In a certain science degree program, 25 percent of the students failed their mathematics exam, 15 percent of the students failed their physics exam and 10 percent of the student failed both exams. A student is selected at random. If the student failed mathematics, what is the probability that they failed physics?

Q: A sixth grade class has 30 students. 15 of those students play baseball, 18 play basketball, and 10…

A: As per the rules of probability, PA∪B=PA+PB-PA∩B, where PA∪B denotes either A or B or both. PA ∩B…

Q: Northside Middle school has 480 sixth-grade students; 55% are girls and 45% are boys. The school…

A: Define event G as the student is a girl. Define event B as the student is a boy. Define event O as…

Q: Nine percent of the population has blood type B. If we choose 18 people at random, what is the…

A: Given,n=18p=0.09q=1-0.09=0.91Let X= no.of people have blood type B in a sample of 18…

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: 57% of the senior class is female. Of the females, 14% are school athletes. What is the probability…

A: From the given information, the percentage of senior class is female is 57%. P(school athletes|…

Q: A set of coins is flipped. 25% of the coin set has a 20% chance of landing on heads. The other 75%…

A: Given that the set of coins are divided into two types.

Q: 88% of adults are high school graduates.  If a random sample of 10 adults is chosen, find the…

A: p=0.88sample size(n)=10Let "x" no. of adults are graduatesx~Binomial(n=10,p=0.88)P(X=x)=

Q: Fifty-three percent of all people in the US have at least some college education. If 20 people are…

A:

Q: thirteen percent of adults are left handed. in a group of 30 adults, what is the probability of…

A: Let X=the number of lefty n=number of trials= 30 p=probability of success= 13%=0.13 X follows a…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

Q: 64% of all Americans are home owners. If 41 Americans are randomly selected, find the probability…

A:

Q: United States, 40% of the population has brown eyes.  If 14 p

A: Here it is given that- Sample proportion (p) = 40100=0.4 Total number of observations (n) = 14 As n…

Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: of a class are girls. The probability that a girl likes the color blue is 10%. What is the…

A: In probability theory, an event is an outcome or a set of outcomes of a random experiment to which a…

Q: The probability that a house in an urban area will be burglarized is 3%. If 22 houses are randomly…

A: Answer: Given that: p= 0.03 , n= 22 now will use Binomial probability…

Q: The probability that a house in an urban area will be burglarized is 6​%. If 47 houses are randomly​…

A:

Q: Sixteen percent of U.S. residents are in their thirties. Consider a group of seven U.S. residents…

A: Given datan=7p=0.16Binomial theoremProbability of x success out of n trial is given by

Q: The probability a German speaks English is 56%. If five Germans are randomly selected from across…

A: The probability a German speaks English is 56% i.e., Five Germans are randomly selected from across…

Q: suppose that 90% of students take math, 20% of students take chemistry and 15% take both. select a…

A:

Q: In a group of 100 students, 80 study Physics, 90 study Math and 5 study none of the subjects. What…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: 52% of all Americans are home owners. If 48 Americans are randomly selected, find the probability…

A: According to the given information in this question We need to find the following probability of…

Q: 0% of the senior class is female. Of the females, 20% are school athletes. What is the probability…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: In a recent survey, 80% of the citizens in a community favored the building of a post office. If 15…

A: Solution

Q: Ninety percent of the graduates of State University who apply to a particular medical school are…

A: The objective of this question is to find the probability that only four out of six applicants from…

Q: 40% of a class are women. The probability that a woman likes the color blue is 10%. What is the…

A:

Q: The probability that a person in the US has type B positive blood is 10%.  Three unrelated people in…

A: Given that the probability that a person in the US has type B positive blood is 10% = 0.10 So…

Q: In a recent survey, 72% of the community favored building a health center in their neighborhood. If…

A: It is given that n = 14 and p = 0.72.

Q: probability that a house in an urban area will develop a leak is 2%. If 21 houses are randomly…

A: The probability that a house in urban area will develop a leak is 2%, 21 houses are randomly…

Q: About 45% of students participate in a community volunteer program outside of school. If 50 students…

A: p(participate in program out side college) = p=0.45n=50x=No. of students participatep(x=X) = nxC *…

Q: A surgical technique is performed on seven patients. The technique has a 70% chance of success. Find…

A:

Q: 33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 30…

A: Solution-: Given: n=30,p=0.33 We want to find P(exactly 8 of them major in STEM)=?

Q: 31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 44…

A: Given ,  The probability that the college students major in the STEM (Science, Technology,…

Q: At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 28…

A:

Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 34…

A:

Q: In a recent survey, 70% of the community favored building a health center in their neighborhood. If…

A: Let "X" be the community favored by building a health center in their neighborhood.

Q: The probability that a house in an urban area will be burglarized is 5​%. If 85 houses are randomly​…

A: