Question: Please I need help with this for better understanding and clarity. Thank you. a) If for a Poisson distribution 2P(X=0)+P(X=2)=2P(X=1), what is the mean of

Please I need help with this for better understanding and clarity. Thank you.

Please I need help with this for better understanding and clarity. Thank

a) If for a Poisson distribution 2P(X=0)+P(X=2)=2P(X=1), what is the mean of the distribution? [2 MARKS] b) The number of hits, X, per baseball game, has a Poisson distribution. If the probability of a no-hit game is 1/3, what is the probability of having 2 or more hits in a specified game? [4 MARKS] c) At a certain plant, accidents have been occurring at an average rate of 1 every 2 months. Assume that the accidents occur independently and that they follow the Poisson law. i. What is the probability of there being no accidents in three-quarters of a given year? ii. What is the probability of at least one accident per three-quarters of a year? [3 MARKS]

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