A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 3 cars needs to have oil added. If this is true, what is the probability of each of the following: (a) What is the probability that at least two of the next cars need oil? Probability = (b) What is the approximate probability that between 181 and 216 of the next 600 cars need oil (Use the Normal approximation technique)? Probability =

Q: A group of people were asked if life exists elsewhere in the galaxy. 140 responded "yes", and 324…

A: It is given that, 140 responded "yes" and 324 responded "no" about life exists elsewhere in the…

Q: Suppose the probability of having a boy or a girl is equally likely.  In 6 births, what is the…

A:

Q: Suppose that the probability an archer will hit a target is 0.35 and that each shot is independent.…

A: The result of the archer's shot is independent.  The probability that an archer will hit a target =…

Q: a fair six sided die is rolled 10 times.each is independent.you want to find probability of finding…

A: Let the random variable X denotes the number of times a fair six-sided die is rolled. The number of…

Q: If the probability that a randomly chosen college student is up to date on vaccines is 0.42, then…

A: The question is about probability Given : Prob. of a randomly chosen college stud. is up to date on…

Q: If the probability of catching an animal in a trap is 0.1 , then what is the probability that, out…

A: Given that, The probability of catching an animal in a trap is 0.1 Sample size = 5

Q: The probability that it will rain on a given day is 0.23. What is the probability that it will not…

A: The probability that it will rain on a given day is 0.23 P(Rain) = 0.23 We know that , complement of…

Q: Consider the case when the predetermined average number of bus arrivals at the Cubao station is 6…

A: Solution: Let X be the number of buses arriving a 15 minute period. From the given information,…

Q: I need help with this question for Statistic, Suppose that the probability that a passenger will…

A: Introduction:If X ~ Bin (n, p), then the probability mass function of X is:p (x) = (nCx) px (1 – p)n…

Q: The probability of an event is 12/27. What are the odds in favor of the event? What are the odds…

A: From the provided information, The probability of an event (p) = 12/27

Q: Use the given data for problem 2 and 3. Find each indicated value in order to find the equation of…

A: x y (xi-xbar) (yi-ybar) (xi-xbar)2 (xi-xbar)(yi-ybar) 2456 7111320 -2.25-0.250.751.75…

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Given that, The chance of rain is 20% The chance of it being sunny is 60% The chance of it being…

Q: The Wilson family was one of the first to come to the U.S. They had 8 children. Assuming that the…

A: given data sample size (n) = 8 childrensP(girl) = p = 0.5x = no. of girls family hadP(x=X)=…

Q: What two regression inferences did we discuss in this section? What assumptions are required for…

A:

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: The Smith family was one of the first to come to the U.S. They had 9 children. Assuming that the…

A: Given data,  total number of children n = 9. Let X be event that the smith family had girl child.…

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 10. Find the…

A: Let X be the number of mice. The average number of field mice per acre is estimated to be 10.

Q: The probability of event B occurring is 7/20. What is the probability that event B does not occur?

A:

Q: The table below describes a sample of males and females who like and dislike pizza. Give answers to…

A: a) The contingency table is given as follows: Gender Likes pizza Dislike pizza Total…

Q: Suppose 90% of kids who visit a doctor have a fever, and 25% of kids with a fever have sore throats.…

A: Let, A is the event that kids have a fever. B is the event that kids have sore throats. From the…

Q: The mean of childhood asthma prevalence in 43 cities is 2.32%. A random sample of 32 of these cities…

A: Given : mean = μ = 2.32% S.D = σ =1.30% Sample size = n = 32 PX¯>2.8 =1-PX¯≤2.8 PX¯ >2.8…

Q: The Wilson family was one of the first to come to the U.S. They had 6 children. Assuming that the…

A: Let "X" be the girl child in the Wilson Family. I will use the excel formula "=BINOM.DIST(x, n, p,…

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.