Which of the following is NOT a Property of Normal Probability Distribution?

The curve is asymmetrical about its center

What is the main difference between the T distribution and the Z distribution?

The T distribution is used when the sample size is small (n < 30)

What is the formula when finding Variance of a Discrete Random Variable?

𝝈² = ∑[𝑿² • 𝑷(𝑿)] − 𝝁𝟐

How to find the Mean of a Discrete Random Variable?

𝝁 = ∑[(𝑋) • 𝑃(𝑋)]

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STATISTICS AND PROBABILITY GAME

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Answers

1
Which of the following is NOT a Property of Normal Probability Distribution?
The distribution curve is bell-shaped.
The total area under the normal curve is equal to 1 oг 100%.
The mean, median and mode coincide at the center.
The curve is asymmetrical about its center
2
What is the main difference between the T distribution and the Z distribution?
The Z distribution is used when the sample size is larger or (n < 30)
The T distribution is used when the sample size is small (n < 30)
The Z distribution is used when the sample size is small or (n < 30)
The T distribution is used when the sample size is larger (n < 30)
3
What is the formula when finding Variance of a Discrete Random Variable?
𝝈² = ∑[𝑿² • 𝑷(𝑿)] − 𝝁𝟐
𝝈 = [𝑿• 𝑷(𝑿)] − 𝝁𝟐
𝝈 = ∑[𝑿𝟐• 𝑷(𝑿)] − 𝝁𝟐
𝝈² = ∑[𝑿𝟐• 𝑷(𝑿)]
4
What is the probability of flipping heads on a fair coin?
1/6
1/4
1/8
1/2
5
The z-distribution can be used if the sample size is small (n < 30) and the population standard deviation o is unknown.
True
False
6
What is combination formula?
nCr = n!/(n-r)! r!
nCr = r!/(n-n)! r!
nCr = n!/(n-r)! r!
nCr = r!/(r-n)! n!
7
What is the formula when finding the degree of freedom?
Df = n+1
Df = n × 1
Df = n/1
Df = n-1
8
What is the probability of drawing an Ace from a standard deck of 52 cards?
1/13
2/13
4/13
3/13
9
______ is a function that associates a real number of each element in the sample space.
Continuous Random Variable
Sample Size
Random Variable
Discrete Random Variable
10
It is a value/number which describes the population
Statistics
Parameter
Population
Sample
11
How to find the Mean of a Discrete Random Variable?
𝝁 = ∑[(𝑋) • 𝑃(𝑋)] - 𝝁²
𝝁 = ∑[(𝑋) • 𝑃(𝑋)]
𝝁² = ∑[(𝑋) • 𝑃(𝑋)]
𝝁 = ∑[(𝑋²) • 𝑃(𝑋)]
12
What is the probability of flipping a coin three times and getting heads every time?
4/8
1/8
3/8
2/8
13
What is the Confidence Interval of 95% Confidence Level?
2.58
2.17
1.96
1.65

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