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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