At a carnival there is a booth with a dice game. Players pay $5 to roll two dice. If any of the dice show 6, the player wins $10. Score may change after teacher review. a. Let the random variable X = the player's profit in one play of this game. Create the probability model. Enter your P(X) values as fractions, #/#. X P(X) type your answe type your answe E(X)=$ type your answer... b. Find the expected value of the random variable. type your answer... type your answe c. Interpret the expected value in context. d. Find the standard deviation. type your answe SD (a)=$type your answer.....

A First Course in Probability (10th Edition)
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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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Score may change after teacher review.
At a carnival there is a booth with a dice game. Players pay $5 to roll two dice. If any of the dice show 6, the player wins $10.
a. Let the random variable X = the player's profit in one play of this game. Create the probability model. Enter your P(X) values as fractions, #/#.
X
ON
P(X)
E(X)=$ type your answer...
W
b. Find the expected value of the random variable.
type your answe
type your answe
c. Interpret the expected value in context.
type your answer...
d. Find the standard deviation.
71
SD(x) = $ type your answer...
X
#m
3
type your answe
$
type your answe
t
%
5
t
DELL
6
9
y
v lo
&
7
h
0
* 00
5
j
P
alt
Transcribed Image Text:3 4 5 Score may change after teacher review. At a carnival there is a booth with a dice game. Players pay $5 to roll two dice. If any of the dice show 6, the player wins $10. a. Let the random variable X = the player's profit in one play of this game. Create the probability model. Enter your P(X) values as fractions, #/#. X ON P(X) E(X)=$ type your answer... W b. Find the expected value of the random variable. type your answe type your answe c. Interpret the expected value in context. type your answer... d. Find the standard deviation. 71 SD(x) = $ type your answer... X #m 3 type your answe $ type your answe t % 5 t DELL 6 9 y v lo & 7 h 0 * 00 5 j P alt
Expert Solution
Step 1

pay $ 5 to roll two dice. 

win $ 10  if any of the dice shows 6.

 

P(event) = no. of favorable outccomstotal outcomes

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