Revision 3 - Revision 3 Binomial distribution 1. 2. 3. 4. 1...

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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( ) 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: (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: (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 anti-cancer drugs is exponentially distributed with =6 kilograms per hour. What is the probability that the production 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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Revision 3 - Revision 3 Binomial distribution 1. 2. 3. 4. 1...

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