ikelihood of an event occuring /  likelihood of all possible events  is called   probabailty  relative risk  odds  odds  rati

Q: Illustrate probability density function of a normally distributed random variable?

A: f(x)=12πσ2e-(x-μ)22σ2   -∞<x<∞     X~N(μ,σ2)

Q: The probability of a player scoring a goal is 0.70. what is the probability that a the 5th goal is…

A: Given, p = 0.70 n = 8       To find, a. What is the probability that a the 5th goal is made on the…

Q: The random variables X and Y have joint pdf (x(1+3y²) fxy (x, y) = 0 < x < 2, 0< y < 1 4 0,…

A: Solution: The joint pdf of (X,Y) is given by  fXY(x,y)=x(1+3y2)4     0&lt;x&lt;2,  0&lt;y&lt; 10…

Q: 1- Non-Probability sampling methods allow a researcher to use the laws of chance to draw samples…

A: Non-Probability sampling methods allow a researcher to use the laws of chance to draw samples from…

Q: Describe how calculating probability for continuous random variables is different than calculating…

A: Calculating probability for continuous random variables is different than calculating probability…

Q: Describe the difference between theoretical probability and empirical probability.

A: There are equal chances of a head or a tail coming up when you flip a coin. So we can say that the…

Q: Losses are modeled by exponential distribution. The full credibility standard is for the actual loss…

A: Solution: From the given information, losses are modelled by exponential distribution. The…

Q: Define likelihood function with routine life example

A: Definition of liklihood function needs to be given with the real life example.

Q: A medical journal reports that the likelihood of having a headache during any single week is 0.045 .…

A: Given: Probability of success p = 0.045 n = 52 Formula Used: If a random variable X follows Poisson…

Q: what is the probability of an impossable event?

A: Basics: Impossible event: Impossible event is an event that is non -existing or can't occur. There…

Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A: Geometric distribution: The probability mass function of Geometric distribution is P(n) = p(1 - p)n…

Q: Define Coverage probabilities?

A:

Q: A property of a probability model and two or more events that allows the probabilitey of the…

A: If the two events A and B are independent, then PA∩B=PA×PB.

Q: How do you find the expected value of a random variable

A: A random variable is a variable that takes numerical values for each outcome of an experiment.  A…

Q: Show Differentiate between a significance level and a probability level?

A:

Q: What is a linear probability model? What are the drawbacks of linear probability models

A: In this problem, we need to write about the linear probability model and its drawbacks.

Q: what can you learn about random variable and probability distribution?

A: Random variable and probability distribution : First understand both terms separate - Random…

Q: Probability of getting bonus points is 7/16. Find the odds in favor of getting bonus points?

A: We have given that,  Probability of getting bonus points = 7/16 Then,  We will find the odds in…

Q: The World Series The World Series ends when a teamwins 4 games. Suppose that sports analysts…

A: Multiplication Rule: Multiplication rule for two independent events A and B is given by:

Q: hsSampling distribution is the distribution of a statistics. O True False

A: As we know sampling distribution is for sample mean or sample proportion.

Q: Explain PPS (probability proportionate to size)?

A: PPS (PROBABILITY PROPORTIONATE TO SIZE) METHOD: →PPS Method/Sampling is also known as probability…

Q: The sensitivity of a medical test is the true positive rate. In other words, the sensitivity is the…

A: Question 4)  X is the number of people who receive false positives. The sample size is 30. So, the…

Q: Describe the difference between theoretical probability and experimental probability of an event…

A: Introduction: It is required to differentiate between theoretical probability and experimental…

Q: What is chance variation? What are its causes? How can it be altered

A: Chance variation  or 'chance error' or 'random error' is the inherent error in any predictive…

Q: Define bias in terms of expected value?

A: In general bias is a tendency for a statistical parameter to be overestimated or underestimated.

Q: had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly…

A: Let X be the random variable that no. of flights arriving late.Given that,No. of Southwest flights…

Q: What is relative risk? Give an example of how it is interpreted

A:

Q: How do you find the likelihood ratio?

A:

Q: This type of data collection is where responses are limited to the questions in the instrument.…

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.