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Leaving Cert Statistics and Probability
Leaving Cert Statistics and Probability
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1
What is probability?
difference with how something will always happen verse never
The measure of likely hood to get something.
The explantation of how to get a better chance at something.
The law that describes how to get a better likely hood
2
Conditional Probabilities
178%
91%
9%
80%
3
What is the definition of mutually exclusive events?
Two events that cannot happen at the same time
Two events that can happen at the same time
The outcome of the first event effects the next event
The outcome of the first event has no effect on the next
4
Does this question represent conditional or independent probability?
Conditional
Independent
5
What is the probability of A?
0.5
0.65
0.75
0.25
6
Calculate the following probability.
15/256
1/16
41/80
1/2
7
Find the probability.
B
C
A
D
8
A normal distribution curve is __________
always purple in color.
funny
skewed
symmetric
9
Which numbers are not in the empirical rule?
95.7
95
68
99.7
10
Probability with Sets
D
B
A
C
11
Find the probability given;
18/23
12/23
26/23
14/23
12
What percentage of scores have a z score below 0?
68%
50%
45%
95%
13
Find the SIMPLE probability.
3/1
1/4
1/7
1/6
14
The area under a normal distribution curve is
there
.1
1
100
15
Find the missing probability
0.6
0.2
0.8
0.4
16
what does a z score of 1.2 tell you?
that something is 1.2 means above the mean
that something is 1.2 standard deviations above the range
that something is 1.2 standard deviations above the mean
that something is under schneider's bed
17
Find the probability.
A
D
C
B
18
The normal distribution is a continuous distribution.
False
TRUE
19
The Empirical Rule
68%
99.7%
95%
34%
20
When can the empirical rule be used?
For all data sets
Only when inside an empire
For skewed data
For bell shaped data
21
what is the empirical rule?
29-45-77 rule
68–95–99.7 rule
27-65-68.8
86-59-79.9 rule
22
find the Z
None of the above.
1.80
1.70
1.73
23
Which one of these is a Normal Distribution ?
D
A
C
B
24
A normal distribution must be
monomial
binomial
25
Consider the following IQ Normal Distribution:
34%
97.5%
2.5%
47.5%
26
Describe the data as mutually exclusive, independent, both, or neither.
Both
Independent
Mutually exclusive
Neither
27
Mutually exclusive events are events that:
Cannot be possible at the same time
Exclusive mutually
Understand each other well
Are not dating other sets of data
28
What is the z score if
μ = 15, x = 17 and the standard deviation = 2
2
does not exist
1
14
29
what's the probability?
25%
75%
100%
50%
30
The conditional probability formula is represented by
P(A ∪ B) = P(A) x P(B | A)
P(B | A) = P(A) x P(B)
P(B | A) = P(A ∩ B) / P(A)
P(B | A) = P( A ∪ B) / P(A)
31
Find the probability
B
A
D
C
32
If the two events are independent, which of the statements are true? The probability that...
exactly one fails is 0.52
they pass is 0.2
they both fail is 1.0
exactly one passes is 0.0576
33
What is the definition of Independent probability?
Events that correlate with each other
Each event that is not affected by any of the other events
Events that are affected given B = A
Each event that is affected by other events