The number X of sick days taken during a year by an employee follows a Poisson distribution with mean 2. Let us observe four such employees. Assuming independence, compute the probability that their total number of sick days exceeds 10.
Answer to relevant QuestionsThe number of cracks on a highway averages 0.5 per mile and follows a Poisson distribution. Assuming independence, what is the probability that, in a 40-mile stretch of that highway, there are fewer than 15 cracks? Let X1, X2, X3, X4, X5 be a random sample of size 5 from a geometric distribution with p = 1/3. (a) Find the mgf of Y = X1 + X2 + X3 + X4 + X5. (b) How is Y distributed? Let X equal the weight of the soap in a “6-pound” box. Assume that the distribution of X is N(6.05, 0.0004). (a) Find P(X < 6.0171). (b) If nine boxes of soap are selected at random from the production line, find the ...A random sample of size n = 18 is taken from the distribution with pdf f(x) = 1 − x/2, 0 ≤ x ≤ 2. (a) Find μ and σ2. (b) Find P(2/3 ≤ X ≤ 5/6), approximately. In adults, the pneumococcus bacterium causes 70% of pneumonia cases. In a random sample of n = 84 adults who have pneumonia, let X equal the number whose pneumonia was caused by the pneumococcus bacterium. Use the normal ...
Post your question