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