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 X- $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(x)= 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

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Can you answer question 1. A-C only please! Thank you!!

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
X - $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(x):
P(X < x).
2. A cumulative distribution function of a random variable X is given as follows.
0.00,
if x < -2.0,
0.30,
if –2.0 < x < 1.5,
F(x) =
0.85, if 1.5 < x < 2.0,
0.90,
if 2.0 < x < 3.25,
1.00,
if 3.25 < x.
(o) Lind the prebebilitu megg funotion
Transcribed Image Text: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 X - $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(x): P(X < x). 2. A cumulative distribution function of a random variable X is given as follows. 0.00, if x < -2.0, 0.30, if –2.0 < x < 1.5, F(x) = 0.85, if 1.5 < x < 2.0, 0.90, if 2.0 < x < 3.25, 1.00, if 3.25 < x. (o) Lind the prebebilitu megg funotion
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