Number of circular permutations of different .!things taken all at a time is (n-1)

Q: Prove: If A and B are events, then P(B) > P(A ∩ B)

A: Solution-: Given: A and B are events. We want to prove P(B)≥P(A∩B)

Q: Three couples and two single individuals have been invited to an investment seminar and have agreed…

A: Given Information: There are 3 couples and 2 individuals. The probability that any particular couple…

Q: The cumulative distribution function F(x) of a random variable X is given by 0, -8 <x<-1 0.2, 0.8,…

A:

Q: Suppose A and B are dependent events and P(B | A)=0.4, P(ANB)=0.1, P(B')=0.62. Find P(A U B).

A: Consider that A and B are two dependent events.

Q: 6. A box contains good and defective items. If an item drawn is good, we assign the number 1 to the…

A: Given that, A box contains good and defective items. If an item drawn is good, we assign the number…

Q: Three laboratory technicians work in a quality control laboratory with five different pieces of…

A: From the provided information, There are three laboratory technicians work in a quality control…

Q: 16 In how many ways can 8 girls be arranged in a circle?

A: Given that  Number of girls = n = 8 Note : According to bartleby experts question answers guidelines…

Q: et X be a discrete random variable with P(X = -2) = .1, P(X = 1) = .15, P(X = 2) = .4, P(X = 4) =…

A:

Q: 1) Dan bought a box with 120 USB drives for his company. The defect rate for this USB drives brand…

A:

Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1

Q: An e-mail message can travel through one of two server routes. The probability of transmission error…

A: Given data:   Percentage of messages Server 1 Server 2 Server 3 Server 4 Route 1 35% 0.01 0.015…

Q: A flower store has an inventory of 25 roses, 15 lilies, 30 tulips, 20 gladiola, and 10 daisies. A…

A: given data 25 roses 15 lilies30 tulips20 gladiola10 daisies100 total flowers

Q: c) Let Ô₁ = X₁+2X₂+2X3-X4 one of the two estimators is more efficient? and Ô₂ = (X₁ + X₂ + X3 + X4)…

A: The given pdf of is Poisson distribution with parameter θ. Then E(Xi) = θ = Var(Xi)

Q: Suppose that the number of drivers who travel between a particular origin and destination during a…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Show that for any e > 0 and S, 1X₁, lim P(|S₁-81 ≥ 2) = 0. y'a 3140

A: We will use Chebychev's inequality to find the required limit of probability.

Q: Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 107 and…

A: Given information: μ=107, σ=5

Q: An e-mail message can travel through one of two server routes. The probability of transmission error…

A: Given Information:   Percentage of messages Server 1 Server 2 Server 3 Server 4 Route 1 35 0.01…

Q: a) Let X₁, X₂, X3, X30 be a random sample of size 30 from a population distributed with the…

A: X~exp(1/2) Note: According to Bartleby guidelines expert solve only one question and maximum 3…

Q: Write a fraction as a percent

A: A fraction can be converted into a percent by dividing the numerator by the denominator and then…

Q: (b) Based on the results obtained from EXCEL output, perform the hypothesis using the different…

A: Anova is the measure of parametric test. It test the mean significance between the groups. It…

Q: In the following diagram, each switch is in a closed state with probability p, and the open state…

A: As shown the circuit has 4 designated paths to pass the current from A to B Probability of a closed…

Q: i) State, with parameter(s), the probability distribution of the statistic, T = Σ=Wi?

A: It is given that Zi and Wi follows Standard Normal distribution i.e N(0,1).

Q: In series, teams A and B play until one team has won 4 games. If team A has probability 2/3 of…

A:

Q: p(x) represents the probability density function of variable x. Four samples of delta function are…

A: The probability density function of a random variable x is given in graphical form. The random…

Q: 4.25 A local hospital estimates that the number of patients admitted daily to the emergency room has…

A: given data x = No. of patients admitted daily λ=4 p(x=X) = e-λ(λ)xx!     - poision distribution

Q: 2) Consider the game of spinning the equal segment spinner to the right. If you spin an odd number…

A: There are 10 segments in a spinner 1 appears in 2 segments 2 appears in 2 segments 3 appears in 2…

Q: 3. A waiter captain must allocate 24 tables among four waiters. In how many ways can he make this…

A: Answer: There are 24 tables and 4 waiters. a) There are no restriction which implies that each…

Q: What would be the probability of an event 'G' if H denotes its complement, according to the axioms…

A:

Q: 1. You are given P[AU B] = 0.7 and P[A U B'] = 0.9. Calculate P[A].

A: Given P(AUB)=0.70, P(AUB')=0.90  P(A)=?

Q: Q2 - A man gets rid of his car every year and buys a new car. If his car is a Jeep, he sells it and…

A: (Dear student, According to Bartleby rules, we can answer at most 3 sub parts at once. If you want…

Q: If E denotes the expectation the variance of a random variable X is denoted as (E(X))^2 - E(X)

A: Let Expected value=E(X)

Q: Plot the results of BOTH studies on ONE bar graph. What kind of graph Sould we use?

A: Graphs are used for various purpose. Each graph has a purpose and each graph used for particular…

Q: Question 1 The Valley Wine Company purchases grapes from one to two nearby growers each season to…

A: Given: The valley Wine company purchases grapes to produce 3,000 bottles of the wine

Q: 2. Machined parts are classified according to the condition of the edge. On average, 15% of machined…

A: Given, 15% of the machined parts are coarse, 35% are moderate and 50% are smooth. So, if a machined…

Q: How many possible outcomes are there in the sample space of an experiment that consists of picking a…

A: All intended outcomes of an incident are part of the sample space. For example, a single six-sided…

Q: In a group of 78 people; 24 drink tea and 31 drink coffee. Find the probability that a person picked…

A: 24 - drink tea 31 - drink coffee total 78 people select at random

Q: Decide whether a discrete or continuous random variable is the best model for each of the following…

A: It is needed to obtain the best choice of discrete or continuous random variable in each case.

Q: Suppose that P(A|B)=0.1, P(A|B')=0.3, and P(B)=0.9. What is the P(A)? Round your answer to two…

A:

Q: Intelligence as measured by IQ score = 136 is best described as

A: Given:  Intelligence as measured by IQ score =136is best described as ? 1): Nominal  2): ordinal…

Q: If you flip a fair coin ten times: a) What is the most common mix of heads and tails you might see?…

A: A fair coin has 1/2 probability of heads as well as tails, therefore when we are tossing the coin…

Q: The probability that an entering college student will graduate is 0.4. Determine the probability…

A: From the provided information, Sample size (n) = 5 Probability that an entering college student will…

Q: a town of 3,000 people, 600 are over 50 years of age and 400 are left-handed. It is also known that…

A:

Q: We will consider one of the world's most popular video ga Minecraft (adapted from Mills & Mills,…

A: Given Information: Number of trials (bones) is 9 Probability of taming the wolf with each attempt is…

Q: Show that for any &> 0 and Sn = 1X₁, lim P(|S₁ − 0| ≥ ɛ) = 0. n-00

A: We will use Chebychev's inequality to find the limit of given probability.

Q: 4) The following two independent spinners were spun simultaneously 13 times. What is the probability…

A:

Q: 3 and 4, write each number in sta Four hundred two million seventy-three thousand one hundred eighty

A: The objective is to write the given number in the standard form.

Q: Note: Please make sure to properly format your answers. All dollar figures in the answers need to…

A: 6. Mean water bill for the entire year: Mean=∑i=112xiNumber of months…

Q: Problem 3 Suppose you are customising a character in your favourite video game, and the character…

A: Note: As per guidelines we will solve the first question only, please repost other questions for…

Q: Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a…

A:

Q: An automatic machine in a manufacturing process produces a certain subcomponent with lenghts that…

A: Given Mean = 110 Sd = 5.1 Sample size = 4