Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both. If a student is selected at random, what is the probability that the student is in orchestra or band?

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: During his term living abroad, Quinn made a list of famous buildings to visit. Of the 10 buildings…

A:

Q: Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both.…

A: It is given that P( orchestra ) = 3% = 0.03P( band ) = 5% = 0.05P( orchestra and band ) = 1% = 0.01

Q: In a survey in a rural area, it is found that 32% of families from a barrio owns a milking cow and…

A: Given: Family owns a milking cow, P(A)=0.32. Family owns a poultry, P(B)=0.41. Family owns both,…

Q: At Jimmy's, an old fashioned barber shop in downtown Victoria, 80% of all customers get a haircut,…

A: Let A be the event that the customer will get a haircut and B be the event that the customer will…

Q: 13% of US residents are in their 30s. consider a group of 9 US residents selected at random. find…

A: It is given that the 13% of US residents are in their 30s i.e. the prob. that US residents are in…

Q: At Riyadh 5% of all students play football and basketball, 32% of all students play football. What…

A: Let , A=all students play foot ballB=all students play basket ballgiven,P(A∩B)=0.05P(A)=0.32

Q: In a town, 61% of adults have health insurance. What is the probability that 5 adults selected at…

A: The binomial distribution is a discrete probability distribution. It has n independent Bernoulli…

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: It is believed that 20% of music teachers in New York own a car. 16 music teachers from New York are…

A:

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

A: GivenFor male:- No.of smokers = 76No.of non-smokers=114Total no.of male students = 190For…

Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

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

A:

Q: 63% of all students at a college still need to take another math class. If 50 students are randomly…

A: Since it is a multiple part question; only 1st 3 parts are answered.

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: If 14% of active duty soldiers in the U.S. Army are women. Find the probability that none of the…

A: Let X be the number of women soldier in U.S army from binomial distribution with probability (p)=…

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

A:

Q: According to the National Health Statistics Reports, 16% of American women have one child, and 21%…

A: given data ,According to the National Health Statistics , 16% American woment have one childwomen…

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 18 students are…

A: It is given that the number of students in physics class is 50. Among that the physics majors are 18…

Q: A physics class has 50 students. Of​ these, 16 students are physics majors and 12 students are…

A:

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: In a local archery contest, the probability that Samuel will be successful on each shot is 82.5% If…

A: Let X be the random variable from binomial distribution with probability of success (p) = 82.5% =…

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

A:

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: A game show contestant must randomly select a door.One door doubles her money while the other three…

A: The number of doors doubles her money is 1.

Q: During his term living abroad, Quinn made a list of famous buildings to visit. Of the 9 buildings on…

A:

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: A physician said that 42 percent of his patients have allergic reaction to antihistamine. What is…

A:

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

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

A:

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: A survey is conducted about 15% of the people have hearing trouble in Texas.A sample of 111 people…

A: The population proportion is 15%. That is, p=0.15 and sample size is 111. Condition:…

Q: 71% of all Americans are home owners. If 37 Americans are randomly selected, find the probability…

A: The random variable home owners follow binomial distribution. The probability value is 0.71. The…

Q: A jar contains 300 M&Ms. 170 are green and 130 are red. You randomly take 10 M&Ms from the…

A:

Q: Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If…

A: SOLUTION-

Q: Of 1400 students at Brown High School, 800 attended the first school dance of the year. Only 500…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.