(a) What is the probability that you draw one of the managers? (b) What is the probability that you draw a woman or someone from sales? (c) A woman's name was drawn. What is the probability that she is in sales?

Q: If A and B are mutually exclusive, and if P(A) = 0.4 and P(B) = 0.2, what is P(AUB)? P(AUB)= ***

A: GivenA and B are mutually exclusiveP(A)=0.4P(B)=0.2

Q: 12 D 25 14 16 26. 8 B E A Q Find the length of the shortest path from vertex A to vertex B.

A: Here from the given graph we find the shortest path from vertex A to vertex B.

Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: A box contains 17 lightbulbs, of which 6 are rated 13-watt, 5 are rated 18-watt, and 6 are rated…

A: Given: There are 17 lightbulbs in total. 6 bulbs are rated 13-watt 5 bulbs are rated 18-watt 6 bulbs…

Q: A bag contains n cards, each having one of the numbers (1, 2, 3,..., n) written on it. If all…

A: Given that Numbers {1,2,3,4,5,....n}    If all numbers are used, the probability of drawing a card…

Q: When Susan and Jessica play a card game, Susan wins 60% of the time. If they play 9 games, what is…

A: Given,  Susan wins 60% of the time i.e; the probability of Susan winning a game is 0.60   So, the…

Q: If one student is chosen from the school, what is the probability that the chosen student is a…

A: Given sophomore students are = 469 Total number of students = 2000

Q: The A event is defined on a sample space S. Which of the following is NOT true? O a. A'nA=0 O b.…

A: Given that  A be the event is defined on a sample space S Let A=(1,2,3) , S=(1,2,3,4,5,6)

Q: Four people, A, B, C and D, are equally qualified runners. They run a 500-meter sprint, and the…

A: Given, Four people who are equally qualified runners.we need to find the probability that A comes…

Q: Question no. 42 Suppose that [1/4 1/2 1/4 P= a 0 1-a

A: The states are {0,1,2} P=0.250.50.25α01-αβ01-β Pijn=P(Xn=j|X0=i)piin = prob of return to i in n…

Q: Kilie is an avid collector of action figures based on superhero movies. She has been tracking the…

A: Given datakilie is an avid collector of action figures based on superhero movies

Q: Suppose a call center recieves 100 calls per hour. Using poisson process what is the probability…

A: Given  Average calls per hour=100 We need to find the probability that we recieve 10,25 and 35 calls…

Q: Consider the given discrete probability distribution. Find the probability that x=5. 2 5 6 9 P(x)…

A: We know that the The Sum of the total probability should be 1. Thus, =P(X=2) + P(X=5) + P(X=6) +…

Q: Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability…

A: Given:12 books on a shelf in random order.3 are by the same auther.Find:P( books will be next to…

Q: The following are the number of cars sold per day at ABC Motor corporation during the past 495…

A: Given data: Number of cars sold per day (x) Frequency of outcomes  0 30 1 100 2 142 3 71…

Q: a) Show that the following function is a valid probability mass function of the random variable X.…

A: For each probability mass function, There are two conditions to satisfy 1 :   f(x) >=0 for all S…

Q: According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an…

A:

Q: 1. A gaming company claimed that their role-playing games take over 65 hours to complete. A sample…

A: Null hypothesis H0:mu=65 Alternate hypothesis H1:mu>65 Calculating test statistics…

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given Twelve teachers are to be assigned to three schools

Q: or equal to 5 is 1 3 How many cards are in the bag?

A:

Q: a. Calculate the probability that X1 is less than 0.5 and that X2 is between 0.4 and 0.7. b. Show…

A: f(x1,x2)=2(1-x1)   0≤x1,x2≤1   P(0<x1<0.5,0.4<x2<0.7) =∫x1=00.5∫x2=0.40.72(1-x1) dx1…

Q: Suppose that X is a random variable with the probability density function given by (2(1-x), 0≤x≤1…

A:

Q: The owner of a small convenience store is trying to decide whether to discontinue selling magazines.…

A: From the provided information, 5% of the customers buy magazines and thinks that he might be able to…

Q: The random variable X, representing the number of cherries in a cherry puff, has the probability…

A: The random X denotes the number of cherries in a cherry puff.

Q: In one town, the number of burglaries in a week has a mean 28. Let X denote the number of burglaries…

A: It is given that  The number of burglaries follows Poisson distribution with mean 28.

Q: Find P(t<1.067) when v =21 OA. 0.10 OB. 0.05 OC. 0.15 D. 0.015

A:

Q: According to a genetics theory, a certain cross of guinea pigs will result in red, black, and white…

A: Obtain the probability that among 7 offspring 4 will be red, 1 black and 2 white. The probability…

Q: A tree diagram can only have first-generation branches and second-generation branches.

A: here use basic of Tree diagram  tree  diagram have component like node , branch , probability of…

Q: The sample space of a random experiment is the set of positive real numbers, S={x | x>0}. Define…

A: Given data Sample space S = {x|x&gt;0} Event A ={x|x&gt;40} Event B = {x|x&lt;65}

Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: f(x,y)     y=1   y=2     y=3    Total       x=1   0.10  0.05    0.02   0.17…

Q: Identical ICs are tested for transistor failure, and it is found that the average failure is 3.4…

A:

Q: Continuou (x, y) = e

A: Given as, (x,y)=e-x     0≤y≤x≤∞

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Given  Total number of slots =54 Player bet $4 on $10 denomination

Q: Given the probability of change in the stock values on a regular basis. Day (i) Day(i+1) Probability…

A: Hidden Markov chain rule: A Markov chain is used when we are given the random motion of the object.…

Q: A thrifty hospital administrator purchased 2 refurbished back-up generators to power the hospital in…

A: Given,P(1st generator  reliability rate)=0.77P(2nd generator  reliability rate)=0.87and two…

Q: In the game of "Between," two cards are dealt from a standard deck and not replaced. You then pick a…

A: Event is the happening of an favorable situation. Event includes all the possible observation of the…

Q: chloe's bookshelf has 6 books by Smith and 8 books by jones. if she removes 4 books at random, what…

A: Given data: Total books = 6 +8  = 14 She removes 4 books randomly To find: The probability of…

Q: A Certain fund company offers its customers a variety of funds. The percentages of customers in the…

A: a. Given that the percentage of customers' bonds is, the intermediate bond is 18%, the long bond…

Q: Let X and Y be independent random variables and distributed as Uniform distribution on the interval…

A: a.  Please find the attached picture for the solution.    b.  |J| = u Please find the attached…

Q: Compute the following probabilities: (a) Pr(X= $3 Y = t₁) (b) Pr(X= $2) (c) Pr(Y= t1)

A: HERE AS PER GUIDELINES I HAVE CALCULATED  3 SUBPARTS  here given  join distribution of variable t…

Q: A machine randomly generates 1 of  9 numbers, 1...9, with equal likelihood. What is the probability…

A:

Q: What is the minimal number of people needed in a class to ensure that there are two students with…

A: Given information: To ensure that there are two students with the same birthday (the same month and…

Q: A new restaurant has been open for three months and wants feedback from its customers. They plan to…

A: firstly let's understand what is census and sampling methods? CENSUS :  A census is the complete…

Q: The number of calls received by a mountain search and rescue team in a da has a mean of 0.70. Find…

A: It is given that  The number of calls follows Poisson distribution with mean λ = 0.70. The pmf of…

Q: a) Show that for any three events A, B, and C, the probability that at least one of them occurs is…

A: a)

Q: Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: Given data is f(x,y) y 1 2 3 Total x 1 0.10 0.05 0.02 0.17 2 0.10 0.35 0.05 0.50 3 0.03…

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

A:

Q: instead you are told the interest rebate is only $23.40. What happened? Look at the fine print on…

A:

Q: A random variable X has the probability density function given by: x) = {k(1-x) (k(1-x) if-1≤x≤1…

A: Given, f(x)=k(1-x)     -1≤x≤1 ∫-∞∞f(xi)=1

Q: A coffee shops critic finds that a cup of coffee could be rated as too hot, too cold, or perfect.…

A: Total probability=1