See attached file for format and formulas.
Q4: 4 (+) Given the following contingency table:
A 10 30
A' 25 35
Find the following:
a) A | B
b) A' | B'
c) A | B'
Q4: 5 The manager of a large computer network has developed the following probability distribution of the number of interruptions per day:
Interruptions (X) P(X)
a. Compute the expected number of interruptions per day
Q4: 5 (+) Two investments, X and Y, have the following characteristics:
E(X) = $50, E(Y) = $100, s2X = $9,000, s 2y = $15,000, and s 2XY = $7,500.
If the weight of portfolio assets assigned to investment X is 0.4, compute the
a. portfolio expected return
b. portfolio risk
Q4: 5 (+) Assume a Poisson distribution.
a. If lamda = 2, find P( X >= 2 ) l = 2
X = 2
Q4: 6 Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1,
as in Table E.2), what is the probability that:
a. Z is less than 1.57
b. Z is greater than 1.84
c. Z is between 1.57 and 1.84
Q4: 6 (+) Given a normal distribution with mean = 100 and standard deviation = 10, what is
a. P( X > 75 ) ? m = 100
b. P( X < 70 ) ? s = 10
The solution provides step by step method for the calculation of Poisson and Normal probabilities. Formula for the calculation and Interpretations of the results are also included.
Multiple choice questions on Probability & Hypothesis
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