Question 1: Let X be the number of baseball tickets purchased per game by a randomly selected customer for a par- ticular venue and baseball season. Suppose the distribution of X is as follows: (a) (b) X 1 2 3 p(x) 0.1 0.4 0.3 4 0.2 Consider a random sample of size n = 2 (two customers), and let X be the sample mean number of tickets purchased. Obtain the probability distribution of X. Refer to part (a) and calculate P(X ≤ 3). Again consider a random sample of size n = 2, but now focus on the statistic R = the sample range. Obtain the distribution of R. (d) Refer to part (c), compute E(R).

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A: Solution: Given information:  n=856 Sample size  p^=0.41  Sample proportion p= 0.809 Population…

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A: As per our guidelines we are suppose to answer only one question. Let T= a customer buys apple tarts…

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A: From given data we have ; Total 25 student  P(boy)=35 P(blonde hair)=25 P(boy and blonde hair)=15

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A: class f midpoint(x) fx 42-45 22 43.5 957 46-49 13 47.5 617.5 50-53 6 51.5 309 54-57 3 55.5…

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A: From the provided information, X is normally distributed such that X~N(µ, 12). It is known that P (X…

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Q: test the claim that student-centered model results in a higher pass rate than the traditional model?

A: Given, Assume, student centered model; n1 = 567 x1 = 335 Assume, students traditional model; n2 =…

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A: From given data we have : n=100 x=40 Sample Prop. p^=xn=40100=0.4

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A: From the provided information, Total applicants = 479 121 have over 10 years of experience and 62…

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A: Given: n = 120 X = 88 P = 0.70 α = 0.05 Formula Used: p-value = P(Z≥z) Z = p^-PP(1-P)n

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A: given data clim : p &gt; 0.75n = 255x = 194α = 0.10

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A: given data x¯1  =  39s1 = 9n1 = 9x¯2  = 51s2 = 6n2 = 13α = 0.05claim : μ1 &lt; μ2

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A: given data, normal distribution ,μ=183.6σ=2.5n=19 p(M&gt;182.8) =?

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A: From the provided information, n1=10x1=3.6s1=1.3n2=12x2=1.0s2=0.3 Confidence level = 99%

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A: Given: n = 5 Formula Used: r = n∑XY-∑X∑Yn∑X2-∑X2n∑Y2-∑Y2

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A: Given that  P- value= 0.000  Alpha= 0.01

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A: Givenλ=13A random variable x~Exponential(λ=13)F(x)=P(X≤x)=1-e-xλ   ; x≥0

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Q: Find the p-value for a two-tailed hypothesis test with a test statistic of z= 2.49

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Q: 7.If X is a continuous RV whose PDF is given by Find c.and mean of X. _[c(4x-2x²), 0<x<2 0,…

A:

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A: given data, x=127n=420145p^ =xn   =127420145   =0.0003023claim :p≠0.000340α=0.005

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A: given data here we have to find out the permutation for the given data formula of permutation;n…

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A: Given that sample size is n= 64  sample mean is x̄= 74 and sample standard deviation is s= 4

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A: Please note that I have answered as per our guidelines. Please repost the remaining questions…