a) Find the probability of exactly 32 particles arrive in a particular one minute period. b) Find the probability of exactly one particle arrives in a particular one second period. c) Find the probability that at least one particle arrives in a particular one second period.

Q: well-balanced die is rolled 300 times. Find the probability that the [1] appears between 55 and 60…

A: n=300, P(55≤X≤60)=?

Q: A city planner surveyed 144 residents. For each, the planner recorded whether the resident owns a…

A: a)The table defines the number of residents, who own a card and whether the residents live alone.

Q: Consider a random variable X with the following pdf: fx (x) 2/9 1/9- 0 + 3 6 8 a) What is P(X ≤ 5)?…

A: PDf of random variable X is:

Q: 5. How many ways to line up 10 identical green bottles and 7 identical black bottles in a row, if no…

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Q: Brandy is sorting through her many pairs of socks, and is counting how many of each color she has.…

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Q: Problem 6. Suppose that a fair coin is tossed n times. Estimate the probability that the proportion…

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Q: n 2 and 3 hours? (Round your answers to four decimal places.) 2 hours 3 hours 2 and 3 hours the…

A:

Q: 2. A discrete random variable X takes all positive integer values {1, 2, 3, 4,...) and has…

A: F(K)=1−13k

Q: Students were surveyed on campus about their study habits. Some said they study in the morning,…

A: Total number of students=42

Q: P(z> -1.062) = (Round to four decimal places as needed.)

A: X~N( μ , ?)μ=0 , ?=1 For standard normal distribution.Z-score =( x - μ )/?

Q: Help pls: Suppose X ∼ Exp(λ). Find Var(X).

A: X~Exp(λ)

Q: Let A and B be events. Assume that P(A) = 0.55, P(B|A) = 0.36, and P(B|A') = 0.84. Then, P(A∩B)=?,…

A: P(A) = 0.55P(B|A) = 0.36P(B|A') = 0.84

Q: If eight distince dice are rolled, what is the probability that all six numbers are rolled?

A: If 8 distinct dice are rolled than the possible out comes are 68 .

Q: Let X₁, X₂,... be independent random variables, each taking a value of either 1 (with probability p)…

A: Given:Let  be independent random variables, each taking a value of either 1 (with probability p) or…

Q: (iii) Use the Binomial Theorem to show that F-5(*) Σ() = 27 k=0

A: It is to be proved using the Binomial Theorem that

Q: a) Determine the value of the normalizing constant c b) Find the MGF of the distribution of Y c)…

A:

Q: 2. A random variable X = {0, 1, 2, 3} has probability mass function: 1 1 2 Px(0) = Px(1) = Px(2) =…

A: X~{0,1,2,3}

Q: The equation below estimates the effect of race on the probability of mortgage denial, holding…

A: Given that,      Pr(deny=1|P/I ratio, black)=(-2.29 + 2.78 P/I ratio+ 0.71 black)where,      is the…

Q: 7 The probability that it is from the 40s is 40 1 The probability that it is from the 50s is 4 The…

A: It is given that    EraNo. of records  40s   7  50s  10  60s  1  70s  4  80s  8 Total

Q: Consider a large-sample level 0.01 test for testing Ho: P = 0.2 against Ha: p > 0.2. USE SALT (a)…

A: Given a large-sample level 0.01 test for testing  against .

Q: Use the Peano Axioms to prove each of the following. (a) 12 • (b) 1 3 and 2 = 3 ●

A: The Peano Axioms are usually formulated as follows:0 is a natural number.For every natural number n,…

Q: Last year at a certain high school, 11 students sought the nomination for president of the student…

A: From the provided information,Last year at a certain high school, 11 students sought the nomination…

Q: According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15%…

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

Q: 2. Suppose X and Y each have an exponential distribution with parameter a, find the joint p.d.f of X…

A: Suppose X and Y each have an exponential distribution with parameter .

Q: Assume a member is selected at random from the population represented by the graph. Find the…

A: Given:

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A: Consider the given logit regression:Sample size (n) =1000

Q: Find the z-score that has 70.5% of the distribution's area to its right. he z-score is Round to two…

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Q: Suppose the number X of tornadoes observed in Kansas has a Poisson distribution with A = 9 per year.…

A: The number X of tornadoes observed which has a Poisson distribution with per year.

Q: Ten applicants applied for jobs in a company. The review process has three stages. The company first…

A: In this first stage, the probability that an applicant is not rejected at this stage is 0.5. The…

Q: Let the sample space S be the triangle with corners (0,0), (1,0), (0,1) with a uniform probability…

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

Q: Determine the probability that neither card shows a 1 or a 3​, with replacement.

A: A board game uses the deck of 20 cards shown to the right. Two cards are selected at random from…

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 8 seeds are planted,…

A: There is a 90% chance of growing into a healthy plant.

Q: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many…

A: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10.

Q: A roulette wheel has 38 slots and a ball that rolls until it falls into one of the slots, all of…

A: Given:Total slots =38Red slots =18Black slots =18Green zeros =2The probability of the ball landing…

Q: The Z-score is. (Round to two decimal places as needed.)

A: It is given that the standard normal random variable Z with mean 0 and standard deviation 1.

Q: 5 different colored flags will be placed on a​ pole, one beneath another. The arrangement of the…

A: 5 different colored flagsWe need to select 5 flags from 5

Q: he amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean…

A: We are going to find the probability by the help of z scores, calculate z scores of each then find…

Q: for part 2) why are the limits on the integral 10 as the lower bound and 20 as the upper bound? does…

A: The probability density function of t is f(t)=.     for 10<t<200.                  OtherwiseWe…

Q: An article reported that, in a study of a particular wafer inspection process, 356 dies were…

A: A sample of 356 dies were examined by an inspection probe and 196 of these passed the probe.

Q: 1. Suppose that X1, X2, · · · , Xn are iid (independent and identically distributed). Let E[Xi ] =…

A: Given that X_n are iid with and ,we can determine the expected value and variance of the sum

Q: TREKLAIR bulbs have an average lifespan of 800 hours with a variance of 1,600 hours2 .This duration…

A: Mean() = 800Variance () = 1600Standard deviation() = = 40X~N(

Q: 1. After getting a wonderful teaching job, you naturally want to get something nice for your…

A: (As per our standard guidelines, we are supposed to answer only 1 question.)1) Given:Recliner…

Q: Teams A and B play games until one of the teams has won two times. For each game, Team A wins with…

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Q: The diameters of ball bearings are distributed normally. The mean diameter is 53 millimeters and the…

A: From the provided information,

Q: Three boys and six girls are being seated in a row of nine chairs on a stage which are numbered from…

A: 3 boys and 6 girls are seated in a row of 9 chairs on a stage.These chiars are numbered from left to…

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

Q: (d) (e) Using the marginal density of Y from (b), find the probability that the walk-up window is in…

A: Let X and Y have joint pdf

Q: Hint: Use the Central Limit Theorem ]. Flip a balanced coin 5000 times. Let X be the total number…

A: n=5000P=0.5

Q: When ordering a certain type of computer, there are four choices of hard drive, three choices for…

A: Number of choices for hard drive = 4Number of choices for memory = 3Number of choices for video card…