6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5...

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6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have time to read them. What is the probability that you will get 0, 1, 2, or all 3 questions correct?

Transcript of 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5...

Page 1: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

6.2 – Binomial Probabilities

You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have time to read them. What is the probability that you will get 0, 1, 2, or all 3 questions correct?

Page 2: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

Features of a Binomial Experiment:

1. There are a fixed number of trials (n)2. The n trials are independent and repeated under

identical conditions. (Replacing vs Not replacing for example)

3. Each trial has only two outcomes: success (S) and failure (F)

4. For each individual trial, the probability of sucess is the same. (p) The probability of failure (q) would be 1 - p.

5. The central problem of a binomial experiment is to find the probability of r success out of n trials.

Page 3: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

Guided Exercise #4

• As whole group, turn to page 218– Look-over answers

– Whole group clarification

Page 4: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

ExampleYou are at your ACT test... the probability that you will get 0, 1, 2, or all 3 questions correct? (Each question has 4 choices)

Outcomes P(Outcome) r

Page 5: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

Think about the number of successes that could occur if you had had 10 questions left ~ think about the math involved.....

Formula for the binomial probability distribution: (P.220)

Where…• n = number of trials• p = probability of success on each trial• q = 1 - p = probability of failure on each trial• r = random variable representing the number of successes out of n

trials 0 < r < n• ! = Factorial.....• Cn,r?number of combinations possible of each r value

Page 6: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

Example

10 trials, probability of success is 59% . What is the probability of 6 successes?

n = 10 p = .59 q = ___ r = 6

Page 7: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

Guided Exercise #5

• As whole group, turn to page 223– Cover answers

– Whole group clarification

IMPORTANT!!!!

Page 8: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

More Vocabulary

P. 224 in text bookWording is important….

Page 9: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

Checkpoint

List defining features of a binomial experiment

Compute binomial probabilities using the formula

Compute binomial probabilities using the table

Use the binomial probability distribution to solve real-world applications.

Page 10: 6.2 – Binomial Probabilities You are at your ACT test, you have 3 problems left to do in 5 seconds. You decide to guess on all three, since you don't have.

Homework

• Read Pages 216-225– Take notes on what we have not covered

• Do Problems – Page 225-229 (1-17) odds• Check odds in back of book

• Read and preload 6.3 information– Notes/vocab


Warm-up 6.2 Binomial Distribution (Day 1) You pay $1 to play Game A, which generates a payoff $0, $1, $2, or $3 with respective probabilities 0.4, 0.3,

Warm-up 6.2 Binomial Distribution (Day 1) You pay $1 to play Game A, which generates a payoff $0, $1, $2, or $3 with respective probabilities 0.4, 0.3,

Computing Binomial Probabilities With Minitab

Computing Binomial Probabilities With Minitab

Probability Models Chapter 17. Objectives: Binomial Distribution –Conditions –Calculate binomial probabilities –Cumulative distribution function –Calculate.

Probability Models Chapter 17. Objectives: Binomial Distribution –Conditions –Calculate binomial probabilities –Cumulative distribution function –Calculate.

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In this chapter, you will learn to: - deanza.edu€¦  · Web viewThe table below lists the probabilities for all cases, and shows a comparison with the binomial expansion of fourth

In this chapter, you will learn to: - deanza.edu€¦  · Web viewThe table below lists the probabilities for all cases, and shows a comparison with the binomial expansion of fourth

In each of the following, does the binomial situation ... U5 SP18 Day 1...Ex: BOO, .25) for our intro activity Chapter 17 - Binomial and Geometric Probabilities Binomial Setting: l.

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Objectives (BPS chapter 13) Binomial distributions The binomial setting and binomial distributions Binomial distributions in statistical sampling

Holt McDougal Algebra 2 Binomial Distributions The pattern in the table can help you expand any binomial by using the Binomial Theorem.

Holt McDougal Algebra 2 Binomial Distributions The pattern in the table can help you expand any binomial by using the Binomial Theorem.

Binomial Probabilities - Lecture19

Binomial Probabilities - Lecture19

TABLE OF BINOMIAL PROBABILITIES (BEGINS ON THE ...

TABLE OF BINOMIAL PROBABILITIES (BEGINS ON THE ...

Ch 4. Binomial Tree Modelhomepage.ntu.edu.tw/~jryanwang/courses/Financial... · 2020. 7. 7. · Therefore, pand 1 pare termed as risk neutral probabilities in the binomial tree fram-work.

Ch 4. Binomial Tree Modelhomepage.ntu.edu.tw/~jryanwang/courses/Financial... · 2020. 7. 7. · Therefore, pand 1 pare termed as risk neutral probabilities in the binomial tree fram-work.

AP STATS: Warm-Up. Agenda Today: Binomial Probabilities Wednesday: Open Notes Quiz (8.1)/Problem Set for the Half of the Class-Intro to geometric distributions.

AP STATS: Warm-Up. Agenda Today: Binomial Probabilities Wednesday: Open Notes Quiz (8.1)/Problem Set for the Half of the Class-Intro to geometric distributions.

Bowsermathbowsermath.weebly.com/uploads/9/8/3/0/9830313/stats_section_4.2_part_1.pdfSolution: Finding Binomial Probabilities Nlethod 2: Blnonual Probability Formula Solution: Finding

Bowsermathbowsermath.weebly.com/uploads/9/8/3/0/9830313/stats_section_4.2_part_1.pdfSolution: Finding Binomial Probabilities Nlethod 2: Blnonual Probability Formula Solution: Finding

Binomial Probabilities Copyright 2003, N. Ahbel.

Binomial Probabilities Copyright 2003, N. Ahbel.

combinations relate to binomial probabilities · combinations relate to ... Probability is also important in the study of sociological and natural phenomena. ... First, create a list

combinations relate to binomial probabilities · combinations relate to ... Probability is also important in the study of sociological and natural phenomena. ... First, create a list

1 Section 7.5B Binomial Random Variables...BINS and make sure you’re being asked to count the number of successes in a certain number of trials! + 8 Binomial Example Binomial Probabilities

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Binomial Random Variables Binomial Probability Distributions.

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Section 4.2 Binomial Distributions. Section 4.2 Objectives Determine if a probability experiment is a binomial experiment Find binomial probabilities.