Can you answer the last subsection D for question 1? Then answer question #2- Section A-B? Math 1680 Elementary Probability and StatisticsExercise Set 6Name:1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. One ball isselected at random. Consider games X defined as follows.RedBlueGreenBlack-$5.00 +$1.00+ $2.50 + $10.00(a) Find the probabilities P(X > 1.00) and P(X > 1.00).(b) Find the expected value, E(X).(c) Find the probability standard deviation, o(X).(d) Find the cumulative distribution functions F(r) = P(X < x).2. A cumulative distribution function of a random variable X is given as follows.0.00, if r< -2.0,0.30,if -2.0

Given information: 1. It was stated that an urn contains 4 red balls, 3 blue balls, 2 green balls…

1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. One ball is selected at random. Consider games X defined as follows. Blue X - 85.00 +$1.00 + $2.50 + S10.00 Green Black Red (a) Find the probabilities P(X > 1.00) and P(X 2 1.00). (b) Find the expected value, E(X). (c) Find the probability standard deviation, o(X). (d) Find the cumulative distribution functions F(2) = P(X < z). 2. A cumulative distribution function of a random variable X is given as follows. 0.00, if z<-2.0, 0.30, if -2.0 s z< 1.5, F(z) = {0.85, if 1.5 Sz< 2.0, 0.90, if 2.0 sz < 3.25, 1.00, if 3.25 S I. (a) Find the probability mass function. (b) Find the probability, P(1.0

1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. One ball is selected at random. Consider games X defined as follows. Blue X - 85.00 +$1.00 + $2.50 + S10.00 Green Black Red (a) Find the probabilities P(X > 1.00) and P(X 2 1.00). (b) Find the expected value, E(X). (c) Find the probability standard deviation, o(X). (d) Find the cumulative distribution functions F(2) = P(X < z). 2. A cumulative distribution function of a random variable X is given as follows. 0.00, if z<-2.0, 0.30, if -2.0 s z< 1.5, F(z) = {0.85, if 1.5 Sz< 2.0, 0.90, if 2.0 sz < 3.25, 1.00, if 3.25 S I. (a) Find the probability mass function. (b) Find the probability, P(1.0

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Can you answer the last subsection D for question 1? Then answer question #2- Section A-B?

Math 1680 Elementary Probability and Statistics
Exercise Set 6
Name:
1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. One ball is
selected at random. Consider games X defined as follows.
Red
Blue
Green
Black
-$5.00 +$1.00+ $2.50 + $10.00
(a) Find the probabilities P(X > 1.00) and P(X > 1.00).
(b) Find the expected value, E(X).
(c) Find the probability standard deviation, o(X).
(d) Find the cumulative distribution functions F(r) = P(X < x).
2. A cumulative distribution function of a random variable X is given as follows.
0.00, if r< -2.0,
0.30,
if -2.0 <r< 1.5,
F(r) = {0.85,
if 1.5 <a < 2.0,
0.90,
if 2.0 <a < 3.25,
1.00,
if 3.25 < r.
(a) Find the probability mass function.
(b) Find the probability, P(1.0 < X < 2.0).
(c) Find the expected value.
(d) Find the probability standard deviation.
3. From the urn of Problem 1, ten balls are selected at random with replacement.
(a) Estimate the probability that four or less red balls are selected.
(b) Estimate the probability that more than four blue balls are selected.

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