ITEC 610 Exam 1 | Assignment Help | Kogod School Of Business American University 

   Question #1

The heights of students in a class are 68, 61, 70, 73.5, 76, 82, 69, 72, 64, 71

a)   Calculate mean, median, variance, and standard deviation.

b)  Calculate ( 𝑋$ − 3𝛿, 𝑋$ + 3𝛿 ). Compare your results with Chebyshev's rule?

Question #2

Two dice are rolled.

A = ‘sum of two dice equals 6’ B = ‘sum of two dice equals 3’

C = ‘at least one of the dice shows a 1’ Write the sample space for A, B, and, C

What is P(A|C)?

What is P(B|C)?

Are A and C independent? What about B and C?

  Question #3

Let A and B be two events. Suppose the probability that neither A or B occurs is 9/14. What is the probability that one or both occur?

Question #4

The random variable X takes values -2,-1, 0, 1, and 2 with probabilities 1/11, 5/11, 2/11,1/11, 2/11 respectively. Compute E(X) and Var(X).

Question #5

Use the joint probability distribution for two random variables Rain and Wind below to answer following questions:

a.       Find the marginal probability P(Rain = light rain)

b.      Find the marginal probability P(Wind = strong wind)

c.       Find the conditional probability P(Rain = heavy rain | Wind = strong wind)

d.      Find the conditional probability P(Wind = some wind | Rain = light rain)