1. Binomial Fixed number trials Independent trials Only two outcomes
p is constant
Calculator:
binompdf(n,p,x) (for equal to)
binomcdf(n,p,x) (for less than or equal to)

2. Normal Bell-shaped curve Center is mean
Standard deviation controls “spread”
68, 95, 99.7
Calculator:
normalcdf(a,b,mean, stdev) (for between a and b)
invNorm(p, mean, stdev) (for area to the left equal to p)

3. Comparing Normal to Binomial
Differences
Similarities

4. Approximating Binomial with Normal
Decide whether this is a good idea:
Figure out which normal curve to use:
Don’t forget the continuity correction:

5. Exercise
P Data and Probability Connections: Mathematics for Middle School Teachers, Perkowski and Perkowski. Pearson Prentice Hall, NJ, 2007.

6. Sampling Distributions
Find a random sample
Statistic: a number that describes the sample.
Statistics are random, too.
Mean
Standard Deviation

7. Population 1
104.5 16
104.3 31
73.8 46
129.6 61
92.8 2
124.1 17
90.4 32
110.7 47
125.6 62
139.1 3
86.7 18
81.7 33
129.0 48
93.8 63
57.8 4
69.7 19
82.4 34
157.7 49
112.3 64
119.4 5
103.0 20
120.1 35
114.7 50
137.2 65
100.9 6
128.9 21
84.4 36
110.0 51
97.7 66
73.6 7
122.3 22
91.6 37
97.4 52
85.7 67
93.5 8
100.6 23
132.0 38
103.5 53
107.8 68
96.1 9
71.1 24
85.6 39
101.2 54
72.0 69
80.5 10
77.0 25
117.3 40
122.7 55
99.3 70
137.1 11
138.5 26
94.8 41
105.4 56
72.6 71
136.9 12
78.7 27
101.0 42
82.5 57
83.9 72
86.2 13
112.1 28
87.5 43
140.4 58
103.2 73
92.0 14
122.9 29
108.4 44
108.8 59
149.1 74
86.9 15
87.2 30
81.6 45 60
153.5 75
104.8

8. Histogram of Population

9. Central Limit Theorem

10. Homework Data and Probability Connections p 233 number 20.
Data and Probability Connections p 262 numbers 5, 9, and 10.