One prominent physician claims that 70% of those with lung cancer are chain smokers. If his assertion is correct, (a) find the probability that of 10 such patients recently admitted to a hos- pital, fewer than half are chain smokers; (b) find the probability that of 20 such patients recently admitted to a hos- pital, fewer than half are chain smokers.

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

A: Given that : Let X be the number of patients who are heavy smokers.X~Binomial( 10, 0.70)

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 6 seeds are planted,…

A: X: The healthy growing plant. n = 6 p = 0.95 We have to find that the exactly one plant does not…

Q: The owner claims that 1 in 10 ice cream cones will leak due to improper storage of the cones. What…

A: It is given that 1 in 10 ice cream cones will leak due to improper storage of the cones. Hence, The…

Q: The Denver Post stated that 80% of all new products introduced in grocery stores are taken off the…

A:

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

A: Given information: P(Chain smokers) = 0.70 n = 12 Determine the required probability using the…

Q: According to a study by a road safety interest group, the probability that speeding is a cause of a…

A: We have to find given probability.

Q: On the average, 10 people per hour use an express teller machine situated inside a commercial…

A:

Q: In a Survey, 85% of the people interviewed were unaware that maintaining a healthy weight could…

A: Givenp=0.85n=20Let "x" be the no.of people are unware that maintaining a healthy weightcould reduce…

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

A:

Q: A survey on campus revealed that 77% of the students felt that a new attendance policy was unfair.…

A: Given that the probability that the students felt that a new attendance policy was unfair is = 77%…

Q: A recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If…

A:

Q: The National Association of Realtors estimates that 23% of all homes purchased in 2004 were…

A: Probability of success, p=0.23 and n=800.

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 12 seeds are planted,…

A: Given: Probability of growing healthy plant = 80% = 0.80 The probability of not growing healthy…

Q: A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour,…

A:

Q: If an average of 18 customers are served per hour, what is the probability that the next customer…

A:

Q: According to a study by a road safety interest group, the probability that speeding is a cause of a…

A: Solution: From the given information, the probability that speeding is a cause of a fatal crash is…

Q: In a certain country, 47 percent of the population are on a strict diet. In a sample of 20…

A: Let p be the probability that an individual is on a strict diet. Given that p = 47% = 0.47 Let X…

Q: The southeast regional manager of General Express, a private parcel-delivery firm, is worried about…

A: Given: Let A represents the event of Pilots. Let B represents the event of drivers. The probability…

Q: A new brand of drug-free nasal strip claims to be 90% effective in relieving nasal congestion to…

A: From the given information the probability of success is 0.9

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: If 20 percent of the mice used in an experiment will become very aggressive after having been…

A: 3.  Given Information :  If 40 percent of the mice used in an experiment will become very aggressive…

Q: A nationwide survey of 17,000 college seniors by the University of Michigan revealed that almost 70%…

A:

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 state where cars have to be tested for emission of pollutants, 25% of all cars emit excessive…

A: To find: the probability that a car fails the test.

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Let, P(growing)=60% = 0.60 P( not growing)=1-0.60 = 0.40 n = 11 The probability that exactly 4 don't…

Q: In a recent year, 304 of the approximately 300,000,000 people in the United States were struck by…

A: a. In a recent year, 304 of 300,000,000 people in the United States were struck by lightning.

Q: A recent survey reported that 69% of Americans approve of human embryonic stem cell research. If an…

A: Given : Let A be the event of  Americans approve of human embryonic stem cell research. p ( A ) =…

Q: A recent survey conducted by a reputable company indicates that the proportion of college students…

A: Given that p=0.32 , n=200,p( phat <0.25 ) =?

Q: In a technology company, it is known that the average of network failure is 3 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures per week…

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

A:

Q: If a seed is planted, it has a 70 %chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given data, p=0.70 (grows healthy plant) If n=10 then P(X=1) doesnot grow=?

Q: A large national study finds that 10% of pregnant women deliver prematurely. A local obstetrician is…

A: Given: Probability of women deliver prematurely is, p=10%=0.1. Number of pregnant women is, n=16.…

Q: If a person tests negative, what is the probability that the person is actually free of the disease?

A: Let us define some events A : a person has cooties. B : a person does not have cooties. E : a person…

Q: Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion…

A: Let the R.V X denotes the number of customers order their food to go and it follows the binomial…

Q: Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion…

A: Given probability of customers order the food to go, p=0.48 n=4

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

A:

Q: In a technology company, it is known that the average of network failure is 2 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures = 2

Q: A random sample of 270 homes was taken from a large population of older homes to estimate the…

A: Given: A random sample of 270 homes was taken from a large population of older homes to estimate the…

Q: Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion…

A: It is given that n =5 and p=0.48.

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If eleven seeds are…

A: Answer:Given that:p=0.95 ,   n=11now will use Binomial probability P(X=x)=nx*Px*(1–P)n–x,where…

Q: is the probability that a hurricane does not occur on that day?

A: here given, It has been determined that the probability of a hurricane occurring on a certain day in…

Q: It has been found from experience that there is an average of five faults per 50 metres of cloth…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: If a seed is planted, it has a 65% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given: P( chance a seed grows into a healthy plant) = 0.65 n = 10

Q: What is the probability that a randomly selected passenger survived on the Titanic? What is the…

A:

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 10 seeds are planted,…

A: We have to find given probability.

Q: If a seed is planted, it has a 70% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Obtain the probability that exactly 1 doesn't grow.   The probability that exactly 1 doesn't grow is…

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

A: Consider that p is population proportion of headache sufferers who get relief with just two…

Q: What is the probability that a non-infected person contracts mumps after 10 brief encounters with…

A: Since , P(contracting mumps from an infected person from even a brief encounter)=0.10 Our aim is to…

Q: Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion…

A:

Q: A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of…

A: Let the random variable X be the number of wear glasses. X takes values 0,1,2,.....,10 . p =…

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.