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Unformatted text preview: Revision 3 Binomial distribution 1. 2. 3. 4. 1 5. 6. 7. 8. 9. 10. 2 Poisson distribution: X~Po( μ ) 1. 2. 3. 4. 5. 6. 7. 3 8. 9. 10. 11. 4 Continuous Uniform Distribution 1. 2. 3. 5 Normal distribution 1. Use the Standard Normal distribution tables to find the following: 2. Find the value of a in the following: 6 3. 7 4. 5. 6. 8 7. 8. 9. 10. 11. 9 Exponential distribution 1. X is an exponential variable with =0.5. Find the following probabilities: λ (i) P(X>1) (ii) P(X>0.4) (iii) P(X<0.5) (iv) P(X<2) 2. X is an exponential variable with =0.3. Find the following probabilities: λ (i) P(X>2) (ii) P(X<4) (iii) P(1<X<2) (iv) P(X=3) 3. The production of a complex chemical needed for anticancer drugs is exponentially distributed with =6 kilograms per hour. What is the probability that the production λ process requires more than 15 minutes to produce the next kilogram of drugs. 4. The time between breakdowns of aging machines is known to be exponentially distributed with a mean of 25 hours. The machine has just been repaired. Determine the distributed with a mean of 25 hours....
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 Spring '10
 YY
 Normal Distribution, Poisson Distribution, distr ibution, following probabilit ies

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