Seventy percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 60% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. a. If it has an emergency locator, what is the probability that it will not be discovered? b. If it does not have emergency locator, what is the probability that it will be discovered?

Q: An applicant has applied for positions at Company A and Company B. There is a 40% chance of getting…

A: For the event, A as the event of getting an offer from company A, PA=40%=0.40. For the event, B as…

Q: 2. A survey found that 73% of Americans have a home phone, 83% have a cell phone, and 58% of people…

A: Note: As per the Bartelby guidelines only three sub-parts can be answered. Kindly resubmit the…

Q: 33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 45…

A: Note: Hey, since there are multiple subparts are posted, we will answer first three subparts for…

Q: An airline company is considering a new policy of booking as many as 218 persons on an airplane that…

A: Given n=218 P=0.90

Q: Joe Star is a prized baseball free agent. Joe's agent states that there is a 28% chance that his…

A: Note: Hi there! Thank you for posting the question. Please note that, to avoid the plagiarism issue,…

Q: An airline company is considering a new policy of booking as many as 247 persons on an airplane that…

A: Given n=247 p=0.84

Q: 1.Kyle Tucker is a centerfielder for the Houston Astros. This season Kyle as been at-bat 60 times…

A: 1. The total number of trials made by Kyle is represented by the number of at-bats which is equal to…

Q: An airline company is considering a new policy of booking as many as 262 persons on an airplane that…

A: Given n=262 P=0.84

Q: Assume that there is a 7% rate of disk drive failure in a year. a. If all your computer data is…

A: Given, Assume that there is a 7% rate of disk drive failure in a year.a. If all your computer data…

Q: insurance company determines that the probability a person files a claim in the next year is 8%. If…

A: Given data,probability a person files a claim in the next year is 8%p=8%=0.08If n=10what is the…

Q: of the people who fished at Clearwater Park today, 24 had a fishing license, and 16 did not. Of the…

A: Given,Number of people at Clearwater park had a fishing license, n(A) = 24Number of people at…

Q: A recent poll indicates that 48% of all registered voters in America plan to vote for a specific…

A: given data, p=0.48n=12q=1-0.48=0.52p(X=x)=nCx *px*q(n-x) (binomial distribution)x= no. of ragisterd…

Q: According to ctia, 41% of all US households are wireless-only households. In a random of 20…

A: Given, random of 20 households i.e., n=20 p=41%=0.41 q=1-p=1-0.41=0.59

Q: According to the 2020 census, 39.84% of Connecticut adults hold at least a bachelor’s degree. If…

A: In question, Given that According to the 2020 census, 39.84% of Connecticut adults hold at least a…

Q: Golden Years Insurance company estimates the probability that a randomly selected male senior…

A: In here we've the details of senior citizens own supplemental health insurance from Golden Years…

Q: Assume that 15% of the drivers in a certain city do not have a valid driving license. A policeman…

A: The probability that a driver have a valid driving license (p) = 0.85(1-0.15)   Consider a random…

Q: What is the probability that a lost boat has a GPS locator and will not be found by rescue missions?…

A: Let us define se events A : boat is found by rescue missions. B : boat is not found by rescue…

Q: 65% of all students at a college still need to take another math class. If 43 students are randomly…

A: The objective of this question is to find the probability of different scenarios given a binomial…

Q: 80% of U.S. drivers over the age of 30 have had a speeding ticket and 55% of those have also been in…

A: Given,         Pspeeding ticket=0.80         Paccident while behind the wheel=0.55

Q: According to a recent article on the website www.fivethirtyeight.com, 30% of Americans say they’re…

A: According to our guidelines we can answer only one question at a time. Kindly re-post other…

Q: 66% of all students at a college still need to take another math class. If 42 students are randomly…

A: It is given that the probability of a student still need to take another math class is 0.66 and the…

Q: n a survey of college students, 823 said that they have cheated on an exam and 1771 said that they…

A: It is given that The total number of students are= 823 + 1771= 2594Favourable outcomes i.e. students…

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.