Week05_Exercises

# Week05_Exercises - d e f g 4 Refer to the Chance(Winter...

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Week 05 Exercises Instructions: Use the space provided to enter your answers. Be sure to use the Microsoft Equation Editor to show answers and calculations. 1) Suppose x is a random variable best described by a uniform probability distribution with = c 10 and = . d 30 Show calculations for each computation. a) Find ( ) f x b) Find the mean and standard deviation. 2) Find the value of z0 of the standard normal random variable z for the following probabilities. Show calculations for each computation. a) =. Pz z0 95 b) c) (- P < < )=. 2 z z0 97 10 d) e) 3) Suppose x is a normally distributed random variable with = μ 11 and = . σ 2 Find each of the following. Show calculations for each computation. a) P10 x 12 b)

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Week 05 Exercises c) ( ≥ P x . 13 24
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Unformatted text preview: ) d) e) f) g) 4) Refer to the Chance (Winter 2001) study of students who paid a private tutor to help them improve their SAT scores, presented in Exercise 2.101 (p.74). The table summarizing the changes in both the SAT-Mathematics and SAT-Verbal scores for these students is reproduced here. Assume that both distributions of SAT score changes are approximately normal. a) b) SA c) S A T-V e r b a Week 05 Exercises l d) Mean change in score e) 19 f) 7 g) Standard deviation of changes in score. h) 65 i) 4 9 j) k) Compute the probability that a student increases his or her score on the SAT-Math test by at least 50 points? Show calculations. l) m) n) o) p) q) r)...
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## This note was uploaded on 05/09/2010 for the course STA 4020 taught by Professor Yongxiakuang during the Spring '10 term at Rasmussen College.

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Week05_Exercises - d e f g 4 Refer to the Chance(Winter...

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