SOLVE STEP BY STEP IN DIGITAL FORMAT9. The number of particles emitted from a source of radioactivity during a specified period is a random variablewith a Poisson distribution. If the probability that there are no emissions is 1/3, what is the probability that 2 ormore emissions occur?

Probability is the occurrence of an event. Probability is defined by the ratio of a number of…

Answered: 9. The number of particles emitted from…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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6. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model. The fault on rare occasions causes a catastrophe at high speed. Assume that the distribution of the number of cars per year will experience the fault is 8 on the average, find the probability that (a) at most 3 cars per year will experience a catastrophe, (b) more than 1 car per year will experience a catastrophe.
It is said that the number of traffic accidents in Sinchon Rotary follows the Poisson distribution, of which the expected value is three times per hour. When the number of traffic accidents in the Sinchon Rotary during the 30 days independent of each other is X1, X2, ..., X30, answer the following questions. (1) The random variable Y is the sum of the number of traffic accidents in the Sinchon Rotary for 30 days independent of each other. Find the distribution of Y. (e.g. normal distribution, binomial distribution, etc.) (2) Use (1) to calculate the probability that the time until two traffic accidents occur in 30 days exceeds 20 hours. (3) For three years, Mike had never seen a traffic accident while traveling the Sinchon Rotary almost every day, so he usually thought that the number of traffic accidents would be less than three per hour. To confirm this, A surveyed the number of traffic accidents at Sinchon Rotary for one hour for 30 days, and as a result, the average number of…
QUESTION 6 Let E and F be events of a sample space such that P(E)=0.40, P(F)=D0.25 and P(EnF)%=D0.25. Find the following probabilities: i. P(F|E) ii. P(EnF') iii. P(E|F') Attach File Browse My Computer QUESTION 7 Click Save amd Submit to save and submit. Click Save All Answers to save all answers. Save All Answers 84%
We have seen that nonindependence of alleles (possibly caused by differential mortality of genotypes) can lead to deviations from normal proportions of offspring genotypes. Find the probability that a surviving offspring from a selfing heterozygote with genotype Aa has zero, one, or two A alleles. Which cases follow a binomial distribution? Suppose that all of the homozygous offspring survive and half of the heterozygous offspring survive.
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9. The number of particles emitted from a source of radioactivity during a specified period is a random variable with a Poisson distribution. If the probability that there are no emissions is 1/3, what is the probability that 2 or more emissions occur?