Students at Bell Middle school are allowed to wear two different colors of uniform shirts a survey of students at the school shows that a student is three times more likely to wear a red shirt than a white shirt if a classroom has 28 students how many students are likely to be wearing red and how many are likely to be wearing white

Q: 3. Suppose that the joint probability density of two random variables X₁ and X₂ is given S6e-2x₁-3x₂…

A: We have given joint PDF of X1 and X2 as f(x1,x2)={6e−2x1−3x2,x1,x2>00,otherwise

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A: The probability of mosquitoes that carried serotype B given serotype A is 0.09, the probability of…

Q: The time it takes to drive to top high school is normally distributed with a mean of 17 minutes and…

A: The time it takes to drive to top high school is normally distributed with a mean of 17 minutes and…

Q: Becky's cake and confections bake and decorate cakes for weddings. The ingredients for each cake…

A: Becky, who runs a cake business, needs to decide how many cake ingredients to purchase based on the…

Q: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted…

A: From the provided information,Total outcomes = 36Event A: The sum is greater than 7.Event B: The sum…

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A: a) To expand the consumer's expected utility maximization problem, we first need to specify the…

Q: Emily hits 60% of her free throws in basketball games. She had 7 free throws in last week’s game.…

A: e) According to the given information,Probability of success, p = 60% = 0.60Number of trials, n =…

Q: In a class of 100 students, 25 have hardcover and 75 students have paperback textbooks. If you…

A: d) According to the given information,Population size, N = 100Number of successes in population, K =…

Q: 12. In the school fair there is a horse racing game. The horses are coloured: red, blue and green.…

A: a) Given Information:Red horse wins with a probability of 1 (it always wins).Blue horse wins with a…

Q: Let E be the event where the sum of two rolled dice is less than or equal to 7. List the outcomes in…

A: From the information, given thatThe dice is rolled twice Let E denote the event of the sum of the…

Q: Calculate P(FIE), if P(E|F) = 0.24 P(E)= = 0.94 P(F) = 0.57 Round your answer to five decimals.

A: Given that,P(E|F) = 0.24P(E) = 0.94P(F) = 0.57

Q: Suppose we choose a uniformly random point (x, y) in the square S = [0, 1] × [0, 1]. LetA = {(x, y)…

A: The objective of this question is to find the probability that a randomly chosen point in the square…

Q: Example 5-15 Calculate the variance of g(X) = 2X +3, where X is a random variable with probability…

A: V(aX±b)=a2V(x)

Q: There are 2 components in parallel. When the system is operational you are in State 1. If the first…

A:

Q: Suppose the diagram of an electrical system is as shown. What is the probability that the system…

A: It is given thatP(A)=0.97, P(B)=0.8,P(C)=0.5,  P(D)=0.8

Q: an ATM personal identification number consists of 3 digits. 0,1,2,...,8 or 9 in succession. how many…

A: GivenMake 3 digit with the help of 0,1,2,3,4,5,6,7,8,9

Q: The following sample represents the two data on chlorine residues (in part per million) in a…

A: By using the linear regression,Here, Time(x) = independent variableWaste (y)= dependent variable

Q: Required Information The General Social Survey asked a sample of adults how many siblings (brothers…

A: μx+y=E(X+Y)=E(X+Y)

Q: Look at the fatalities pie chart below. Which of the following conclusions is correct? 93% of all…

A: The pie chart shows the percentage of workplace fatalities in the United States in 2013 by gender.…

Q: When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B);…

A: The objective of this question is to determine all possible combinations of restaurants, movies, and…

Q: 1. Let X be a random variable with pdf f(x) = 1,0 3).

A: The random variable has pdf is given by:

Q: 9. If the diameter X [cm] of certain bolts has the density f(x) = k(x 0.9)(1.1-x) for 0.9 < x < 1.1…

A: Given the density of the diameter X [cm] of certain bolts as

Q: (b) According to a certain survey, adults spend 2.45 hours per day watching television on a weekday.…

A: (b) Let random variable X be the adults time spent watching television on a weekday.The distribution…

Q: please answer the question below

A: The objective of this question is to find the percentage of capacitors that we can expect to have a…

Q: When a balanced coin is flipped 10,000 times, find the lower bound of the probability that the…

A: Given a balanced coin is flipped 10,000 times.That is, number of trials is n = 10000Probability of…

Q: Consider the Markov chain (Xn)n≥o with state space S = {0, 1, 2} and transition probability matrix…

A: Consider the Markov chain  with state space  and transition probability matrix:Let T be the time the…

Q: On your bookshelf you have 7 math books, 9 novels, and 6 physics books. You pack for a long journey…

A: In the bookshelfNo. of math books=7No. of novels=9No. of physics book=6Total no. of…

Q: Problem 1. Suppose that the lifetime X (in hours) of a certain type of flashlight battery is a…

A: 1) Given,The lifetime X (in hours) of a certain type of flashlight battery is a random variable on…

Q: An insurance company sells a $9,000, nine-year term life insurance policy to an individual for $460.…

A: The objective of this question is to calculate the expected return for the insurance company from…

Q: cost

A: In queuing idea, the intention is to optimize the stability among the value of providing provider…

Q: About 1 in 1,100 people have IQs over 150. If a subject receives a score of greater than some…

A: About 1 in 1100 people have IQs over 150. The probability of individual with IQs less than 150…

Q: Assume that the UCC cafeteria has a single cashier. During peak hours, students arrive at a rate of…

A: The provided information is as follows:The arrival rate per hour is .The service rate per hour is .

Q: 5. Seventy percent of clay pots are produced by Machine 1 and 30% by Machine 2. Among all pots…

A: The objective of the question is to find out the percentage of total defective pots and the…

Q: Question 5: A double-sampling plan has n₁ a. Find the probability of acceptance. b. The cost of…

A: a) To find the probability of acceptance for a double-sampling plan, we can use the binomial…

Q: Let Z be a standard normal random variable. Calculate the following: Pr(-1.3 ≤ Z ≤ 0) Pr(0.25 ≤ Z) =…

A: Note:- Since you have posted a question with multiple subparts we will provide solutions only to the…

Q: Please help me stepwise and correct pls and show excel output also pls.

A: The objective of the question is to understand the distribution of the variable 'weekly time spent…

Q: What is the distribution of X + Y when X and Y are independent random variables with uniform…

A: The objective of the question is to find the distribution of the sum of two independent random…

Q: For a probability density function p(x) >0 on the interval (-∞, ∞) the entropy functional S[p] is…

A: Given the entropy function:  Subject to the constraints: and

Q: I need help with this please

A: The objective of this question is to find the conditional probabilities of needing a new oil filter…

Q: Directions: During a certain part of the day, the time between arrivals of automobiles at the…

A: Expected value E(x)=30Let "x" be the time between successive arrivalsA random variable…

Q: The following frequency table summarizes how many animals are surrendered to a local animal shelter…

A: The objective of this question is to find the experimental probability that a cat will be…

Q: 3. In a manufacturing process, lots having 10%, 12%, 14% or 16 defectives are produced according to…

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Q: A certain virus infects one in every 600 people. A test used to detect the virus in a person is…

A: Let A be the event "the person is infected" and B be the event "the person tests positive."P(A)…

Q: The Hoffmans are planning their next family night. They always have dinner out somewhere and then do…

A: The objective of this question is to find out the total number of different family night…

Q: a. A random variable X shows the distribution to curb the spread of the noble virus resulting into…

A: Random variable X represents the distribution of attempts/trials in the invention of the COVID-19…

Q: A motorcycle manufacturer indicates that the time (in years) that a motorcycle can last without…

A: Mean(μ)=2.8Variance(σ2)=0.35standard deviation(σ)=0.35=0.5916079783

Q: If you let X denote the wing length in millimeters of a male fly and Y the wing length in…

A: The objective of this question is to find the probability that a randomly selected male fly has a…

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A: Let X be the lunch demand and Y be the dinner portion of oysters.The covariance between the lunch…

Q: ience a stockbroker believes that under present economic conditions a customer will invest with a…

A: Answer Given,Tax-free = TMutual funds = MP [T] = 0.7P [M] = 0.4P[T ∩ M] = 0.28

Q: Large black-tailed gulls usually lay one to three eggs, and rarely have a fourth egg clutch. It is…

A: Let's denote the number of eggs laid as X, and the probabilities as follows:We are asked to find the…