If the probability that an individual will suffer a bad reaction to a given vaccine is 0.13. Determine the probability that out of 4 individuals, none will suffer a bad reaction. (The answer should be a number rounded to five decimal places, don't use symbols such as %

Q: A quick quiz consists of a multiple-choice question with 5 possible answers followed by a true/false…

A: Given dataMultiple choice questions with 5 possible answers followed by a true and false5 possible…

Q: Out of all families with 4 children, you select one family at random.  What are the chances that the…

A: Given,A family has 4 childernso, total possible out comes are 16 (24=16)

Q: In the past, it had a probability of 0.68 success in any attempt to make a call on the telephone.…

A: Let X be the random variable from binomial distribution with probability of success (p)=0.68 and…

Q: When rolling a number cube 800 times what is the probability that a 2 or 5 would be rolled

A: Total Number of faces = 6 P(2) =1/6 P(5)= 1/6 Now, Probability of 2 or 5 is: P(2∪5)=P(2)+P(5)-P(2∩5)…

Q: A student takes a 20-question multiple-choice test with 4 choices for each question. If the student…

A: The sample size n is 20.

Q: A history class is comprised of 8 female and 7 male students. If the instructor of the class…

A: Given that Female students =8 Male students=7 Randomly selected students= 8

Q: Show formula please and how to do it on a TI-84 calculator. Thank you.    Giving a test to a group…

A: Given A test to a group of students, the grades and gender    A B C Total male  3 18 7 28…

Q: Suppose you roll a red die where each face represents a number from 1 to 6. Determine the…

A: When a die is rolled n(S)=6 S={1,2,3,4,5,6}

Q: A student takes a 20-question multiple-choice test with 4 choices for each question. If the student…

A: The sample size n is 20.

Q: find the probability of left of z = 2.3456

A: z-score: The area under the Normal distribution curve represents the probability and the total area…

Q: The Gallup Poll reported that  52%  of Americans used a seat belt the last time they got into a…

A: Let X be number of people used a seat belt the last time they got into a car from binomial…

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: In a very delicate operation, the only chance of survival is 80 percent. Find the probability that…

A: 90% of 10 patients is X= 90*10/100 = 9 X= 9  We've to find the probability that exactly 9 patients…

Q: In a recent semester at a local university, 600 students enrolled in both statistics I and…

A: In a recent semester at a local university, 600 students enrolled in both statistics I and…

Q: The probability that it will rain in a city is 0.1. Find the probability that it will rain on two…

A: Given that the probability that it will rain in a city is 0.1. Two consecutive days are independent…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: We are interested in analyzing data related to college football. Use S to denote the team is in the…

A: Given information- We have given that the probability of team is in the S = 5.5% So, the probability…

Q: The probability that a person living in Manila owns an air-conditioner is 0.04. find the probability…

A: The probability distribution for the nth success on the xth trail is,Where  n is the number of…

Q: cords show that the average number of defects per bolt of cloth is 10.4. Find the probability of at…

A: Let X be the random variable from Poisson distribution with average (λ) = 10.4 Then,  P(X≥4) = ?

Q: The probability that it will rain in a city is 0.1. Find the probability that it will rain on a…

A: Given data: The probability that it will rain in a city is P(R)=0.1. The expression for the…

Q: If the probability of winning a race is 3/8 what are the odds in favor of wining the race. Answer in…

A: From the provided information, The probability of winning a race (p) = 3/8

Q: Answers must be in 4 decimals The probability that a husband watches Grace Anatomy is 0.40 and the…

A: P(a husband watches grace anatomy)=0.40 P(the wife watches grace anatomy)= 0.50 P(a husband watches…

Q: An urn contains three blue balls and five green balls. Another urn contains four blue balls and five…

A:

Q: A geneticist conducts an experiment with beans, one sample of offspring consisted of 476 green beans…

A: Solution-: Given: Number of green beans =476            Number of yellow beans =165 We want to find…

Q: A jar contains 3 red, 2 white, and 5 blue marbles. What is the probability of selecting two marbles…

A:

Q: Can the value 2 be a probability?

A: Valid conditions for probability: The probability is non-negative. That is, the probability is…

Q: A machine has 28 identical components which function independently. The probability that a component…

A: From the provided information, Sample size (n) = 28 The probability that a component will fail is…

Q: lease give solution in correct and step by step detailed format thanku Don't give solution in image…

A: On average a restaurant serves the same number of Chocolate Glazed Truffle deserts every week.The…

Q: The mean life of a person who has had a heart transplant is about 12 years. Find the probability…

A: Answer: From the given data, Mean life of a person who has had a heart transplant is = λ = 12 years…

Q: A quick quiz consists of a true/false question followed by a multiple-choice question with 6…

A:

Q: A bag contains 20 white marbles, 6 red marbles, 11 blue marbles, and 8 yellow marbles. If a marble…

A: White marbles = 20 Red marbles = 6 Blue marbles = 11 Yellow marbles = 8 Total marbles = 20 + 6 +11 +…

Q: In a class, the probability that a student owns a laptop is 0.2. Find the probability that the 5th…

A: We will consider the case of having a laptop as a success.  Probability of success=  0.2 (given) So…

Q: Julia has eaten 12 doughnuts over the past few months. Of those doughnuts, 2 were maple doughnuts.…

A:

Q: After seven days, what is the probability that Jorge has won at least one prize

A: Let p be ghe probability of winning a prize. Given that p = 0.4 Let X denote the number of prizes…

Q: In a department store there are 193 customers, 73 of whome will buy at least one item. If 4…

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.