Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.3. Find the probabilities below. (a) P(A|B) (b) P(B|A)
Q: Assume that a procedure yields a binomial distribution with a trial repeated n=20n=20 times. Find…
A: Given that n= 20 , p = 19/60 , x = 11 Using the binomial distribution
Q: 7. Among all the computer chips produced by a certain factory, 6 percent are defective. A sample of…
A:
Q: Let be the random variable X with distribution function given by: Fx (x) = { x³ 1 a) Find the…
A: As per our guidelines I can solve only first three subparts. Kindly post the remaining subparts…
Q: The sales department at a certain company consists of four people, the manufacturing department…
A: Given that
Q: ii) What is the value of the sample size n, if P[1(X₁ - X)² > 68.3392] = 0.025? i=1
A:
Q: Sales representatives at a car dealership were split into two groups. One group used an aggressive…
A: Approach Sale No Sale Total Aggressive 100 250 350 Passive 220 80 300…
Q: a) Let 3, 1, 3, 0, 3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment of…
A: X~Bin(n=4,β) Sample size=10
Q: A large insurance company maintains a central computing system that contains a variety of…
A: Given Information: Number of servers is k=3 Arrival rate for calls λ=33 Service rate for calls μ=22…
Q: Pate: //20 A rondom Variable x takes value X; with Bobab 2 Pi with i=1N labelling all possibilities.…
A:
Q: 1. A certain market has both an express checkout line and a regular checkout line. Let X denote the…
A: As per our guidelines I can solve only first three subparts. Kindly post the remaining subparts…
Q: Suppose that X has a discrete distribution with the following cumulative distribution function 0.35…
A:
Q: A special deck of 20 cards has 5 that are red, 5 yellow, 5 green, and 5 blue. The five cards of each…
A: 5 red, 5 yellow, 5 green, 5 blue. total 20 cards each colour card numbered 1 to 5. P(3 or 5|2…
Q: Find the cumillarve drombuhon hinction (cap) and the probability donorhy function (pop) of the…
A: We have a 12meters rod broken into two parts then we have to find the cdf and pdf
Q: A door-to-door salesman expects to make a sale 22% of the time when starting the day. But making a…
A: Given A door-to-door salesman expects to make a sale 22% of the time when starting the day.
Q: 4.) How many ways are there to seat 6 people in a row?
A: given data we have to find number of ways to arrange 6 peoples in a row.
Q: K A family chosen at random has ten children. In the following questions, assume that each child…
A: We have given that number of children (n) = 10 probability of male or female (p) = 1/2 = 0.5 Here we…
Q: Lifetime of a certain hardware is a continuous random variable with density for 0 < x < 10 elsewhere…
A: 3. Given density function is, fx=k-x50, 0<x<10 a) K:…
Q: Compute the probability of drawing a King from a deck of cards, replacing the card, and then drawing…
A: In a pack of 52 cards,no.of king cards=4no.of queen cards=4
Q: lass. For a 4-period class, students should spend an average of 12 hours studying for the on…
A: given data bell shaped distribution μ = 13 hoursσ = 3 hours99.7% ofstudents have study hours…
Q: A tourist in France wants probability that she will vi
A: We have given a tourist in France wants to visit 7 different cities We have to find the probability…
Q: Find the number of distinguishable permutations of the letters in each word. (a) subsets (b)…
A: GIVEN DATA,we have to find out the number of distinuishable permutation on each lettershere data…
Q: 1. Let S be the set of all Salem State students and define conditions as follows: C₁: A Salem State…
A: The given events are c1: be the a Salem state student likes pizza, c2: be the Salem state student…
Q: Problem 4 Let X₁,...,Xn be independent random variables with values in {1,...,x) and probability…
A: There are 'n' independent random variables X1,...,Xn which takes the values in the interval…
Q: Suppose that the SAT math scores follow the normal curve very well with mean 514 and standard…
A: Let X represents the SAT math score. Then given that, mean, u= 514 and standard deviation is sd=…
Q: At my local bar, it always takes at least two minutes to serve a customer, and it can take much…
A: Given information: ft=64t5, t≥2Ft=1-16t4, t≥2
Q: Compute the probability of drawing two spades from a deck of cards.
A: There are 13 spades in a standard 52 deck of cards.
Q: Consider a collection of envelopes consisting of 1 red envelope, 2 blue envelopes, 2 green…
A: Given,no.of red envelopes=1no.of blue envelopes=2no.of green envelopes=2no.of yellow…
Q: Two cards are selected at random from a standard deck of 52 cards without replacement. Are the…
A: Probability is defined as the ratio of number of favorable outcomes to the total number of possible…
Q: You and your best friend are part of a group of 102 students which are to be divided into 3 classes…
A: Group of 102 students Divided in 3 equal classes ( 102/3 = 34 students in each group) P(both friends…
Q: Olivia is registering for a biology class. Below is a table of teachers and the periods they teach…
A: There are total number of classes N= 10. Bridget prefers either Ms. Scarlet or Mr. Green. The…
Q: Using the data and your graphing calculator answer the questions that follow. This table represents…
A: A) Here, test score is depended on the number of hours studied. The dependent variable is Test score…
Q: Suppose that X is a N(3,4) random variable and suppose that Y=5X+2. Determine P(Y>18.5).
A: Linear combination of Normal random variables is also follows Normal.
Q: In quality control process of 3 items of a company, it has been established that product A…
A: It is given that product A corresponds to 28% of total production, product B corresponds to 35% of…
Q: A xondom Variable x takes value X; with Bobabilty Pi with i=1, N i = 1,..., N labelling all…
A: There are N different values taken by a random variable Xi with respective probability pi. The…
Q: Suppose my utility function for asset position x is given by u(x) = In(x). **Am I risk-averse,…
A:
Q: A football team has two matches to play. The probability that it wins is 60 percent. Probability…
A: P(win) = 60% = 0.6 P(draw) = 20% = 0.2 P(loose) = 1-(0.6+0.2) = 0.2
Q: HUS pep I to InuomA Task 4: A random variable X is uniformly distributed bewteen 2 and 12. What is…
A: Given A random variable X is uniformly distributed between 2 and 12
Q: Suppose that the number of weekly hours spent by gamers playing video games is normally distributed…
A:
Q: a) Let 3, 1, 3, 0, 3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment of…
A: X~Bin(n=4,β) Sample size=10
Q: Which diagram represents the event (BUC)-A? A В A A C B B
A: In question, There are three events A, B & C given and we have given some Venn diagram then…
Q: Show that the mean and variance of the random variable Y are 0 and 1, respectively.
A: It is given that X follows N(θ, 1), then E(X) = θ and V(X) = 1,
Q: A stick of length 8 meters is randomly broken into two parts. Find the cumulative distribution…
A:
Q: A pizza parlor offers a choice of 16 different toppings. How many 5-topping pizzas are possible?…
A: given data,A pizza parlor offers a choice of 16 different toppings. we have to find out the the…
Q: The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget…
A:
Q: Given that a patient survived, what is the probability that the patient was categorized as serious…
A: Let us define some events A : a person is critical. B : a person is serious. C : a person is stable…
Q: A study showed that 67.9% of occupants involved in a tatal car crash wore seat belts. Of those in a…
A: Given: A study showed that 67.9% of occupants involved in a fatal car crash wore seat belts. Of…
Q: Recall that a poker hand consists of 5 cards from a standard deck of 52. In Exercises 15-18, find…
A:
Q: Sales delay is the elapsed time between the manufacture of a product and its sale. According an…
A: Given information: μ=2.06σ2=0.03
Q: If A and B are disjoint events, which of the following is correct? A P(An B) = P(A)P(B) BP(A) = 1-…
A: As per our guidelines I can solve only first three subparts only. Kindly post the remaining subpart…
Q: If P(A) = 0.5 and P(AUB) = 0.8, then P(AUB) = ( )
A: given data p(A)=0.5p(A∪B¯) =0.8we have to find out the p(A∪B)=?
Let A and B be two
(b) P(B|A)
Step by step
Solved in 2 steps with 1 images