Sum of fibonacci numbers
Prove that the every positive integer can be written as the sum of Fibonacci numbers, whose indices are all di®erent, and contain no consecutive numbers.
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X is the normally distributed variable with mean = 30 and standard devaition = 4. Find:
Illustrate the sequence {Xn} by X1=2 and X(n+1)= 3/ (2+Xn) for n belongs to N. Prove that the {Xn} is convergent and find out its limit.
The gamma distribution of a certain area rainfall has shape parameter 3 and scale parameter 2. What is the probability that the area rainfall total will exceed 3cm?
At the = 0.05, test the claim that there is the difference in the proportion of female Internet users who plan to shop online and proportion of male Internet users who plan to shop online.
Let S be the set of all sets. Illustrate a relation R on S as follows: for any sets A and B, we say ARB iff A has the same cardinality as B. Show that R is reflexive, symmetric, and transitive.
Illustrate out the required sample size for problems 1 (H = 3), 3 (H = 0.5), and 5 (H = 0.05), assume that the population variances in problem 1 and 3 can be approximated by the sample variances.
Describe that the average degree in a tree is always less than 2. More specifically, express this average as the function of n, the number of vertices. (use the degree theorem)
For random sample of 60 seniors determine the probability that less than 70% have accepted job offers? For a sample of 6 senior who have accepted job offers determine the probability that the average salary is more thatn $30,000?
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