Math:HS Statistics
... 8. Compute (using technology) and interpret the correlation coefficient of a linear fit. 9. Distinguish between correlation and causation. ...
... 8. Compute (using technology) and interpret the correlation coefficient of a linear fit. 9. Distinguish between correlation and causation. ...
3.1 Events, Sample Spaces, and Probability
... 1. All sample point probabilities must lie between 0 and 1 (i.e. 0 ≤ pi ≤ 1). 2. P The probabilities of all the sample points within a sample space must sum to 1 (i.e., pi = 1) Example 4 In example 1, we have only two sample points and thus, we can denote the corresponding two probabilities p1 and p ...
... 1. All sample point probabilities must lie between 0 and 1 (i.e. 0 ≤ pi ≤ 1). 2. P The probabilities of all the sample points within a sample space must sum to 1 (i.e., pi = 1) Example 4 In example 1, we have only two sample points and thus, we can denote the corresponding two probabilities p1 and p ...
Probability - Seattle Central College
... unknown. (this is sometimes called an experiment, or a random experiment) An Outcome is one specific result of a trial. A Sample Space is the set of all possible outcomes. It is usually represented by a capital S, but we will use the symbol § to represent sample space. (S is needed for something els ...
... unknown. (this is sometimes called an experiment, or a random experiment) An Outcome is one specific result of a trial. A Sample Space is the set of all possible outcomes. It is usually represented by a capital S, but we will use the symbol § to represent sample space. (S is needed for something els ...
Probability Progressions.ppt - Mathematics resources for learning
... certain, possible, impossible or an outcome always happens, never happens, sometimes happens. • Learning Activity – Lonely Pig (NZMATHS) – Describing events with own probability language (will, won’t, might). Using a dice. • “Dad will not be bringing me to school tomorrow. He never brings me to scho ...
... certain, possible, impossible or an outcome always happens, never happens, sometimes happens. • Learning Activity – Lonely Pig (NZMATHS) – Describing events with own probability language (will, won’t, might). Using a dice. • “Dad will not be bringing me to school tomorrow. He never brings me to scho ...
HW Solution 1 — Due: February 1
... (T) coming down after a fair coin is tossed are fifty-fifty. If a fair coin is tossed ten times, then intuition says that five heads are likely to turn up. Calculate the probability of getting exactly five heads (and hence exactly five tails). Solution: There are 210 possible outcomes for ten coin ...
... (T) coming down after a fair coin is tossed are fifty-fifty. If a fair coin is tossed ten times, then intuition says that five heads are likely to turn up. Calculate the probability of getting exactly five heads (and hence exactly five tails). Solution: There are 210 possible outcomes for ten coin ...
p(x) - Brandeis
... can say anything about the probabilities of their various outcomes (such as "Getting an even number" on the die, or "Getting 3 heads in 5 consecutive experiments with a coin") we need to make a reasonable guess about the probabilities of the elementary events (getting H or T for a coin , or one of s ...
... can say anything about the probabilities of their various outcomes (such as "Getting an even number" on the die, or "Getting 3 heads in 5 consecutive experiments with a coin") we need to make a reasonable guess about the probabilities of the elementary events (getting H or T for a coin , or one of s ...
Chapter 3 Probability
... 1. What are the odds for rolling a number divisible by 3 in a single roll of a fair die? 2. What are the odds against rolling a 7 or an 11 in one roll of a pair of fair dice? 3. What are the odds that there is at least one boy in a family of 4 children? ...
... 1. What are the odds for rolling a number divisible by 3 in a single roll of a fair die? 2. What are the odds against rolling a 7 or an 11 in one roll of a pair of fair dice? 3. What are the odds that there is at least one boy in a family of 4 children? ...
Counting Sample Points
... A fair die is tossed once. Find the probability that a 4 appear, when it is known that a number greater than 2 results in the toss of the die. The probability that a regularly scheduled flight departs on time is P(A)= 0.83, the probability that it arrives on time is P(B) = 0.82; and the probability ...
... A fair die is tossed once. Find the probability that a 4 appear, when it is known that a number greater than 2 results in the toss of the die. The probability that a regularly scheduled flight departs on time is P(A)= 0.83, the probability that it arrives on time is P(B) = 0.82; and the probability ...
A ∩ B
... • All possible outcomes together must have probabilities whose sum is exactly 1. • If all outcomes in the sample space are equally likely, the probability that event A occurs can be found using the formula P(A) = ...
... • All possible outcomes together must have probabilities whose sum is exactly 1. • If all outcomes in the sample space are equally likely, the probability that event A occurs can be found using the formula P(A) = ...
Conditional Probability
... and 25%, respectively of the product. It is known from the past experience that 2%, 3% and 2% of the products made by each machine respectively are defective. Now, we suppose that a finished product is randomly selected. What is the probability that it is ...
... and 25%, respectively of the product. It is known from the past experience that 2%, 3% and 2% of the products made by each machine respectively are defective. Now, we suppose that a finished product is randomly selected. What is the probability that it is ...
Chapter 5 Sections 1,2 Discrete Probability Distributions
... • Many decisions in business, insurance, and other real-life situations are made by assigning probabilities to all possible outcomes pertaining to the situation and then evaluating the results. • This chapter explains the concepts and applications of discrete probability distributions. In addition, ...
... • Many decisions in business, insurance, and other real-life situations are made by assigning probabilities to all possible outcomes pertaining to the situation and then evaluating the results. • This chapter explains the concepts and applications of discrete probability distributions. In addition, ...
Class1
... Denote the events, A = { arriving on time} , D = {departing on time} . P{A} = 0.8, P{D} = 0.9, P{AD} = 0.75. (a) P{A I D} = P{AD} / P{D} = 0.75 / 0.9 = 0.8333 (b) P{D I A}= P{AD} / P{A} = 0.75 / 0.8 = 0.9375 (c) Events are not independent because P{AI D} ≠ P{A}, P{DI A} ≠ P{D}, P{AD} ≠ P{A}P{D}. Act ...
... Denote the events, A = { arriving on time} , D = {departing on time} . P{A} = 0.8, P{D} = 0.9, P{AD} = 0.75. (a) P{A I D} = P{AD} / P{D} = 0.75 / 0.9 = 0.8333 (b) P{D I A}= P{AD} / P{A} = 0.75 / 0.8 = 0.9375 (c) Events are not independent because P{AI D} ≠ P{A}, P{DI A} ≠ P{D}, P{AD} ≠ P{A}P{D}. Act ...
Topic 14 Notes Jeremy Orloff 14 Probability: Discrete Random Variables
... We will view probability as dealing with repeatable experiments such as flipping a coin, rolling a die or measuring a distance. Anytime there is some uncertainty as to the outcome of an experiment probability has a role to play. Gambling, polling, measuring are typical places where probability is us ...
... We will view probability as dealing with repeatable experiments such as flipping a coin, rolling a die or measuring a distance. Anytime there is some uncertainty as to the outcome of an experiment probability has a role to play. Gambling, polling, measuring are typical places where probability is us ...
PDF
... such that the distributions will more or less describe the process. While the set of distributions {FX(t) | t ∈ T } can describe the random variables X(t) individually, it says nothing about the relationships between any pair, or more generally, any finite set of random variables X(t)’s at different ...
... such that the distributions will more or less describe the process. While the set of distributions {FX(t) | t ∈ T } can describe the random variables X(t) individually, it says nothing about the relationships between any pair, or more generally, any finite set of random variables X(t)’s at different ...