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In: Statistics and Probability

Consider the observations taken on the continuous random variable Y given in this dataset. x/y 0...

Consider the observations taken on the continuous random variable Y given in this dataset.

x/y

0

1

P(X=x)

0

0.72

0.08

0.80

1

0.08

0.12

0.20

P(Y=y)

0.80

0.20

1

1. Graph the data using an appropriate plot.

2. What are the key features of the graph?

3. Assess the normality of the data set. What can be concluded?

4. Compute the 5-number summary. Treat the sample mean and sample standard deviation as if they are the true population mean and standard deviation. Find P (Y > 90). Treat the sample mean and sample standard deviation as if they are the true population mean and standard deviation.

6. With a sample size of n = 50, what is the sampling distribution of the sample average? For a sample of size n = 50, find P(Y > 88.73).

Ensure all work is legible and organized.

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Expert Solution

orchestra answered 1 year ago
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