(b) In one high school, the athletic director found that 8% of the varsity athletes had concussions while playing at the school and 16% had severe sprains and 3% had experienced both. What is the probability that a randomly seleqted varsity athlete has had either a concussion or a severe sprain?

Q: In a survey of health insurers,  400 baby boomers and 600 pre-boomers were asked: do you believe…

A: Obtain the probability that he or she is a baby boomer, if a respondent chosen at random from those…

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: It was estimated that 30% of all seniors on a campus were seriously concerned about employment…

A: Let us denote: E=seriously concerned about employment prospects G= seriously concerned about grades,…

Q: A biologist finds that 25​% of fruit flies have short wings and 30​% have eye defects. Assuming…

A: Solution:From the given information, the probability that fruit flies have short wings is 0.25…

Q: If the firm stated that 30% would buy if contacted at home. What is the probability of the sales…

A:

Q: A certain group of women has a 0.37 ​% rate of​ red/green color blindness. If a woman is randomly​…

A: The probability of compliment of an event A, is defined as P(A’) = 1 – P(A).

Q: 5 of 8 students are from middle Georgia state college. What is the probability that both of the…

A:

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

A:

Q: Thirty-five percent of the people who own cellphones use their phones to send and receive text…

A: Given,n=3p=0.35Let X=no.of people use their phones for textingX~Binomial(n=3 , p=0.35)P(X=x)=3x…

Q: A sample of automobile dealerships found that 19 % of automobiles sold are silver. If two cars are…

A: Given Information: 0.19% of the automobiles sold are silver. Two cars are selected randomly.

Q: In a particular survey of internet users, 3713 respondents say that they use social networking sites…

A: We want to find the probability

Q: A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and…

A: Obtain the probability that exactly half of them consume caffeine and smoke. The probability that…

Q: In Canada, 63% of households speak English as their primary language, and 23% speak French as their…

A:

Q: In a recent study, 65% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A: Given,n=11p=0.65Let X =no.of people name their favorite flavor of ice cream.X~Binomial(n=11 ,…

Q: Suppose a group of students take an influenza test and 96% of the students test positive. What is…

A: Given that Student tested positive = 96% I.e probability of students tested positive is =0.96

Q: Recent research suggests that 73% of Americans have a home phone, 83% have a cell phone, and 58% of…

A: Given:

Q: In a study of helicopter usage and patient survival, among the 46,693 patients transported by…

A:

Q: C. What is the probability that a randomly selected person from this study tried to quit smoking…

A: Here AS PER GIVEN NOTE I HAVE CALCULATED PART C

Q: In a sample of 50 employees, 32 were females, 22 were smokers, and 15 were males and smokers. If an…

A: Given that  Sample size (n) = 50 Number of females (F)  = 32 Number of males (M) = 50 -32 = 18…

Q: 47 percent of students who made a resolution of passing college with high GPA achieved their…

A: Given that, n =155, p =0.47 The values of mean and standard deviation are,

Q: impact of caffeine consumption. Smoking alcohol consumption and physical activity on cardiovascular…

A: Given that,  40% of participants consume caffeine and smoke. 8 participants are evaluated. Here,…

Q: According to a study published in a reputable science​ magazine, about 8 women in​ 100,000 have…

A: We have given that  P(C)=0.00008 P(test pos|C)=0.89 Find P( test pos and C)

Q: About 10​% of the population of a large country is nervous around strangers. If two people are…

A: The probability that a randomly selected people is nervous around strangers is 0.10. The probability…

Q: In the construction of midrise buildings, a safety engineer claims that only 40% of all workers wear…

A: Solve using Binomial distribution

Q: In a study of helicopter usage and patient​ survival, among the 58,604 patients transported by​…

A:

Q: A study reports that 53% of Americans support increased funding for public schools. If 3 Americans…

A: We have to find out the binomial distribution probabilities.

Q: In a certain science degree program, 25 percent of the students failed their mathematics exam, 15…

A:

Q: According to an article in the February 1991 issue of Reader’s Digest, patients face a 1 in 20…

A: From the provided information, Patients face 1 in 20 chance of acquiring an infection while…

Q: Three percent of a given lot of manufactured parts are defective. What is the probability that in a…

A:

Q: about 7% of the population of a large country is nervous around strangers. If two people are…

A: The probability that both are nervous around strangers is,

Q: A survey of executives revealed that 35 percent sign of them regularly read The Wall Street Journal,…

A:

Q: In a study of helicopter usage and patient​ survival, among the 45 comma 550   patients transported…

A: It is given that the number of patients left the treatment center against medical advice is 235 and…

Q: If a randomly selected company is a large company, what is the probability that it offered stock…

A: d) From the table it is clear that, There are 369 companies. Number of large company offered stock…

Q: A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively,…

A: Given: P(Hisk risk client filed a claim) = 0.04  P(Medium risk client filed a claim) = 0.02…

Q: A quality control engineer inspects a random sample of three batteries from a lot of 30 car…

A: Given,total no.of batteries (N)=30no.of sample batteries(n)=3no.of defective batteries(M)=10X=no.of…

Q: The proportions of blood phenotypes A, B, AB, and O in the population of all Caucasians in the…

A: From the provided information, P (A) = 0.40, P (B) = 0.11, P (AB) = 0.04 and P (O) = 0.45

Q: ) A football match played between Alanyaspor and Başakşehir teams ended 3-3. What is the probability…

A: A football match ended = 3-3 Total number of matches = 6 To find the probability that Alanyaspor…

Q: In a study of helicopter usage and patient survival, among the 40,656 patients transported by…

A: No of patients transported by helicopter = 40656 No of patients left the treatment center against…

Q: The grades of a freshman college class, obtained after the first year of college, were analyzed.…

A: Percentage of students In top quarter is 70%. College class had graduated in the upper 10% of their…

Q: A sample of automobile dealerships found that 19 % of automobiles sold are silver. If two cars are…

A:

Q: A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and…

A:

Q: In a marketing research survey, people are interviewed about product usage. One of the questions is…

A: Given: Probability of brand A, P(A)=14%P(A)=0.14 Probability of brand B, P(B)=9%P(B)=0.09 The…

Q: A car insurance company has determined that 9% of all drivers were involved in a car accident last…

A:

Q: In a survey to determine the opinions of Americans on health insurers, 400 baby boomers and 600…

A: Given information: Total number of baby boomers surveyed, n1=400 Total number of pre-boomers…

Q: In a company that makes sports bikes, 90% of the bikes pass final inspection and 10% fail and need…

A:

Q: Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida…

A: The probability of more than one driver is uninsured can be calculated using Binomial distribution:

Q: Bicycles for hire at the Durban Beach front are deemed beyond repair when one or both its wheels are…

A: A number of events are said to be independent if the probability of occurrence of any one of them is…

Q: In a city of 180,000 people there are 20,000 legal immigrants from Latin America. What is the…

A: Given: The total number of people in a city are N=1,80,000. The number of legal immigrants from…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.