In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2, 36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $35, otherwise you lose $1. Complete parts (a) through (g) below Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Construct a probability distribution for the random variable X, the winnings of each spin. P(x) 0263 X 35 1 9737 (Type integers or decimals rounded to four decimal places as needed) (b) Determine the mean and standard deviation of the random variable X Round your results to the nearest penny μ = - .05 = 5.76 (c) Suppose that you play the game 70 times so that n = 70. Describe the sampling distribution of x, the mean amount won per game. The sample mean x is approximately normal What are the mean and standard deviation of the sampling distribution of x? Round your results to the nearest penny. ox
In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2, 36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $35, otherwise you lose $1. Complete parts (a) through (g) below Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Construct a probability distribution for the random variable X, the winnings of each spin. P(x) 0263 X 35 1 9737 (Type integers or decimals rounded to four decimal places as needed) (b) Determine the mean and standard deviation of the random variable X Round your results to the nearest penny μ = - .05 = 5.76 (c) Suppose that you play the game 70 times so that n = 70. Describe the sampling distribution of x, the mean amount won per game. The sample mean x is approximately normal What are the mean and standard deviation of the sampling distribution of x? Round your results to the nearest penny. ox
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Solve for C)
Transcribed Image Text:In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2, 36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the
number of the slot the ball falls into matches the number you selected, you win $35; otherwise you lose $1. Complete parts (a) through (g) below.
511
Click here to view the standard normal distribution table (page 1)
Click here to view the standard normal distribution table (page 2).
(a) Construct a probability distribution for the random variable X, the winnings of each spin
P(x)
0263
X
35
- 1
9737
(Type integers or decimals rounded to four decimal places as needed)
(b) Determine the mean and standard deviation of the random variable X. Round your results to the nearest penny
μ= 05
o= 5.76
(c) Suppose that you play the game 70 times so that n = 70. Describe the sampling distribution of x, the mean amount won per game.
The sample mean x is approximately normal
What are the mean and standard deviation of the sampling distribution of x? Round your results to the nearest penny.
Hx
Transcribed Image Text:Standard Normal Distribution Table (page 1)
Area
N
-3.4
-3.3
-3,2
-3.1
-3.0
-29
-2.8
-2.7
-2.6
<-2.5
-2.4
-2.1
-2.0
-1.8
0.00
0:0003
0.0005
0.0007
0.0010
0.0013
0.0019
0.0026
0.0035
0.0047
0.0062
0.0082
0.0107
0.0139
0.0179
0.0228
0.0287
0.0359
0.01
0.0003
0.0005
0.0007
0.0009
0.0013
0.0018
0.0025
0.0034
0.0045
0.0060
0.0080
0.0104
0.0136
0.0174
0.0222
0.0281
0.0351
0.02
0.0003
0.0005
0.0006
0.0009
0.0013
0.0018
0.0024
0.0033
0.0044
0.0059
0.0078
0.0102
0.0132
0.0170
0.0217
0.0274
0.0344
Standard Normal Distribution
0.03
0.04
0.05
0.0003
0.0004
0.0006
0.0009
0.0012
0.0017
0.0023
0.0032
0.0043
0.0057
0.0075
0.0099
0.0129
0.0166
0.0212
0.0268
0.0336
0.0003
0.0004
0.0006
0.0008
0.0012
0.0016
0,0023
0.0031
0.0041
0.0055
0.0073
0.0096
0.0125
0.0162
0.0207
0.0262
0.0329
0.0003
0.0004
0.0006
0.0008
0.0011
0.0016
0.0022
0.0030
0.0040
0.0054
0.0071
0.0094
0.0122
0.0158
0.0202
0.0256
0.0322
0.06
0.0003
0.0004
0.0006
0.0008
0.0011
0.0015
0.0021
0.0029
0.0039
0.0052
0.0069
0.0091
0.0119
0.0154
0.0197
0.0250
0.0314
0.07
0.0003
0.0004
0.0005
0.0008
0.0011
0.0015
0.0021
0.0028
0.0038
0.0051
0.0068
0.0089
0.0116
0.0150
0.0192
0.0244
0.0307
0.08
0.0003
0.0004
0.0005
0.0007
0.0010
0.0014
0.0020
0.0027
0.0037
0.0049
0.0066
0.0087
0.0113
0.0146
0.0188
0.0230
0.0301
0.09
0.0002
0.0003
0.0005
0.0007
0.0010
0.0014
0.0019
0.0026
0.0036
0.0048
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
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