Question 1: (5) A red and a green dice is thrown. Find the sum of the faces of the dice. Construct the probability distribution for the even sums. Find the E(x) for the following function f(x)=2x^2, 0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 1: (5)

A red and a green dice is thrown. Find the sum of the faces of the dice. Construct the probability distribution for the even sums.
Find the E(x) for the following function
f(x)=2x^2, 0<x<1.

Question 2: (5)

In a multinational company, a server is installed to handle 200 computers. There is 40% chances that the sever is failed to perform certain task. What is the probability at least 3 out of 10 randomly selected servers will perform their tasked properly.

On average, 4 computers from a lab are sent to laboratory for the repair. Find the probability that in any given month not more than 6 computers will sent for the repair?

Question 3: (5)
The weights of a large number of miniature poodles are approximately normally distributed with a mean of 8 kilograms and a standard deviation of 0.9 kilograms. Find the probability of these poodles having weights
Over 9.55 kilograms;
Between 7.25 and 9.15 kilograms inclusive.

Question 1:
a) A red and a green dice is thrown. Find the sum of the faces of the dice. Construct the probability distribution for the even sums.
b)
Find the E (x) for the following function
f (x) = 2x²,
0 < x < 1.
Question 2:
a) In a multinational company, a server is installed to handle 200 computers. There is 40% chances that the sever is failed to perform certain task. What is the probability at least 3 out of
10 randomly selected servers will perform their tasked properly.
b) On average, 4 computers from a lab are sent to laboratory for the repair. Find the probability that in any given month not more than 6 computers will sent for the repair?
Question 3:
The weights of a large number of miniature poodles are approximately normally distributed with a mean of 8 kilograms and a standard deviation of 0.9 kilograms. Find the probability of
these poodles having weights
i.
m(5)
Over 9.55 kilograms;
Between 7.25 and 9.15 kilograms inclusive.
ii.
Transcribed Image Text:Question 1: a) A red and a green dice is thrown. Find the sum of the faces of the dice. Construct the probability distribution for the even sums. b) Find the E (x) for the following function f (x) = 2x², 0 < x < 1. Question 2: a) In a multinational company, a server is installed to handle 200 computers. There is 40% chances that the sever is failed to perform certain task. What is the probability at least 3 out of 10 randomly selected servers will perform their tasked properly. b) On average, 4 computers from a lab are sent to laboratory for the repair. Find the probability that in any given month not more than 6 computers will sent for the repair? Question 3: The weights of a large number of miniature poodles are approximately normally distributed with a mean of 8 kilograms and a standard deviation of 0.9 kilograms. Find the probability of these poodles having weights i. m(5) Over 9.55 kilograms; Between 7.25 and 9.15 kilograms inclusive. ii.
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