Show P(ABC)=P(A| B^C)P(B| C)P(C).

Q: I know 50% of Chrome add-ons are spam add-ons containing a virus. A tool can detect 99% of spam but…

A: Given; P(B) = 0.5, P(B') = 0.5, P(AlB) = 0.99, P(AlB') = 0.05

Q: 1) Suppose that Y₁, Y2,...,Y₁ is a random sample from a population with probability density function…

A: Liklihood maximization technique.

Q: (1) An airline finds that each passenger who reserves a seat fails to turn up with probability For…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Suppose that a certain tech company sources their chips from three different factories, F1, F2 and…

A:

Q: A study on the sales (Y=no. of units sold) and the price (X, in pesos) showed the following result:…

A: The following information has been provided: Let X=PRICE is an independent variable Y=NO. OF UNITS…

Q: You randomly select one card from a 52-card deck. Find the probability of selecting a red five or a…

A: draw cards from 52 card deck. red 5 or red 6 = ?

Q: It is estimated that 88% of senior citizens suffer from sleep disorders and 8% suffer from anxiety.…

A: Let x denotes the citizens suffer from sleep disorders and y denotes the citizens suffer from…

Q: What is the probability that 5 of the students reported depressive symptoms?

A: Let p be the probability that a student reports depressive symptoms.  Given that p = 0.18 Let X…

Q: Let Z be a standard normal random variable and calculate the following probabilities, drawing…

A: Hello. Since your question has multiple parts, we will solve first 3sub parts question for you. If…

Q: How did you get the 38,37, and 26?

A: No.of red balls = 3 No.of green balls =3 No.of blue balls =2 Total no.of balls = 8 (i.e. 3+3+2)…

Q: A poll reported that 67% of adults were satisfied with the job the major airlines were doing.…

A: Given that n =15 ,p =0.67 ( b ) P( X =8 ) = ?

Q: 3.1 Area under the curve, Part 1: Find the probability of each of the following, if Z-N(p=0,0=1).…

A:

Q: 2. Suppose that X₁, X2, and X3 are mutually independent and identically distributed with moment…

A:

Q: An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult…

A: From given data we have : mean μ=189 Standard deviation σ=36

Q: Chapter 7: Normal Probability Distributions 7.1 Heights of 10-year-olds. Heights of 10-year-old male…

A: X~N(μ, σ) Emperical rule P(μ-σ< x<μ+σ)=68% P(μ< x<μ+σ)=68%/2=34% P(μ-σ< x<μ)=34%…

Q: 3. Consider rolling a fair six-sided die, so that S = {1, 2, 3, 4, 5, 6}. Let X(s) = 5, and Y(s) =…

A: Given that  A fair six-sided die is rolled  S = { 1 , 2 , 3 , 4 , 5 , 6 }

Q: Suppose that 15 athletes are competing in a final at the Olympics. In how many ways can the medals…

A: Given: 15 athletes are competing in a final at the Olympics. The objective is to find the number of…

Q: An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study…

A: The independent variable is noise exposure. The dependent variable is hypertension. We have to do…

Q: What is the equilibrium market share? L0.4 0.3 0.

A:

Q: K In finance, one example of a derivative is a financial asset whose value is determined (derived)…

A: We have given that P(default) = 0.07

Q: (5) A discrete random variable X has the probability mass function f(x) = c(x + 1)², x=-1,0, 1. You…

A:

Q: What proportion of funding will go to all departments other than surgery?

A: From given data we have : Department Proposed share of Grant surgery $1,020,000.00…

Q: XYZ Construction Company has three loaders operating every day in a construction site. During any…

A: Given information: XYZ construction company has three loaders operating every day in a construction…

Q: Question 2: Three students took a test. The professor comes and tells them that only one has passed…

A: Three students took the particular test. The professor comes and tells them only one has passed the…

Q: You are the marketing director for a minor league baseball team, and (not unlike a certain major…

A: Given the estimated regression model for attendance as attend=1000+10000 win%+1500 sun+1200…

Q: Value of X Probability -7 -5 -3 -1 2 4 6 -2~2~2~2~2-2~2 1 12 12 12 12 12 1 12 12 What is the…

A: Given probability distribution of X is; Value of X Probability(P(X)) -7 1/12 -5 2/12 -3…

Q: Recall the expected change in 28-day strength is equal to ₁ = 1.2 times the increase in accelerated…

A: It is given that the slope β1 = 1.2.

Q: I have 10 red and 10 blue cards. I shuffle the cards and then label the cards based on their orders:…

A: Given problem Given that   I have 10 red and 10 blue cards. I shuffle the cards and then label the…

Q: The length of time of calls made to a support helpline follows an exponential distribution with an…

A: Method: Using the probability density function of Exponential distribution to find probability

Q: Arrivals at a fast food restaurant follow a Poisson distribution with a mean arrival rate of 10…

A: Given that  X~Poisson(λ) Mean=λ=10 x!= x(x-1).........1

Q: Write a valid conclusion. This problem was written by Charles Dodgson, better known as Lewis…

A: The answer is attached below.

Q: A survey asked 850 respondents about their highest levels of completed education. The results are…

A:

Q: A random variable follows a binomial distribution with the probability of success for one trial at…

A: The sample size is 18 and probability of success is 0.745.

Q: Determine z for the following of a. (Round your answers to two decimal places.) (a) a = 0.0059 (b)…

A:

Q: It is useful for Fire Departments to have a model for X =number of direct injuries occurring in a…

A: From the provided information, X 0 1 2 3 4 5 6 7 8 9 P (x) 0.08 0.09 0.09 0.14 0.18 0.16 0.09…

Q: (a) In a random sample of 186 children taken more than a decade ago, what is the probability that 50…

A: a) n=186 More than a decade ago, high levels of lead in the blood put 83% of children at risk. Let X…

Q: (C) What is the probability that the student is from out-of-state or is an Arts & Sciences major?…

A: Farmula used P(A| B)=P(A and B)/P(B)

Q: (a) What is the shortest time that an insect can be on a plant and stay as long as at least 50% of…

A:

Q: A hospital emergency room accepts an average of about 47 bone fracture patients per week. Let the…

A: Given,The average no.of bone fracture patients per week is 47 .

Q: (a) A type of lightbulb is labeled as having an average lifetime of 1,000 hours. It's reasonable to…

A: a) i) Assume that the random variable x defines the lifetime of light bulbs.

Q: Consider the following 10 measurements about the cohesion of a soil: 12 kPa, 14 kPa, 15 kPa, 14.5…

A:

Q: K A water taxi carries passengers from harbor to another, Assume that weights of passengers are…

A: We have given that  Mean(µ) = 201Standard deviations (σ) = 39X ~ N (µ, σ )= N(201, 39)

Q: n a car dealership, 55 percent of customers order a Bugatti. Among the customers that buy a Bugatti,…

A: event A : buy bugatti B : pay using cash  P(A) = 0.55   P(A') = 1 - 0.55 = 0.45 P(B|A) = 0.70…

Q: P(B) = 0.4 / 0.6 = 2 / 3 = 0.6667  where did all the numbers in this line come from?

A: It is given that P(A U B) = 0.8, P(Ac) = 0.6

Q: 4. Janice determined there were 10 possible outcomes when tossing two coins and spinning a spinner…

A: There are 2 outcomes if a fair coin is tossed. Either head or tail.  If we toss 2 coins then the…

Q: Consider an experiment of tossing a biased P5 coin three consecutive times where the chances o…

A: Given: Let I denote image and I' no image P(I) = 1.5 P(I') PI=32×P I'PIPI'=32So, PI=32+3=35PI'=25

Q: At a ski resort, each day's weather in the month of December can be treated as independent from each…

A: Utilities binomial pmf to calculate the probability.

Q: The probability mass function of a random variable X is given by 1 2 X f(x)=P(X=x) F(x)=P(X ≤ x) a)…

A: Farmula P(A|B)=P(A and B)/P(B)

Q: Assume that the probability that any child born in the population will be a boy is 0.51 and the…

A: It is given that  P( boy ) = 0.51 P( girl ) = 0.49

Q: Write down the negation of the following statement: Every duck has at least three white feathers.

A: We know that if a sentence is denoted by 'P' then it's negation is denoted by ~P