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On the chapter 8 math test last year 27% of students got an A. If there are 45 students that take the test this year, find the following: What is the probability that 8 students get an A? What is the probability that at least 7 students get an A? What is the expected number of students that will get an A? What is the standard deviation? 9. μ = 1.25; σ = .9682 10. A) μ = 4.5 B) σ = 1.7748 C) σ = 1.1619 11. A) n = 20; p = .25 B) μ = 5 12. A) .0687; .9313 B) μ = 2.4; σ = 1.3856 13. A) on calculator B) .1821 C) μ = 19.8; σ = .445 14. A) .1; .9 B) .0999 C) .10001 C) .2023 Geometric probability distribution function: geometpdf(p,x) Geometric cumulative distribution function: geometcdf(p,x) p is the probability of success x is the number of trials at which the first success occurs Aaron’s love potion works on 90% of women. What is the probability that the love potion will fail on the 6th girl he meets? What about on the 3rd girl? What is the probability that it takes more than 4 girls to fail? Suppose Roberto, a well-known major league baseball player finished last season with a .325 batting average. He wants to calculate the probability that he will get his first hit of the new season in his first at-bat. You define a success as getting a hit and define the random variable X = number of at-bats until Roberto gets his first hit. A. What is the probability that Roberto will get a hit on his first at-bat? What is the probability that it will take him at most 3 at-bats to get his first hit? What is the probability that it will take him more than 4 at-bats to get his first hit?