A survey of a group\'s viewing habits over the last year the following informati

Question

A survey of a group's viewing habits over the last year the following information 40% watched gymnastics; 30% watched soccer; 30% watched baseball; 8% watched gymnastics and baseball; 7% watched baseball & soccer; 9% watched gymnastics and soccer; 5% watched all three sports; Calculate the percentage of the group that watched none of the three sports during the last year. An automobile manufacturer has three factories, A, B, and c. They produce 50%, 30%, and 20% respectively, of a specific model of car. 30% of the cars produced in factory A are white, 40% of those produced in factory B are white, and 25% produced in factory c are white. If an automobile produced by the company is selected at random, find the probability that it is white. Consider a Poisson distribution with a mean of three occurrences per time period. Write the appropriate Poisson probability function find the probability of six occurrences in two time periods Consider a binomial experiment with n=10 and p = 0.4 Compute f(2) Compute E(x)=? Variance (x)=? Compute P{X is less than or

Explanation / Answer

Solution :

In general, if X has the Poisson distribution with a rate of w events in t time units then:
X ~ Poisson(wt)

  P(X = x) = (wt)x * exp(-wt) / x! for x = 0, 1, 2, 3, 4, ...

  P(X = x) = 0 otherwise
the mean of the Poisson distribution is the parameter, wt
the variance of the Poisson distribution is the parameter, wt

For your question you have X ~ Poisson(2)

a)   
P(X = x) = 3x * e(-3) / x! for x = 0 , 1, 2, 3, ...
P(X = 0) = 0 otherwise

  

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