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 functionf(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 weightsOver 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 functionf (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 of10 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 ofthese poodles having weightsi.m(5)Over 9.55 kilograms;Between 7.25 and 9.15 kilograms inclusive.ii.

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Description: 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 functionf(x)=2x^2, 0<x<1.Question 2: (5)In a multinational company, a se

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Answered: Question 1: (5) A red and a green dice…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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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