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BSB123 Tutorial 06 - Continuous probability distributions

# BSB123 Tutorial 06 - Continuous probability distributions -...

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Tutorial 6: Continuous Probability Distributions Reading Topic* Chapter Sections Page 6 6 6.1 6.2 166 - 181 Section A (Attempt before tutorial - Solutions provided on Blackboard) Problem 6.2 page 181 Problem 6.6 page 181 Problem 6.12 page 182 Problem 6.37 page 194 Problem 6.38 page 194 Section B (Worked through in class - Solutions provided in class) Problem 6.1 page 181 Given the standard normal distribution, what is the probability that (a) Z is less than 1.57? (b) Z is greater than 1.84? (c) Z is between 1.57 and 1.84? (d) Z is less than 1.57 or greater than 1.84? Problem 6.5 page 181 Given a normal distribution with µ=100 and σ=10, what is the probability that (a) X > 75? (b) X < 70? (c) X < 80 or X > 110? (d) 80% of the values are between what two X values (symmetrically distributed
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Unformatted text preview: around the mean)? Problem 6.7 page 181 In October 2005 the average Australian credit-card account balance was \$2,604, according to data extracted from the Reserve Bank of Australia. Assuming that these balances are approximately normal with a mean of \$2,604 and a standard deviation of \$1,500: (a) Find the probability that an account balance is less than \$2,500. (b) Find the probability that an account balance is more than \$5,000. (c) What proportion of account balances are between \$3,000 and \$4,000? (d) 99% of account balances are less than what amount?...
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