(c) Find the marginal distribution of X and Y. (d) What is Cov(X,Y)? (e) Find the probability density function of X conditional on Y = 1.5.

Q: (Hardy-Weinberg.) Suppose that a particular gene occurs as one of two alleles (A and a), where…

A: Objective of this question is that, find the MLE of θ Given information n1 for AA, n2 for Aa, n3 for…

Q: You may need to use the appropriate table (Standard Normal Table) to an Given that Z is a standard…

A: According to the given information in this question We need to find the following probabilities

Q: For a binomial experiment, p = P(success) and q = P(failure) and n = number of trials. P(x) = (x)…

A: Given,n=10  ,  p=0.2  ,  q=0.8P(x)=(nx)px qn-x        ; x=0,1,.....n

Q: (d) What is the probability that a random sample of 108 pregnancies has a mean gestation period of…

A: Given Information: Mean μ=266 Standard deviation σ=16

Q: Let X be the number of scoring chances that result in goals for a football team during n scoring…

A: We have, Let X be the number of goal chances that result in goals for a football team during n goal…

Q: Monthly fuel consumption at a firm is normally distributed with mean 20,000 liters and standard…

A: Given information- Population mean, µ = 20,000 liters Population standard deviation, σ = 2500 liters…

Q: Each of the three urns contains one red ball, one blue ball, and one green ball. If three balls (one…

A: In this problem, we are given three urns, each containing one red ball, one blue ball, and one green…

Q: A local firm recently purchased a stamping machine (newer model) to be used alongside its current…

A: Given,   A local firm recently purchased a stamping machine (newer model) to be used alongside its…

Q: The joint probability density function of the continuous random variables X and Y is = { ₁, 0 Let…

A:

Q: Given the joint distribution X = # of Red 0 2 3 What is P(X 31Y=2)? 0 0 0 3/252 3/252 0 12/252…

A: here use given joint distribution table of x and y  here X variable represented by row and Y…

Q: 41. A pair of dice is thrown. Let Z₁ be the number shown on the first die and Z₂ be the number shown…

A: Pair of dice :  Z1 ( number shown on the first die )  Z1 = { 1,2,3,4,5,6 }  P(for eac outcome) = 1/6…

Q: Assume I observe 3 data points x1, x2, and x3 drawn independently from the same unknown probability.…

A: From given data we have : Prx1|M=0.5,Prx2|M=0.1,Prx3|M=0.2.

Q: (2) Find the value b such that P V₂~x² (9). 4 V₁₂ (VV₂ < b) = 0.9 if V₁ ~ x² (5) and

A:

Q: 3. Alice and Bob play 5 rounds of a game. In each round, they both roll fair 6-sided dice. The…

A: Given, 3. Alice and Bob play 5 rounds of a game. In each round, they both roll fair 6-sided dice.…

Q: In a random sample of 144 observations, the sample proportion is 0.90. Construct a 95% confidence…

A: given data sample size (n) = 144P^ = 0.9095% ci p.

Q: person’s body temperature follows a uniform distribution and can be anywhere in the range of 95 °to…

A:

Q: The general structure of CI : point estimate ± error Suppose we derive 95% CI. 1-a = 0.95 ⇒a= Zą…

A: We have given that Confidence level (c) = 95% = 0.95 α = 0.05 Significance level (α) = 1- 0.95 =…

Q: The distribution laws of random variables X and Y are given: X -1 2 Y 0 1 P 0.6 0.3 P 0.4 0.4 Find…

A: Expected value = sum(x*p(x))  Calculate expected value for x and y E(x) = (-1*0.6 + 1*0.1 + 2*0.3) =…

Q: 2. How do you think we could calculate the exactprobability that some pair out of 5 people has the…

A: The question is asking about how to calculate the probability that at least two people out of five…

Q: x = 7203.191, s = 543.5400, n = After normal probability plot diagnostic, norm = 30.

A: We have given that,  Sample mean (x̄) = 7203.191 , standard deviation (s) = 543.5400 and sample size…

Q: Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts,…

A: Note:- “Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: (P1) P(22) = 1 (P2) If A and B are disjoint subsets of 2, then P(A U B) = P(A) + P(B). (P3) If A₁,…

A:

Q: Marcus rolls 2 number cubes, each numbered from 1 to 6. He rolled an even sum 16 times and an odd…

A: Given that  The Even sum is 16 times The Odd sum is 10 times  The relative frequency is the ratio of…

Q: Only typed answer the average age of a women filing for social security in 2010 was 62.8 years,…

A: Given: mean μ=62.8 standard deviation σ=1.6 To Find P(X&gt;65)

Q: The center of a normal curve is the mean of the distribution. O is the standard deviation. O cannot…

A: Answer  The center of a normal curve is the mean of the distribution. It is a bell-shaped curve.…

Q: How many different ways can the letters of the word HANDS be rearranged to form a five-letter code…

A: Given that :  MANDS  This word has tive alphabets. So we have  5!  Ways to be arrange in different…

Q: Open positions in the highest-paying jobs, the best internships, and the most prestigious graduate…

A: Given:-

Q: Suppose you have purchased a box of pancake mix at the grocery store. Pancake mix sold at the…

A: Let A denote the event that a pancake mix comes from distributor X, B denote the event that a…

Q: To estimate the charge time of furnace, we wish to construct a 95% CI with the precision of 10 min.…

A: Given,   We wish to construct a 95% CI with the precision of 10 min. Almost all times are between…

Q: QUESTION 3 Is the following function a valid joint probability density function? оо Yes No f(x, y) =…

A: Given that

Q: A shipment of 30 inexpensive digital watches, including 9 that are defective, is sent to a…

A: given data, A shipment of 30 inexpensive digital watches, 9- defective21- non defectivea department…

Q: Suppose that the random variables X and Y have a joint probability density functi f(x, y) = c(x +…

A:

Q: 6. If the CDF of a continuous random variable is given by if x 1, and E[X] = 3, find a, b, c.

A: Given the cumulative density function (CDF) of a continuous random variable x is: F(x) = 0…

Q: The National Survey of Drug Use and Health is a large annual cross-sectional survey of drug use in…

A:

Q: A company manufactures refrigerator motors. These engines have an expected lifetime of 19.4 years…

A:

Q: classroom, and you need to form a team of 5 people. How many teams are possible in each case below:…

A: Given that There is 12 male and 9 female in a classroom, and you need to form a team of 5 people.…

Q: At a carnival there is a booth with a dice game. Players pay $5 to roll two dice. If any of the dice…

A: Introduction: It is required to create the probability model for the player’s profit in one game,…

Q: Trent is playing a dice game, using 12-sided dice. 1. Find the number of ways Trent can roll a…

A: This is basic probability question, we will do one by one,

Q: The probability that a spark plug is defective is 35%. Suppose that a person buys 7 spark plugs.…

A:

Q: (b) Deduce the value for k without using calculus.

A: Please find the explanation below.

Q: The manufacturing department ran a quality control test, using 15 randomly selected batteries. In…

A: Given,  n=15 σ=5.79 s unknown

Q: A global study surveyed information security professionals regarding trends and issues affecting…

A: Given Information: 24% of women indicated that their opinions are not valued. 48% of women that feel…

Q: A marketing survey is conducted in which students are to taste two different brands of soft drink.…

A: The sample size is 180 students and students are to taste two different brands of soft drink.

Q: 7-8. Consider a CDO made up of six corporate bonds with par value of $100. Assume that the bonds…

A: Given,  Consider a CDO made up of six corporate bonds with par value of $100. Assume that the bonds…

Q: A local non-profit organization is again hosting their annual casino night fundraiser to raise money…

A: $20 fees :  For $5 ( loss 15 dollar ) [area 50%] For $20 ( no loss , no profit ) [area 25%] For $50…

Q: A random variable X has a p.d.f. f(x) given by S(x) = {^e²) x>0 otherwise ke-3x a. Find the constant…

A: Given,f(x)={ke-3x; x&gt;00; otherwise

Q: Sound City sells the ClearTone-400 satellite car radio. For this radio, historical sales records…

A: x f fx fx2 0 2 0 0 1 28 28 28 2 29 58 116 3 25 75 225 4 9 36 144 5 7 35 175   n = 100…

Q: Consider a random variable X with the below probability mass function f(x) and compute the following…

A: Given  x 1.25 1.5 1.75 2 2.25f(x) 0.2 0.4 0.1 0.2 0.1 compute the following probabilities: (a) P(X ≥…

Q: the times to complete the NYC marathon are normally distributed with a mean of 278 minutes and a…

A: According to the given information in this question We need to find that how we expect will take…

Q: We loss a fair coin 100 times. We also roll a fair die 200 times. Approximate the probability that…

A: