [Ans4] (5) All fifteen (15) applicants receive a grant? [Ans5] (6) Determine the expected number of grant recipients: [ExpectedValue] (7) Compute the standard deviation for this binomial distribution: [StdDev]
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Note: the same diagram of this bell-shaped curve will be used for this question and the two questions that follow, although the data and the questions will be different. In the diagram above, which of the following MUST be true?
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