What proportion of NY Monopoly scratch-off Lotto tickets are winners? We will examine this by taking a random sample of n = 4178 Monopoly scratch-offs. Of these, x = 912 were winners. Let p be the (unknown) true proportion of NY Monopoly scratch offs which are winners. We want to estimate p. X s the random variable representing the number of sampled Monopoly scratch-offs which are winners. a) What type of probability distribution does X have? O Poisson CO Weibull O gamma O exponential O binomial b) What was the sample proportion, p, of sampled Monopoly scratch offs which were winners? | c) What is the R formula for the expected value of X in terms of n and p? On p On^2 On*p* (1-P) O sqrt(n*p*(1-p)) O 1/p
What proportion of NY Monopoly scratch-off Lotto tickets are winners? We will examine this by taking a random sample of n = 4178 Monopoly scratch-offs. Of these, x = 912 were winners. Let p be the (unknown) true proportion of NY Monopoly scratch offs which are winners. We want to estimate p. X s the random variable representing the number of sampled Monopoly scratch-offs which are winners. a) What type of probability distribution does X have? O Poisson CO Weibull O gamma O exponential O binomial b) What was the sample proportion, p, of sampled Monopoly scratch offs which were winners? | c) What is the R formula for the expected value of X in terms of n and p? On p On^2 On*p* (1-P) O sqrt(n*p*(1-p)) O 1/p
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:What proportion of NY Monopoly scratch-off Lotto tickets are winners? We will examine this by taking a random sample of n = 4178 Monopoly scratch-offs. Of these, x = 912 were winners. Let p be the (unknown) true
proportion of NY Monopoly scratch offs which are winners. We want to estimate p. X is the random variable representing the number of sampled Monopoly scratch-offs which are winners.
a) What type of probability distribution does X have?
O Poisson
O Weibull
C gamma
O exponential
O binomial
b) What was the sample proportion, p, of sampled Monopoly scratch offs which were winners?
c) What is the R formula for the expected value of X in terms of n and p?
O n*p
O n^2
O n*p*(1 - p)
O sqrt(n*p*(1-p))
O 1/p
d) What is the z critical value that we would use to construct a classical 95% confidence interval for p?
e) Construct a 95% classical confidence interval for p? (
f) How long is the 95% classical confidence interval for p?
g) If we are creating a 95% classical confidence interval for p based upon the sample size of 4178, then what is the longest possible length of this interval?
h) Copy your R script for the above into the text box here.
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