In a city, 70% of the residents live in houses and 30% of the residents live in apartments. Of the people who live in houses, 30% own their own business. Of the people who live in apartments, 20% own their own business. If a person owns his or her own business, find the probability that the business owner lives in a house.

Q: Suppose that designing phone is a random experiment. A phone model can be developed from two…

A:

Q: A bag of peanuts in their shells contains 178 peanuts. 71 of the shells contain one peanut, 102 of…

A: For the given data Find all the required probabilities

Q: A certain disease has an incidence rate of 0.4%. If the false negative rate is 7% and the false…

A:

Q: Two dice are thrown, find the probability of both dice shows four

A: Two dice are thrown, then sample…

Q: A pair of dice is rolled. What is the probability of getting a.) a sum of 5 or 6? b.) a sum of 7 or…

A: Given: A pair of dice is rolled.

Q: 42. In the New York state lottery game "Lotto," a player wins the grand prize by choosing the same…

A: Given: Total numbers = 59 Same group of numbers = 6

Q: Data consistent with summary values given in a paper are given here. 27 27 23 26 27 25 25 24 24 24…

A: Given, sample size (n) = 24 significance level α = 0.10   sample x    (x-x̄)2 1 27 1.3689 2…

Q: A test was given to a group of students. The grades and gender are summarized below A Male 5 с 9 11…

A:

Q: Oliver rolls a fair six-sided dice and spins a fair three-sided spinner with equal-sized sections…

A: Oliver rolls a fair six sided dice and spin a fair three sided spinner with equal sized sections…

Q: P(D₂) = P(M/D₁)= a. Given that a customer missed one or more monthly payments, compute the posterior…

A: From given data : D1, be the event that a customer holder defaults,  D₂ be the event that a customer…

Q: . Let X and Y be random variables and let AE B. Prove that the function X (w), if we A, Y(w). if w€…

A:

Q: Calculate the mean and standard deviation, and determine the probability that it will take a person…

A: Given:

Q: 1. An ATM Card PIN consists of 6-digits, each a 0, 1, 2, ..., 8, 9 in succession. a. How many…

A: Given that, An ATM pin has six digits.Each digit can be from the following numbers…

Q: 4. A furniture shop sells an average of one unit of dining table per day. a. b. Find the probability…

A: Given,The average no.of dininig tables sell per day is 1.so, the average no.of dining tables sell…

Q: All customers insure at least one car. 80% of the customers insure more than one car. 20% of the…

A: Introduction: Denote M as the event that a randomly selected customer insures more than one car.…

Q: The probability that a trainee will remain with a company is 0.6. The probability  that an employee…

A: Given that The probability that a trainee will remain with a company is 0.6. The probability  that…

Q: 7. A hand of 6 cards is drawn from a standard 52 card deck. (a) What is the probability of getting…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Please show your solution. If a pair of dice is rolled, what is the probability of getting a a.) sum…

A: Givena pair of dice is rolled

Q: Jack has two options next year, Job A and Job B. The earnings in the two jobs differ and are random.…

A:

Q: The function f(x) is the probability density function, that describes the random variable travel…

A: For the given data ( a )P(X<2.5) =? ( b ) P(1<X<2.5) =? (c ) Mean =? Variance =?

Q: In a roll of 2 dice, what is the probability of getting 3 or 4? A. 5/36 B. 6/36 C. 7/36 D. 8/36

A: When we rolled 2 dice. So total no. of possible outcomes will be 62 =36 These are: […

Q: a.) a defective TV set shall be taken on the first draw? b.) A non-detective shall be taken on the…

A:

Q: In paint technology, the sheen is the glossiness of a paint finish. Glossy paints are shiny and…

A: Given information: Carver Auto wants to use paints with over 85% gloss. SprayGo Red #5123 has 85%…

Q: replacement. What is the probability of getting a.) red on the first draw? b.) red on the first and…

A:

Q: (a) 10 df, between -2.23 and 2.23 % (b) 10 df, between -3.17 and 3.17 % (c) 24 df, between -3.47 and…

A: by bartleby policy i can gives only 3 subparts answer at time

Q: 5. Let the random variable Y,, have a distribution that is b(n, p). Prove that (Y/n)(1-Yn/n).…

A: Given that

Q: Moths got into her yarn. Grandmother Jones is left with 6 colors of thick yarn and 8 colors of thin…

A: Number of arrangements can be understand using principle counting method. Two broad methods used to…

Q: Suppose that 40% of the population is infected by COVID-19. A test kit indicates as positive with…

A:

Q: Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time…

A: Ans#- Tommy Wait times between pitches are normally distributed with mean  (μ) = 31 seconds and σ =…

Q: ii) Find an approximate 95% Confidence interval for ß.

A: Firstly it is required to determine the MLE of the parameter and then the variance to get the…

Q: 1. If n is odd, prove that n+1 is even. 2. If a is a multiple of 6 and b is a multiple of 9, prove…

A: 1. Here given that n is odd. Let us consider n is the form of (2k+1) where k∈ℤ. So now n+1 = 2k+2 =…

Q: 3. Dagupan Bank reviewed its credit card policy with the intention of recalling some of its credit…

A: Given Information: 5% of cardholders defaulted The probability of missing a monthly payment is 0.20…

Q: a. Develop a joint probability table for these data with two rows (vloggers vs non-vloggers) and two…

A: It is given that Adults are classified according to their age (young  : 18-29 and older : 29+)and…

Q: The life of an electronic controller is normally distributed, with the parameters µ = 5100h and…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The amount of lateral expansion (mils) was determined for a sample of n = 5 pulsed-power gas metal…

A:

Q: In determining automobile mileage ratings, it was found that the mpg (x) for a certain model is…

A: We have given that Mean(µ) = 31Standard deviations (σ) = 1.8X ~ N (µ, σ )= N(31, 1.8)

Q: (a) How many such chain molecules are there? [Hint: If the three A's were distinguishable from one…

A:

Q: What is the probability that at least two out of n people have some birthday? Assume 365 days in a…

A: According to the classical definition of probability, the probability of an event is the ratio of…

Q: 13. In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the…

A: We need to find the number of ways for the word 'MATHEMATICS' so the vowels always come together.

Q: If P(AUB) = 4/5, P(B) = 2/3 and P(AMB) = 1/5. Find P(A)? [Answer as a fraction]

A:

Q: One hundred rando wo species of the genus orms related to earthwo etween these two specie:

A: In above scenario we have to check the two variables are likely to be related or not. We have counts…

Q: Determine the value c so that each of the following functions can serve as a probability…

A: a) It is needed to find the value of c.

Q: Consider two events A and B. The probability for event A is P(A) = 0.52. Suppose P(B|A) = 0.65 an…

A:

Q: A population is normally distributed with mean 158 and standard deviation 45. A random sample of 56…

A:

Q: Seven people sit in a circle. How many ways can this be done if two people must sit together?

A: From the provided information, There are seven people sit in a circle from which two people must sit…

Q: Probability distribution of the number of vegetables that I would buy every week: X 2 4 6 8 10 P(x)…

A:

Q: 4. Suppose the moment generating function (mgf) of any random vector (X, Y), is given by M(t1, t2),…

A: False

Q: If P(AUB) = 4/5, P(B) = 2/3 and P(ANB) = 1/5. Find P(AB)? [Answer as a fraction]

A: Answer:-  Given, P(A∪B) = 45,  P(B') = 23    and P(A∩B) = 15                 Find P(A' ∩B) = ?

Q: NEAREST NEIGHBOUR ANALYSIS: attached maps of Central Thailand lements in two areas. Use the neares

A: Given for computing a Number of settlements b Distance between the settlements c mean…

Q: Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed…

A: