Suppose you have an experiment where you draw three cards (with replacement) from a standard deck of 52 cards. You then count the number of aces drawn. Use this experiment to address each of the following questions. Round solutions to four decimal places, if necessary. a) State the random variable. X = the number of aces observed when you draw three random cards ✓ b) Construct a probability distribution table for the number of aces obtained when three cards are randomly drawn (with replacement). Enter the c-values from smallest to largest. C P(x) 0 0.7865 1 0.1966 2 0.0164 3 0.0005 c) Determine the shape of the probability distribution of x. V The probability distribution of x is Right-skewed
Suppose you have an experiment where you draw three cards (with replacement) from a standard deck of 52 cards. You then count the number of aces drawn. Use this experiment to address each of the following questions. Round solutions to four decimal places, if necessary. a) State the random variable. X = the number of aces observed when you draw three random cards ✓ b) Construct a probability distribution table for the number of aces obtained when three cards are randomly drawn (with replacement). Enter the c-values from smallest to largest. C P(x) 0 0.7865 1 0.1966 2 0.0164 3 0.0005 c) Determine the shape of the probability distribution of x. V The probability distribution of x is Right-skewed
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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Transcribed Image Text:Suppose you have an experiment where you draw three cards (with replacement) from a standard deck of
52 cards. You then count the number of aces drawn. Use this experiment to address each of the following
questions. Round solutions to four decimal places, if necessary.
a) State the random variable.
X = the number of aces observed when you draw three random cards ✓
b) Construct a probability distribution table for the number of aces obtained when three cards are
randomly drawn (with replacement). Enter the x-values from smallest to largest.
T
P(x)
0
0.7865
1
0.1966
2
0.0164
3
0.0005
c) Determine the shape of the probability distribution of .
V
The probability distribution of x is Right-skewed
d) Find the mean number aces drawn when three cards are randomly selected.
μ=
Transcribed Image Text:0.1966
2
0.0164
3
0.0005
c) Determine the shape of the probability distribution of .
The probability distribution of a is Right-skewed
d) Find the mean number aces drawn when three cards are randomly selected.
P=
The mean of a discrete probability distribution is also notated by E(x)
Which of the following is the correct interpretation of the mean?
If you draw three random cards with replacement over and over, you can expect to get an average of 0.2309 aces for every three cards drawn ✓
e) Find the standard deviation for the number of aces drawn when three cards are randomly selected.
0 =
f) Find the probability of drawing one or less aces.
P(one or less aces)
hp
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