(a) One prominent physician claims that 70% of those with lung cancer are chain smokers. If his assertion is correct, find the probability that out of 12 such patients recently admitted to a hospital, fewer than half are chain smokers?

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

A:

Q: A researcher wants to test the claim of an online article that 78% of Americans eat healthy each…

A:

Q: Explain in your own words the relationship between the Gamma, Exponential and Chi- Square…

A: Gamma Distribution: Let X be a random variable which follows a gamma distribution. Let the shape…

Q: It is known that the average number of jeepney that passes through the designated waiting area is…

A:

Q: Example: If 25 percent of all patients with high blood pressure have bad side effects from a certain…

A: The probability that a patient with hypertension may have negative side effects from a particular…

Q: Based on historical data, your manager believes that 44% of the company's orders come from…

A: Obtain the probability that the sample proportion is between 0.22 and 0.33.   The probability that…

Q: Based on historical data, your manager believes that 32% of the company's orders come from…

A: Given p=0.32n=89 Let the sample proportion be denoted by p^

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

A:

Q: According to the information that comes with a certain prescription drug, when taking this drug,…

A: Here the given information is According to the information that comes with a certain prescription…

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

A:

Q: If n=6 and mean= .40 , what is the probability that X>1?

A: Given,n=6 , mean=0.40A random variable X~Binomial(n, p)

Q: According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random…

A: According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random…

Q: Use the following information about Wal-Mart stock. 52 weeks VOL NET HI 52.05 LO STOCK 41.69 WMT DIV…

A: First, we need to calculate the cost of the shares without the broker's commission. This can be done…

Q: Based on historical data, your manager believes that 29% of the company's orders come from…

A: The question is about sampling dist. of sample prop.Given :Popl. prop. of company's order come from…

Q: Based on historical data, your manager believes that 26% of the company's orders come from…

A: Given information Population proportion = 0.26 Sample size = 175 Probability that the sample…

Q: Ecording tó thẻ Nèw York Times, eleven percent of parents helped their college ildren write an…

A: Given data,p=11%=0.11n=7P(X≤2)=?

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

A:

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 33% of the company's orders come from…

A: Given: n= Sample size =52p= Probability of population proportion of orders from first time…

Q: A particular blood pressure medication is stated to have a 17% chance of producing a certain side…

A: p=17%, n=25

Q: During a Formula 1 test. 25% of the cars that participated in the test experienced a tire blowout.…

A: Correct answer is  (C) 0.1484

Q: Historical data indicates that Rickenbacker Airlines receives an average of 2 complaints per day.…

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Q: One prominent physician claims that 70% of those with lung cancer are chain smokers. If his…

A: Given: Probability that patients with lung cancer are chain smokers, =0.70

Q: Suppose that 80% of drivers are "careful" and 20% are "reckless." Suppose further that a careful…

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Q: Suppose a large consignment of televisions contained 11% defectives. If a sample of size 237 is…

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Q: A recent study by Allstate Insurance Co. finds that 78% of teenagers have used cell phones while…

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Q: Approximately 16% of people are left-handed. If two people are selected at random, what is the…

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Q: (a) What is the probability that an adult visited a therapist during the past year, given that he or…

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Q: If the probability of contracting a certain illness is 0.0433, would it be considered statistically…

A: Let p be the probability of contacting a certain illness  Given  p=0.0433

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: High blood pressure has been identified as a risk factor for heart attacks and strokes. The National…

A: Given data: p = 0.3 n = 38

Q: According to Harper's Index, 50% of all federal inmates are serving time for drug dealing. A random…

A: Let X be the random variable from binomial distribution with probability (p) = 50% = 0.50 and sample…

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

A:

Q: Based on historical data, your manager believes that 40% of the company's orders come from…

A:

Q: It is estimated that 0.45 percent of the callers to the Customer Service department of Dell…

A: P=0.45%n=1000

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

A: It is known that, the mean of the sampling distribution of sampling distribution, p-hat is equal to…

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

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Q: It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also…

A: sample n=136x=85

Q: Suppose that the researcher in Question 1 wants the difference between the sample mean and the…

A: Given  That difference between sample mean and population mean is less than 0.4 Probability=0.95 We…

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.