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Chapter 4 - Probability Distributions Flashcards | StudBud
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Chapter 4 - Probability Distributions
Chapter 4 - Probability Distributions
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#math #probability and statistics #chapter 4 #probability distributions
Flashcards
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Questions
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Answers
1
A random variable x represents a numerical value associated with each outcome of a probability
Ture
True
False
Fasle
2
What does this formula represent?
Poisson distribution
Discrete distribution
Binomial distribution
3
What is the formula for this population parameter of a binomial distribution?
∂2=npq
∂=√npq
p=P(S)
μ=np
4
Find the standard deviation using these values (round 3 places): n=20, p=0.5, q=0.5
0.2236
22.36
2236
2.236
5
What is the formula for this population parameter of a binomial distribution?
∂2=npq
∂=√npq
p=P(S)
μ=np
6
If P(S)=0.15, what is P(F)?
0.085
8.50
5.80
0.85
7
What is the symbol for the number of times a trial is repeated?
n
nx
x
xn
8
What does this formula represent?
Geometric distribution
Binomial distribution
Discrete distribution
9
What does this formula represent? P(x)=P(q)
x-1
Geometric distribution
Poisson distribution
Binomial distribution
10
What equation represents the mean of a discrete random variable?
x
β
α
ΣxP(x)
11
Find the variance using these values: n=20, p=0.5, q=0.5
0.5
1.05
0.05
5
12
Find the mean using these values: n=20, p=0.5, q=0.5
0.01
10
1.0
0.1
13
Σ(x-μ)
2
P(x) represents the variance of a discrete random variable.
False
True
14
What is the formula for this population parameter of a binomial distribution?
p=P(S)
μ=np
∂=√npq
∂2=npq
15
What is a geometric distribution?
The probability of success is constant for each trial.
A discrete probability distribution of a random variable
A trial is repeated until a success occurs.
The repeated trials are independent of each other.
16
If P(S)=0.2, what is P(F)?
0.8
0.08
0.008
8.0
17
What is poisson distrubution?
The experiment consists of counting the number
The number of occurrences in one interval is independent
The probability of the event occurring is the same for each
A discrete probability distribution of a random variable x
18
What is the symbol for the probability of success in a single trial?
α
β
Σ
p=P(S)
19
The expected value of a discrete random variable can be negative.
True
False
Ture
Fasle
20
A random variable is __ if it has uncountable number of possible outcomes
Random Variable
Probability Distribution
Continuous
Discrete
21
The equation for the standard deviation of a discrete random variable is __.
√Σ(x-μ)
ö2
√Σ(x-μ)2
Ρ(x)
22
x represents the volume of water in a 32-ounce container, is continuous or discrete?
Continous
Discrte
Discrete
Continuous
23
By listing possible values of x, you can construct a binomial probability distribution.
Fasle
True
False
Ture
24
Name one of the conditions that is satisfied by the binomial experiment
There are 3 possible outcomes
The same for one of the trials
Experiment is repeated trial are dependent on other trials
The random variable x counts the number of successful trials
