19 prob notes 4.notebook - gov math_11/probability... · (binomial expansion) 19 prob notes...

32
19 Prob Notes 4.notebook October 13, 2010

Upload: trinhdien

Post on 09-Mar-2018

223 views

Category:

Documents


3 download

TRANSCRIPT

Page 1: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 2: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Tree Diagram (3 rolls)

Page 3: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Tree Diagram (3 rolls)

Page 4: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 5: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 6: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

(highlight the relevant info)

Page 7: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 8: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

p4  (binomial expansion)

Page 9: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

p4  +  4p3q1   (binomial expansion)

Page 10: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

p4  +  4p3q1   +  6p2q2     (binomial expansion)

Page 11: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

p4  +  4p3q1   +  6p2q2     +  4p1q3      (binomial expansion)

Page 12: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

p4  +  4p3q1   +  6p2q2     +  4p1q3      +  q4

(binomial expansion)

Page 13: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

p4  +  4p3q1   +  6p2q2     +  4p1q3      +  q4

Each time the exponents add to "n" which is 4 in this example.

Page 14: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

event complement

Page 15: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 16: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

end of page

Page 17: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 18: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 19: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Press: 2ND Vars (which is DISTR)

Select: A: binompdf(

Press: 5 0.9 2 )

Page 20: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Press: 2ND Vars (which is DISTR)

Select: A: binompdf(

Press: 5 0.9 2 )

screen looks similar to

Page 21: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Press: 2ND Vars (which is DISTR)

Select: A: binompdf(

Press: 5 0.9 2 )

screen looks similar to

Our answer is: .0081

Page 22: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

X =X ≤X ≥

Page 23: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

X =X ≤ 3X ≥

because X could be 0, 1, 2, or 3

Page 24: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 25: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Press: 2ND Vars (which is DISTR)

Select: B: binomcdf(

Press: 5 0.9 3 )

Page 26: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Press: 2ND Vars (which is DISTR)

Select: B: binomcdf(

Press: 5 0.9 3 )

screen looks similar to

Page 27: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Press: 2ND Vars (which is DISTR)

Select: B: binomcdf(

Press: 5 0.9 3 )

screen looks similar to

Our answer is: .08146( .0815 )

Page 28: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Practice:  15 H  #1­3, #5­7, 8 or 9 challenge

Page 29: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 30: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 31: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010

Page 32: 19 Prob Notes 4.notebook - Gov Math_11/Probability... · (binomial expansion) 19 Prob Notes 4.notebook October 13, 2010 p 4 + 4p q3 1 ... 19 Prob Notes 4.notebook October 13, 2010

19 Prob Notes 4.notebook October 13, 2010