P(7 ≤x≤ 17), when X is poisson (10) using R is 0.99 O O O 0.86 0.65 0.77
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- What degrees of freedom would younormally expect a t test to have when N1 = 40 and N2 = 55?A statistics professor plans classes so carefully that the length of her classes are uniformly distributed between 49.0 and 59.0 minutes. Find the probaility that a given class period runs between 50.75 and 51.5 minutes?Nationally, at least 60% of Ph.D. students have paid assistantships. A collegedean feels that this is not true in his state, so he randomly selects 50 Ph.D.students and finds that 26 have assistantships. At α = 0.05, is the deancorrect?
- Suppose that Steph Curry's cumulative free throw percentage, one month into the NBA season, is below 80%, but that one game later it is above 80%. Did there have to be a moment where his cumulative free throw percentage was exactly 80%? If no, give a simple numerical example showing how this might fail to happen. If yes, explain why there must have been such a moment.The amount of time it takes Lexie to wait for the bus is continuous and uniformly distributed between 3 minutes and 16 minutes. What is the probability that it takes Lexie between 6 and 7 minutes given that it takes less than 11 minutes for her to wait for the bus? Provide the final answer as a fraction.A bowl contains 10 balls, of which 4 are red and 6 are white. Balls are randomly selected from the bowl until five red balls have been selected. Let X be the number of white balls drawn before the fourth red ball is selected. Calculate the Pr(X=6)
- In a café, the manager wishes to estimate p, the proportion of customers who will order sandwich for their lunch. Suppose 30 out of 300 customers will order sandwich for their lunch. Find the probability that more than 40 customers will order sandwich for their lunch by using a suitable approximationSuppose the math tutoring lab sees 56 students on a typical Tuesday and that the number of students per day is Poisson distributed. a. Find P(X ≤ 43). What function or formula did you use to answer this question? On my TI-84 Plus, I did a PoissonCDF with Lambda = 56 and the x value = 43. This resulted in 0.04309... Was I correct in using the PoissonCDF, or should I have used the PoissonPDF? b. What is the probability that more than 60 students will come in next Tuesday? Likewise, on my TI-84 Plus, I did a PoissonCDF with Lambda = 60 and the x value = 56. This resulted in 0.7309... Was I correct in assuming that the Lambda is 60 and the x value is 56?A 6-foot sub valued at $25 is divided among five players (P1, P2, P3, P4, P5) using the last diminisher method. The players play in a fixed order, with Pl first, P2 second, and so on. I round 1, P1 makes the first cut and makes a claim on a C-pièce. For each of the remaining players, the value of the current C-piece at the time it is their turn is given in the following table: a.) What is the fair share for each player? Show your work in the space provided below. b.) What does player 2 do with the piece and why? c.) What does player 3 do with the piece and why? d.) What does player 4 do with the piece and why? e.) What does player 5 do with the piece and why? £) Who gets the piece at the end of round 2 and why is it that person? g.) What is the value of the piece?
