# Question

You’d like to estimate the proportion of the 14,201 (www.syr.edu/about/facts.html) undergraduate students at Syracuse University who are full-time students. You poll a random sample of 100 students, of whom 94 are full-time. Unknown to you, the proportion of all undergraduate students who are fulltime students is 0.951. Let X denote a random variable for which x = 1 denotes full-time student and for which x = 0 denotes part-time student.
a. Describe the data distribution. Sketch a graph representing the data distribution.
b. Describe the population distribution. Sketch a graph representing the population distribution.
c. Find the mean and standard deviation of the sampling distribution of the sample proportion for a sample of size 100. Explain what this sampling distribution represents. Sketch a graph representing this sampling distribution.

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