1)What is the following probabilities for a series of coin tosses:• A. 20 flips, 4 heads• B. 50 flips,10 heads• C. 50 flips,20 headsD. Plot the expected number of heads as a function of the number of the numberOf heads for a set of 100 coin flips.e)Show a proof by induction for the equation, the factorial integral.x"e- dx.f) Calculate (via numerical integration or other method) thevalue of the gamma function for n=10.5 & n=11.5. ThenCompare the values to the factorial integral valuesfor n=10,11 & 12.

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1)What is the following probabilities for a series of coin tosses: • A. 20 flips, 4 heads • B. 50 flips, 10 heads • C. 50 flips,20 heads

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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Question

1)What is the following probabilities for a series of coin tosses:
• A. 20 flips, 4 heads
• B. 50 flips,10 heads
• C. 50 flips,20 heads
D. Plot the expected number of heads as a function of the number of the number
Of heads for a set of 100 coin flips.
e)
Show a proof by induction for the equation, the factorial integral.
x"e- dx.
f) Calculate (via numerical integration or other method) the
value of the gamma function for n=10.5 & n=11.5. Then
Compare the values to the factorial integral values
for n=10,11 & 12.

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