{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

chap5-7 - Stat-315 Applied Probability and Statistics...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Stat-315 Applied Probability and Statistics Midterm 2 (Fall 2009) Name: Score: Students are required to finish the exam in class within two hours independently. Cheating is NOT allowed. Any forms of cheating or attempt to cheat is a serious offense which may lead to dismissal! Calculators (including TI-calculators) and two formula sheets are allowed. Please follow the steps to perform a test of hypothesis with either the critical value approach or the p-value approach. 1. Let f XY ( x,y ) = kxy for x = 1 , 3 and y = 1 , 2 be the joint probability function for discrete random variables X and Y . (a) Determine the value of k . (b) Compute P ( X = 1). (c) Compute E ( XY 2 ). 1 2. X and Y are independent, normal random variables with E ( X ) = 1, V ( X ) = 4, E ( Y ) = 10, and V ( Y ) = 9. Determine (a) E (2 X + 3 Y ). (b) V (2 X + 3 Y ). (c) P (2 X + 3 Y > 40). 2 3. Suppose that samples of size n = 25 are selected at random from a normal population with mean 100 and standard deviation 10. What is the probability that the sample mean falls in the interval from μ ¯ X- 1 . 5 σ ¯ X to μ ¯ X + 2 . σ ¯ X ?...
View Full Document

{[ snackBarMessage ]}

Page1 / 5

chap5-7 - Stat-315 Applied Probability and Statistics...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online