What is the probability that the defect is in the brakes or in the fuel system if the percentage of simultaneous defects in both systems is 7.96?

Q: Suppose the probability of an IRS audit is 2.0 percent for u.s taxpayers who file form 1040and who…

A: Given information- The probability of an IRS audit is 2.0 percent for U.S taxpayers. So, Number of…

Q: The auto parts department of an automotive dealership sends out a mean of 3.6 special orders daily.…

A: Consider X be random variable which follows Poisson distribution indicating the number of special…

Q: Suppose a large shipment of stereos contained 11% defectives. If a sample of size 311 is selected,…

A: Solution: From the given information, p=0.11 and n=311.

Q: A study is to be made to estimate the proportion of residents of a certain city and its suburbs who…

A: Margin of error=E=0.0895% confidence.

Q: If you are interested in the probability of two successes out of five trials, what is the correct…

A: Given  Let p be the probability p=0.30,  n=5. X~Bin(n=5,p=0.30) P(X=2)=?

Q: 2. An Italian web site claims that 80% of all downloads consist of books by foreign authors.…

A:

Q: An automaker is concerned about the possible recall of its best-selling four-door sedan. If there is…

A: Introduction: Denote A as the event that there is a defect in the brake system, and B as the event…

Q: It is estimated that 0.52 percent of the callers to the Customer Service department of Dell Inc.…

A:

Q: The problem claims that 67% of the rural population has access to the power grid. If a sample of 10…

A: To find the probability that 8 can actually connect to the power grid of rural families.

Q: Based on historical data, your manager believes that 37% of the company's orders come from…

A:

Q: A recent survey found that 63% of college students attend more than one institution during their…

A: Since you have posted a question with multiple sub-parts, we will solve first 3 sub-parts for you.…

Q: A courier service company wishes to estimate the proportion of people in various states that will…

A: number of samples, n = 330 true proportion, p = 0.05 Let, p^ be the sample proportion.  Hence p^…

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a…

A: Solution: Let X be the average monthly grocery bill for an individual is normally distributed with…

Q: 3. A construction crew is building a new bridge. A structural component has a 15% chance of failing…

A:

Q: An insurance company says there is a 77% likelihood that you will be responsible for a car accident…

A: p = 0.77 n = 320 million  ==============================

Q: Suppose the prevalence of alcoholism among college students is 20% among those living in group…

A: It is given that the prevalence of alcoholism(A) among college students is 20% among those living in…

Q: On a five-day vacation, the forecast is a 55% chance of rain every day. What’s the probability that…

A: Let p denote the probability of rain every day = 0.55 Let n be days in an vacation = 5 Let the R.V X…

Q: The prevalence of osteoarthritis in the elderly among high-risk populations is approximately 6.3%.…

A: The objective of this question is to find the probability of identifying 20 or fewer cases of…

Q: Based on historical data, your manager believes that 34% of the company's orders come from…

A: Given that  p=0.34(34%) n=78

Q: A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria for…

A: Here, n = 15 and p = 0.30.

Q: A recent study showed that 71% of adults need some type of corrective lens (glasses or contacts).…

A:

Q: Assume that hybridization experiments are conducted with peas having the property that for…

A: As per our guidelines we are suppose to answer only one question. Given,n=10p=0.75A random variable…

Q: In a certain year, 27.6% of all light vehicles were light trucks, 27.6% were SUVs, and 44.8% were…

A: The probability that the victim of a deadly side-impact accident was driving an SUV is obtained…

Q: 1. A patient newly diagnosed with a serious ailment is told he has a 60% probability of surviving 5…

A: In the medical field, patients often receive information that may be difficult to comprehend,…

Q: It is known that 70% of adult workers have a high school diploma.  If a random sample of 25 adult…

A: Here 70% of adult workers have high school diploma. From them a random sample of 25 adult workers is…

Q: A recent study of cardiovascular risk factors reported that 30% of adults met criteria for…

A: Let X be the number of adults that meet the criteria for hypertension. Therefore, The probability…

Q: Every day at lunch, the Subway sandwich shop will use between zero and three gallons of guacamole.…

A: The amount of guacamole is equally likely means there is uniform distribution from 0 to 3 gallon,…

Q: automotive dealership sends out a mean of 7.9 special orders daily. What is the probability that,…

A: Given that  X ~ Poisson (λ = 7.9) X = The auto parts department of an automotive dealership sends…

Q: A fuel company conducts a geologic survey, that has a 20% chance of striking an oil reserve. What is…

A: Geometric distribution: The probability mass function of Geometric distribution is P(n) = p(1 - p)n…

Q: Suppose a large consignment of cell phones contained 11% defectives. If a sample of size 271 is…

A:

Q: Supposed that Stephen is the quality control supervisor for a food distribution company.  A shipment…

A: We have given that  Success of probability p =13%=0.13 Number of trials n=10 X~binomial ( n ,p)

Q: The lifetime T (this year) for a particular type of electric toothbrush is assumed to have the…

A: Given information, ft=13-t18, 0≤t≤6 Consider, Et=∫06tftdt       =∫06t*13-t18dt…

Q: 1. Some article studied the probability of death due to burn injuries. The identified risk factors…

A:

Q: In a certain year, 28.9% of all light vehicles were light trucks, 28.9% were SUVS, and 42.2% were…

A: Let us denote L=light truck , S=SUV, C=car, D=side impact crash will prove deadly to a driverGiven…

Q: A telemarketing firm conducts surveys with a 40% historical response rate. What is the probability…

A:

Q: A hotel manager believes that 10% of the hotel rooms are booked. If the manager is accurate, what is…

A: Given that 10% of the hotel rooms are booked. That is p=0.10 And there are sample of 454 rooms. That…

Q: Suppose the probability of an IRs audit is 4.2 percent for U.S taxpayers who file form 1040 and who…

A:

Q: In a customer service center, there are 18 complaints dropped per minute. What is the probability…

A:

Q: Suppose a large consignment of televisions contained 22% defectives. If a sample of size 480 is…

A:

Q: 79. Market research. From a survey involving 1,000 university students, a market research company…

A:

Q: If the prevalence of a certain condition in the population is 0.4. What is the probability that…

A: Answer: Given that: p= 0.4 , n= 10 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: A construction company wants to understand how important safety helmets are on their worksite. They…

A: Define the events, A : The worker wear safety helmet B : The worker report head injuries Now, 73% of…

Q: It is known that 19% of people ride public transport without paying for it. We talk to 82 people who…

A:

Q: Based on historical data, your manager believes that 33% of the company's orders come from…

A: Given that, p=33%=0.33 n=106

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.