Tay-Sachs couples. Approximately 1 in 28 people of Ashkenazi Jewish descent are Tay-Sachs carriers. Researchers randomly sampled one man and one woman from this population. Hint: the selected man and woman, their results/status are independent.  Question 2. what is the probability neither is a Tay-Sachs carrier? Hint: Pr(man is NOT Try-Sachs carrier AND woman is NOT Try-Sachs carrier)=Pr(man is NOT Try-Sachs carrier) X Pr(woman is NOT Try-Sachs carrier). What is the probability both are carriers?

Q: A study of 420,095 Danish cell phone users resulted in 135 who developed cancer of the brain or…

A: Given 135 out of 420,095 cell phone users developed cancer of brain. The prob. of getting such…

Q: A survey conducted on a randomly selected day for an ice cream truck showed that 68% of customers…

A: The conditional probability is computed as PAB=PA∩BPB

Q: 30 patients had knee surgery, 20 had gastric surgery, and 5 had heart surgery. They were asked…

A: Given Data: n(knee and satisfied)=24 n( satisfied)=24+15+3=42

Q: A Food Marketing Institute found that 51% of households spend more than $125 a week on groceries.…

A:

Q: CHECK YOUR UNDERSTANDING IN In a study of 203 young male/female couples, each partner privately…

A:

Q: The distribution of blood types for 100 Americans is listed in the table. If one donor is selected…

A: Given info: Here, n=100 and number of persons with A+ blood type is , x = 34.

Q: Migraine medication was administered to patients in that 5% experienced weight gain as a side…

A:

Q: n an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the…

A: From the given data p^1=4050=0.8p^2=70100=0.7   Null and Alternate Hypothesis: H0: p^1=p^2 HA:…

Q: The probability that no more than 1 of the 17 adults require eyesight correction is?  is 1 a…

A: The random variable X is number of adults require eyesight correction which follows binomial…

Q: Data compiled by Berks County on the number of convicted shoplifters in 2019 revealed that 62% were…

A: Let M and F be the event represent that number of convicted shoplifter are male amd female with…

Q: 25) The National Cancer Institute (NCI) compiles U.S. epidemiology data for a number of cancers. The…

A: To solve this problem, we can use Bayes' theorem. Let's define the events:A: Woman has breast…

Q: What is the probability that a randomly selected student from the course will fail? If a student…

A: Define the following events:   A: students are light studiers B: students are moderate or heavy…

Q: A drug is effective in nine cases out of ten. If it is tested on 12 patients, what is the…

A:

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 51% of…

A: Given that, 51% of the athletes are football players 20% of the athletes are basketball players 7%…

Q: A study showed that ​69.7% of occupants involved in a fatal car crash wore seat belts. Of those in a…

A:

Q: (b) Find u (in terms of the number of syringes). (Enter a numbe u = 0.600 v syringes What is the…

A: Let p be the probability that a syringe is defective. Given that p= 5% = 0.05 And, let r represents…

Q: The following table shows the number of male and female students in three sections of Math 101 who…

A:

Q: 1. Study of consumer buying habits revealed that 30% of consumers only shop in retail brick and…

A:

Q: In a study of car accident fatalities that involved impaired drivers, it was found that 535 drivers…

A: Solution: From the given information, number of drunk drivers is 535 and the number of drugged…

Q: 3. A recent study concerning knee injuries of football players compared two types of football shoes.…

A: Step 1:  The test here used is a test of difference of population proportions.There are two types of…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 36% of…

A: The probability of the athletes are football players is 0.36, the probability that basketball…

Q: A labor statistician claims that 6% of the labor forces will be laid off likely  to pandemic impact.…

A: Solution: According to a labor statistician's claim, 6% of the labor forces will be paid off. Let p…

Q: 2. According to the BTS Organization, 53% of adult Filipinos are in favor of the death penalty for…

A:

Q: Two six-sided dice were rolled 20 times.Doubleswere rolled 4 times. What is the experimental…

A: In the given case There are a total 20 trials (n) that is 20 times the dice were rolled. The…

Q: Some cyclists ride their bicycles on the wrong side of the road, the opposite direction of car…

A: It was stated that some cyclists ride their bicycles on the wrong side of the road, the opposite…

Q: In a survey of Canadian nurses who worked more than 45 hours per week, it was found that 321 nurses…

A: Given Data n(nurse under 35 age)=321 n( nurse between 35 to 55 age)=403   Total=321+403=724

Q: A study of 3000 people compared the rates of liver cancer between 2000 people who drank one or more…

A: Here we want to test the relationship between coffee drinking and liver cancer.  For finding the…

Q: A recent study concerning knee injuries of football players compared two types of football shoes.…

A: The random variable knee injuries which follows binomial distribution. There are two independent…

Q: Lactose intolerance affects about 20% of non-Hispanic white Americans. If a person is selected from…

A: Solution: 2. From the given information, Lactose intolerance effects about 20% of non-Hispanic white…

Q: An electronics company purchases a particular component from two sources: "Supplier A" and "Supplier…

A: Given that an electronics company purchases a particular component from two sources: "Supplier A"…

Q: A study was conducted to determine whether there were significant differences between college…

A: Given Information: The probability of the graduation rate for a student admitted through the special…

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.