A bag contains 8 red marbles and 13 green marbles. We pick twice at random a marble from the bag without replacement. What is the probability p that the outcome is at least one red marbles from the two picks? Round the answer to exactly four decimal places. p=

Q: 6. A particular waiting area, with two seat rows, can hold twelve people, five in the first row and…

A: Given information: Waiting Area with two seat rows, can hold twelve people. First row can hold five…

Q: a) If there are five students, determine the probability that at least two students choose the same…

A:

Q: A corporate bond that pays 4% per annum semi-annually has a yield of 3% p.a. with continuous…

A: Introduction: The unconditional probability of default is an important aspect of credit risk…

Q: Using the diagram below: Find these probabilities: a.x= type your answer... b.y = type your…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A company's Office of Human Resources reports a breakdown of employees by job type and sex, as seen…

A: male female total management 7 6 13 supervisor 8 12 20 production 45 72 117 total 60 90…

Q: 1) (a) Among 47 people at least how many were born in the same month?     (b) Assuming that no one…

A: Hi there! Thanks for posting the question. Since you have posted two different questions, we will…

Q: A population has parameters μ = 248.1 and o = 31.5. You intend to draw a random sample of size n=…

A: Given data μ = 248.1σ = 31.5n = 141

Q: Describe why the following is an Independent event using probability language. In a bag of marbles,…

A: A bag ( 11 red ,13 green , 10 blue , 11 yellow )  Total (N) = 11 + 13 + 10 + 11 = 45 marbles…

Q: How would you find the probability of this equatio

A: Given information: PrA=25..........(1)PrA∪B=35.............(2)PrB|A=14PrA∩BPA=14PrA∩B=14*PA…

Q: You plan to conduct a study on a new diet product that has benefits for both Type I and II diabetics…

A: Option : Double probability sampling   Double probability sampling is characterized as a sampling…

Q: A store sells four brands of VCRS. During the past year the following number of sales of each of the…

A: The table shows the number of sales of each of the brand.

Q: What holds for PY |X(y|x) and PX|Y (x|y) if the random variables X and Y are independent?

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer 1 question at a…

Q: A card is drawn from a standard deck of 52 cards. Find the probability that this chiard is a heart…

A: Given that Total cards=52 Face cards=12 Hearts cards=13 Face cards and hearts cards=3 Note:…

Q: f(x,y)= 10-x-y 6 0, P(5<Y<7 | X= 2) = 0<x<6, 6<y<8 elsewhere (Simplify your answer.)

A: Given,f(x,y)={10-x-y6; 0&lt;x&lt;6, 6&lt;y&lt;80elsewhere

Q: Each of six randomly selected cola drinkers is given a glass containing cola S and one containing…

A: Answer:- Given , n = 6 Suppose there is actually no tendency among cola drinkers to prefer one cola…

Q: occurs in children is normally distributed with a mean of 10 years and a standard deviation of 1.5…

A: Given that.   X~N( μ , ?)   μ=10    , ?=1.5   Z-score =( x - μ )/?

Q: A stereo store is offering a special price on a complete set of components (receiver, compact disc…

A: Receiver : (3 components) Compact disc player:( 4 components) Speakers : (3 components) Turntable:(4…

Q: Let U = {a,b,c,d,e,f,17,18,19,20,21,22), X= {a,b,c,17,18,19), and Y = {b,d,f, 18,20,22). List the…

A: The given sets are U=a,b,c,d,e,f,17,18,19,20,21,22,X=a,b,c,17,18,19 and Y=b,d,f,18,20,22.

Q: 2.5.4A fair coin is tossed four times, and the random variable X is the number of heads in the first…

A:

Q: 2. Answer the following questions (a) If P(A|B) = 1, must A = B? Draw a Venn diagram to explain your…

A: Given P(A|B)=1

Q: Question 2: What is the relationship between the density function (black line above) and the…

A: The black line represents the density function and red line represents the cumulative density…

Q: Among the students who plan to go to graduate school, what percentage indicated "Other" majors?

A: Given that Go to graduate school=280 Go to graduate school and other majors=126 Total=800

Q: in mutual fund B, the annual return has an expectation standard deviation of $0.03x. Suppose that…

A:

Q: 8. A continuous random variable X has the probability density function given by 0≤x≤2 otherwise If…

A:

Q: 68. a. For what value of c is the quantity Σ(x, - c)² mini- mized? [Hint: Take the derivative with…

A: The sample mean is denoted by the x and population mean is denoted by μ The sample mean is…

Q: Company A will default with probability .01, company B will default with probability .05, and…

A: Given that. The event A is I will  buy a bond of Company A The event B is I will  buy a bond of…

Q: Which events are disjoint? O rolling a 3 on a die and rolling an even number on a die rolling an odd…

A:

Q: 3. You roll a fair six-sided die three times. What is the probability that you roll three different…

A: here six sided die roll three time   so, above is sample space.   here suppose , event A : Roll…

Q: A bag contains 2 red balls worth £3, 2 blue balls worth £2 and 5 green balls worth £0. You pick 1…

A: The expected value is calculated as the sum of the product of the value of each outcome and its…

Q: Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that…

A: given data sample size (n) = 14sample mean ( x¯ ) = 25.7sample standard deviation (s) =17.199.5% ci…

Q: Among 47 people at least how many were born in the same month? (b) assuming that no one is born on…

A: Arranging the objects or numbers in a particular order is referred to as Permutation Selecting the…

Q: 2.2.6A car panel is spray-painted by a machine, and the technicians are particularly interested in…

A: Given information: fx=A0.5-x-0.252, 0.125≤x≤0.5 Here, A=5.507

Q: Five percent of workers in a certain city use public transportation to get work. If you randomly…

A: We have given that  Given thatp = 5% = 0.05n = 250

Q: The probability that Janice smokes is 3/10. The probability that she smokes and develops lung cancer…

A: We have given that,  Probability that Janice smokes = 3/10 and probability that she smokes and…

Q: What are example real life situations that will show the concept of probability distribution, normal…

A: Introduction Probability distributions, normal distributions, and sampling distributions are…

Q: Find the steady state matrix X of the absorbing Markov chain with matrix of transition probabilities…

A: Given ρ=0.400.30.310.60.300.1

Q: 4. Suppose we adopt a fractional age assumption as follows: For every x integer and t = [0, 1], the…

A: Given, for every x integer and t∈0,1, the function 1pxt is a linear function on the interval 0,1.…

Q: The table shows relative frequencies for red-green color blindness in one doctor's practice. M…

A: M M' Totals C 0.047 0.007 0.054 C' 0.549 0.397 0.946 Totals 0.596 0.404 1.000

Q: The probability that a salmon swims successfully through a dam is 0.85. Find the probability that…

A: From the provided information, Probability that a salmon swims successfully through a dam is 0.85.…

Q: (d) Let X be a random variable with PMF Px(x) = and P[X>0|X #0]. (o 1/6 = -1, +1 2/3 x=0 y <1…

A: Given that D) Pmf of X is x -1 0 1 P(X=x) 1/6 2/3 1/3 Note: According to bartelby question…

Q: Company A has probability .07 of defaulting. Company B has probability of .001 of defaulting. Assume…

A: (a)   Obtain the probability that both company A and company B defaults.   The probability that both…

Q: Consider two​ boxes, one containing 1 black and 1 white marble​, the other 2 black and 1 white…

A: There are two boxes. Box 1 contains 1 black and 1 white marble. Box 2 contains 2 black and 1 white…

Q: uppose that you flip a coin 14 times. What is the probability that you achieve at least 5 tails?

A: given data, flip a coin 14 timesn=14p(head)=p=0.50p(tail)=q=1-0.50=0.50x= no. of tails probability…

Q: her archery lessons, Tess has a 90% chance of getting a bull's eye. Unfortunately, there is only a…

A: here given, P(getting bull's eye) = 0.9 P(her instructor watching) = 0.4     we need to find P(her…

Q: answer d,e,f

A: Given information: Given a participant is assigned a randomly chosen number from the set {1, 2,...,…

Q: Proof of Equalities Prove (A BOC) ≤ (ANB) by universal generalization

A:

Q: The probability distribution of the discrete random variable X is given below. 3 QO' 8 f(x) = X Find…

A: Given that Pmf of x is  f(x)=(3x)*(5/8)x*(3/8)3-x, x=0,1,2,3

Q: 2.3-9. A warranty is written on a product worth $10,000 so that the buyer is given $8000 if it fails…

A: Answer:- Given , A warranty is written on a product worth $10,000 so that the buyer is given  $8000…

Q: The letters in the word STATISTICS are printed on identical index cards with one letter per card.…

A: Given: The letters in the word STATISTICS are printed on identical index cards with one letter per…

Q: Let X denote the number of computers sold (X = 0, 1, 2, 3). The probability mass function is p(0) =…

A: Given that the price of each computer is $500 and the selling price is $1000. Then, the profit on…