a) It is known from past records that 10% of passengers arriving at Islamabad International Airport are not properly vaccinated against yellow fever. 8 passengers are randomly selected to check whether are vaccinated. What is the probability that 2 are not vaccinated?

Q: What is the probability that a random variable will have values of three or less?

A: Given that  Probability mass function  X 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.06 0.14 0.16 0.14 0.12…

Q: Find the probability of getting 2 to 5 diamonds using normal distribution.

A:

Q: Q1/100 college students were surveyed and asked how many hours a week the spent studying the results…

A: Given that                   We have to find the probability that a student spent between 5 and 10…

Q: What is the probability of getting at least 7 heads when 20 coins are tossed?

A: Given that, 20 coins are tossed.

Q: 2. In a factory that produces pieces of ready-made concrete, if the percentage of producing…

A: Given,n=5p=0.6q=1-p=1-0.6=0.4X=no.of defective piecesX~Binomial (n=5 , p=0.6)P(X=x)=nx px qn-x    ;…

Q: The average number of people who die in a month from a rare disease in a city is 4. What is the…

A: The average number of people who die in a month from a rare disease in a city is 4.

Q: There's a rare disease that occurs in 1% of the population. There's a test that yields positive…

A: From the given information, Consider, D be the event that shows the population having rare disease.…

Q: In a study of blood donors, 125 were classified as group O and 195 had a classification other than…

A: The objective of this question is to find the probability that a blood donor will have group O…

Q: Identify whether the given hypothesis is null or alternative. If it is an alternative hypothesis,…

A: The training group scores will not be different from the control group scores

Q: An insurance company needs to develop a new bankruptcy policy in a new city. It was observed an…

A:

Q: What is the probability that a randomly selected score exceeds 1170?

A: Let X be the SAT score ( for verbal and math).It is given that X has normal distribution with mean…

Q: It is reported that 77.71% of working women use computers at work. Choose 11 working women at…

A: The random variable X follows binomial distribution. We have to find the probability that all 11 use…

Q: 10 years ago, high levels of lead in blood put 83% of children at risk. Now only 8% of children are…

A: Introduction: Denote p as the true population proportion of children who were at risk 10 years ago,…

Q: A survey showed that 82% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their…

A: 82% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. 19 adults…

Q: probability of drawing a heart card from a standard deck of playing cards?

A: there are 4 suits of cards, each suit have 13 cards

Q: A die was rolled 16 times, what is the probability of rolling a number greater than 4 seven times.

A: Given that  n=16 , p=2/6=1/3  X~Binomial(n=16,p=1/3) X=Number of time the number greater than 4…

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

A: Solution: According to the labor statistician's claim, 6% of the labor forces will be laid off…

Q: In a study done in my chicken coop, 82% of my birds enjoy eating earwimgs. Chose 7 at random. FIND…

A: The provided information are: Probability of success (p)  = 82% = 0.82 Number of birds chosen (n) =…

Q: manufacturer of aspirin claims that the proportion of headache sufferers who get relief with their…

A: Given data,Probability of success is p=63.8%=0.638If n=430P(X<58.4%)=?

Q: What is the probability that, in a simple random sample of 500 in the US, fewer than 30 have blood…

A:

Q: Let's say that 82% of people have Type O blood.  If 3 randomly selected people donate blood, what is…

A: Givenp=0.82n=3x~Binomial(n=3,p=0.82)P(X=x)=(nx)×px×(1-p)n-x  ; x=0,1,...,n

Q: In 2021, 500 teachers in GCPS were surveyed. 230 teachers surveyed were Science teachers, 200…

A: Given: N=500 N(S)= 230 N(M)=200  Half of the teachers teaching Math also teach a science subject.…

Q: The risk of a hematoma among alcoholics without cirrhosis of the liver is 24%. Suppose we observe 7…

A:

Q: If the chance of suffering from occupatinal hazards is 25%, what is the probability that out of…

A:

Q: A study shows that 46% of teachers have gone through a lot of stress since April, due to the…

A: We have to find out given probabiity..

Q: According to a safety engineer, barely 40% of all workers wear safety helmets when eating lunch at…

A:

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Givenproportion(p)=0.634sample size(n)=430Mean(μp^)=p=0.634standard…

Q: It has been recorded that 40% of stores in a region successfully reach the annual sales record.…

A:

Q: Breast cancer occurs in 2% of all American women. Mammograms used to detect breast cancer typically…

A:

Q: If 15% of adults in a certain country work from home, what is the probability that no more than 60…

A: From the provided information, 15% of adults in a certain country work from home that is p = 0.15…

Q: In a family of five children, what is the chance that there are

A: Given information: The family of five children. P(boy)=P(girl)=1/2.

Q: A mortgage advisor sells on average 3.5 mortgages every two weeks. i. What is the probability that…

A: (i) Obtain the probability that they sell 5 mortgages in a two week period. The probability that…

Q: In a poll conducted by the General Social Survey, 70% of respondents said that their jobs were…

A: From the provided information,70% of respondents said that their jobs were sometimes or always…

Q: The top management of Party A is currently conducting a study on chances of winning the upcoming…

A:

Q: According to a survey conducted by Tourism Malaysia, 70% of Malaysian companies give employees 25 to…

A:

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A: Given,n=50p=0.10q=1-0.10=0.9A random variable X~Binomial(n=50  ,  p=0.10)P(X=x)=Cx50 0.1x0.950-x…

Q: The probability that a randomly selected male aged 90 years old will survive the year is 95.195%…

A: The probability that a randomly selected male aged 90 years old will survive the year is 0.95195.

Q: A survey showed that 7575​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for…

A: AnswerThe sample size (n) = 22P = 75%   = 75/100    = 0.75

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.