The June Bootids meteor shower produces about 6 observable meteors per hour. Suppose that X, the number of observable meteors we in a one- hour period has a Poisson distribution with parameter A = 6. The Poisson distribution is very useful in analyzing phenomena w occur randomly in space or time. Let Y be the number of observable meteors we see in a two-hour period. Y can also be modeled as a P random variable. a. For our model, what is expected value of X? b. What is the probability that X = 7? c. What is the probability that X < 7?

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The June Bootids meteor shower produces about 6 observable meteors per hour. Suppose that X, the number of observable meteors we see
in a one- hour period has a Poisson distribution with parameter 1 = 6. The Poisson distribution is very useful in analyzing phenomena which
occur randomly in space or time. Let Y be the number of observable meteors we see in a two-hour period. Y can also be modeled as a Poisson
random variable .
a. For our model, what is expected value of X?
b. What is the probability that X = 7?
c. What is the probability that X < 7?
d. What is the probability that X > 7
e. What is the probability that X > 9
f. Y also has a Poisson distribution. What is the parameter Ay for Y?
g. What is variance of X?
h. What is the standard deviation of X?
i. What is the probability that Y = 9
j. What is the probability that X>9 given that X>7?
Transcribed Image Text:The June Bootids meteor shower produces about 6 observable meteors per hour. Suppose that X, the number of observable meteors we see in a one- hour period has a Poisson distribution with parameter 1 = 6. The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time. Let Y be the number of observable meteors we see in a two-hour period. Y can also be modeled as a Poisson random variable . a. For our model, what is expected value of X? b. What is the probability that X = 7? c. What is the probability that X < 7? d. What is the probability that X > 7 e. What is the probability that X > 9 f. Y also has a Poisson distribution. What is the parameter Ay for Y? g. What is variance of X? h. What is the standard deviation of X? i. What is the probability that Y = 9 j. What is the probability that X>9 given that X>7?
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