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A Population Has A Mean Of 73.5 And A Standard Deviation Of 2.5


A secretary commits 0,1,2,3,4, or 5 encoding errors on a given hour with probabilities 0.09, 0.30, 0.25, 0.15, 0.10, and 0.06 respectively. Find the probability that on the next hour she will commit more than 5 errors.


Probability value is a number from −1 to 1


Solve the following set of recurrence relations and initial conditions an = 4an−1 + n 2 − n , n ≥ 1; a0 = 1?


discuss the continuity of function f(={sin x/x and 1 at x=0

let x1=1 and Xn+1=squrrt(3xn)for all n€N show that (xn) is bounded ,monotone and converges to 3

Write an example of a function whose derivative can be found by using the following rules:

a) Product rule and special function differentiation rules

b) Power rule, quotient rule, and chain rule

c) Chain rule twice

d) Implicit differentiation and special function differentiation rule



The proportion of assignments completed within a given day is described by the probability density function f (x) = 12(x - x3) for 0 ≤ x ≤ 1. Find the expected proportion of completed assignments.


The proportion of assignments completed within a given day is described by the probability density function f (x) = 12(x - x^3 ) for 0 ≤ x ≤ 1. Find the expected proportion of completed assignments [4 marks].

 A 2-hour movie runs continuously at a local theater. You leave for the theater without first c checkingthe show times. Use an appropriate uniform density function to find the probability that you will arrive at the theater within 10 minutes of (before or after) the start of the film.


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