Download presentation

Presentation is loading. Please wait.

Published byAniya Hipps Modified over 2 years ago

1
Chapter 6: Probability

2
Flow of inferential statistics and probability SamplePopulation Inferential Statistics Probability

3
Jars of Marbles

4
Probability Equation Probability of A = Number of outcomes classified as A Total number of possible outcomes

5
Probability is Proportion Coin tosses -- p (heads) = ? Cards p (King of Hearts) = ? p (ace) = ? p (red ace) = ?

6
Number list 6, 6, 7, 7, 7, 7, 8, 8, 8, 9

7
Simple frequency table xf 91 83 74 62

8
Random Sample 1.Each individual in the population has an equal chance of being selected. 2.If more than one individual is selected, there must be constant probability for each and every selection.

9
Biased Sample

10
1, 1, 2, 3, 3, 4, 4, 4, 5, 6 xf 61 51 43 32 21 12

11
Frequency distribution 1 12345678 1 2 3 X frequency

12
Frequency distribution 2 12345678 1 2 3 X frequency

13
Normal Curve µ X

14
Normal Curve with percentages 13.59% µ z -20+1+2 34.13% 13.59% 2.28%

15
Comparison of Curves = 6 µ X 687480 6.5 (a) µ z 687480 (b) 0+2.00

16
Curve broken down into + - 3 sd’s z -20+1+2-3+3

17
Proportion in Tail vs. Body (A) z (B) Proportion in Body (C) Proportion in Tail 0.000.5000 0.010.50400.4960 0.020.50800.4920 0.030.51200.4880 0.210.58320.4168 0.220.58710.4129 0.230.59100.4090 0.240.59480.4052 0.250.59870.4013 0.260.60260.3974 0.270.60640.3936 0.280.61030.3897 0.290.61410.3859 Meanz z C C B

19
Comparison of 3 curves (c) z 0 -.5 µ (a) 0 1.0 z µ (b) z 0 1.5 µ

20
Comparison of 2 normal curves z (a) µ -0.4001.25 µ z (b) 0.3501.40

21
Z-score formula in relation to probability XZ Probability z-score formula Unit normal table

22
Normal curve with mean, 1 sd, and 2 z-scores = 100 X µ 500650 z 01.50

23
Normal curve with mean, 2 sd’s, and 3 z-scores = 100 X µ 500700 z 02.00 600 1.00

24
Normal curve with top 15% shaded = 100 X µ = 500 z 01.04 Top 15%

25
Curve with mean of 100, shaded below 114 X µ = 100 z 01.40 = 10 114

26
Curve with mean of 100, shaded below 92 X µ = 100 z 0-0.80 = 10 92

27
Curve with mean of 60, shaded below 34% X µ = 60 = 5 P = 0.3400 or 34%

28
Normal Curve with Quartiles 25% z Quartiles 0+0.67-0.67 Q1Q2Q3

29
Probability of heads in two coin tosses 0.50 0.25 0 012 Probability Number of heads in two coin tosses

30
Probability of heads in 4 & 6 coin tosses 01234 0.375 0.250 0.125 Probability (a) 0123456 Probability 0.2500 0.1875 0.1250 0. 0625 (b) Number of Heads in six coin tosses Number of Heads in four coin tosses

31
The Relationship Between the Binomial Distribution and the Normal Distribution X 012345678910

Similar presentations

Presentation is loading. Please wait....

OK

Numeracy Resources for KS2

Numeracy Resources for KS2

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on recycling waste materials Ppt on universal children's day Ppt on area of trapezium calculator Ppt on sources of energy for class 8th examination Ppt on natural resources of pakistan Ppt on area of trapezium formula Ppt on international marketing management Reading ppt on ipad Ppt on magic words Ppt on case study change management