P(C|AUB) P(AUB|C) = P(C|A) + P(C|B), where AnB = 0 = P(A|C') + P(B|C) − P(An B|C) P(Aº|B) = 1 − P(A|B)

Q: Suppose one card is drawn from a deck of 52 cards randomly, What is the probability that the…

A: Answer: Using the given data, Total number of cards in a deck = 52 If one card is selected randomly…

Q: How many different arrangments can London make?

A: For flower arrangements in party Total no of tulips=11 Total no of carnations=10 Total no of…

Q: What is the probability of getting the exact order of Tails, Heads and Tails in three consecutive…

A: Lets assume a fair coin have been tosses the probability of getting Head or Tail will be =0.5

Q: You have a bag of marbles and there are 5 Red, 7 Green, 2 Blue, 6 Yellow marbles. If you choose one…

A: There is 5 Red, 7 Green, 2 Blue, 6 Yellow marbles.

Q: The depletion time of a vital resource in a production process is believed to be normally…

A: From the above question μ=40 minutes  σ=2.4 minutes  n=12  x¯=40.5 minutes

Q: P(|X|> 0.4)

A: X~t(20)

Q: Q5. Let X₁, X2 be a random sample of size n = 2 from the distribution having p.d.f f(x; 0) =…

A: Here, we have given exponential distribution with some testing condition, then we have to find the…

Q: Use the standard normal table to find the specified area. Between z=−0.45 and -1.72

A: We need to find the area between them

Q: select one puppy at random with replacement (they may both select the same one), find the…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: Problem 11.5. Let X1, X2,..., Xn be a random sample from an exponential distribution with an unknown…

A:

Q: In an experiment, the probability of getting the desired outcome is 0.48. What is the probability of…

A: It is given that the probability of getting the desired outcome is 0.48 We have to calculate the…

Q: Assume the random variable x is normally distributed with mean μ = 83 and standard deviation o=5.…

A: normal distribution μ = 83σ = 5P(70<x<79) = ?

Q: Assume that a sample is used to estimate the life expectancy for males in a certain county. Find the…

A: From the provided information, Sample size (n) = 74 Sample mean (x̄) = 52.4 Sample standard…

Q: 1. What R code will compute P(X125)? 3. What R code will compute P(160<X<170) ?

A: X ~ N(150, 12) Mean(µ) = 150Standard deviations (σ) = 12

Q: Of all the weld failures in a certain assembly, 80% of them occur in the weld metal itself, and the…

A: Sample size(n)=20 p=probability of  weld failures occur in the base metal. p=0.20 q=0.80 Let X=no.of…

Q: If two dice are​ rolled, how many ways are the two numbers​ different?

A: Answer :- We know that dice has 6 number from 1 to 6  Two dice are rolled , then total outcomes =…

Q: times in succession. During each transmission, the probability is 0.995 that the digit entered will…

A: (a) The transition matrix for this Markov chain can be constructed based on the probabilities of…

Q: Study the Probability Mass Function below and find the answer to the following probability. X 1 3…

A: For the random variable X:

Q: = Suppose k events for a partition of the sample space , i.e., they are disjoint and Ut_1 Ai P(A;)…

A:

Q: Customer account "numbers" for a certain company consists of 2 letters followed by 4 single-digit…

A: Customer account "numbers" for a certain company consists of 2 letters followed by 4 single-digit…

Q: Solve the following Matrix Logic problem. Ted, Ken, Allyson, and Janie (two married couples) each…

A: Based on the given clues, we can make the following deductions:   1.Ted hates golf, so he can't be a…

Q: f a Congressional committee is to be made of six people selected from a group of eight Democrats and…

A: The number of ways of selecting exactly 1 Republican is determined below as follows:   From the…

Q: first card is a club and the second is a spade. ... probability that the first card is a club and…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: An online used car company sells second-hand cars. For 30 randomly selected transactions, the mean…

A: Sample size (n)=30 Sample mean=2400  Population standard deviation =110  We have to find a.. 99%…

Q: In a certain year, 13,625 professional train pushers are diagnosed with carpal tunnel.  The top…

A: Answer:- According to given information, Total number of professional train pushers are diagnosed…

Q: Do Generation X and Boomers differ in how they use credit cards? A sample of 1,000 Generation X and…

A: The data table provided in the question is as follows :- PAY FULL AMOUNT EACH MONTH ↓…

Q: 1) Show: P(E) ≤ P(F) 2) Show: P(E) is a subset of P(F) Given that E, F, G₁, G₂, G3,..., G, such that…

A: Let E, F, G1, G2....Gn such that P(E/Gi)≤P(F/Gi) We have to show that 1..P(E)≤P(F)  2..P(E) is a…

Q: 3) The mean of virus found probability that a sample h (4 significant number)

A: Q.3: The mean of the virus found in  Gombak in a sample of 3 liters of water is 5 Here the 6 liters…

Q: Outside a home, there is a 6-key keypad numbered 1-6. The correct four digit code will open the…

A: Outside a home, there is a 6-key keypad numbered 1-6. The correct four digit code will open the…

Q: A TV report conducted a survey of 824 people in New York City and found that 31% of the population…

A: The sample size: n=824 The population proportion: p=31% The 98% confident that the true proportion…

Q: (a) Find P(2 < X <3). (b) Find the CDF of X. (c) Finf E(X).

A:

Q: For X~ x²(7), what R code will calculate the following? 1. P(X0.47) 3. P(0.7<X<1.2)

A: 1) To calculate P(X &lt; 1.42) for X ~ χ^2(7), we can use the pchisq() function in R, which…

Q: From the sample space S = {1,2,3,4,...,15), a single number is to be selected at random. Given the…

A: Given ,sample space           S= { 1,2,3,4,........,15}       n(S) = 15  A: Sample space of selected…

Q: 1. You have the digits 0-9. How many 6-digit permutations are odd and do not start with 0? a. 75 600…

A: You have the digits 0-9.

Q: арис не + P + cu^

A: We have to find the calculation difference between 8C3 and 8P3

Q: mansion. His guests include 10 from the USA (US) India (IN), 5 each from the United Kingdom (GB) and…

A: 1: Introduction: A generating function is a mathematical tool used to encode a sequence of numbers…

Q: (3) The table below contains the length and weight w of a set of 5 fish. Each column represents a…

A:

Q: There are 10 yellow marbles, 12 red marbles and 8 white marbles in a box. If one marble is…

A: Answer: From the given data, Number of yellow marbles in the box = 10 Number of red marbles in the…

Q: For Xt(20), ANSWER THE QUESTIONS USING R CODE 1. P (X1.4) 3. P (0.45 < X < 1.21)

A: X ~ t(20) 20 is a degree of freedom of t distribution

Q: population mean a confidence interval extending from 58.4853 to 78.0747 points. Find the confidence…

A: A personnel manager has found that, historically, the scores on aptitude tests given to applicants…

Q: A survey about social media reported that 78 % of B2B marketers (marketers that focus primarily on…

A: Answer:- Given data table is,  We know that the intersection of two or more event is called joint…

Q: On a 10 question multiple choice test, where each question has 3 answers, what would the probability…

A: sample size (n) = 10 each question has 3 possible answers P(correct answer) = 13 P(wrong answer) =…

Q: 1. 1. Express P(A) in terms of x. 2. Express P(B) in terms of x. 2. Find the value of x. 3. Find…

A:

Q: If P(B)=0.25, P(A |B)=0.50, P(B')=0.75, and P(A |B')=0.60, find P(BA). (Round to the three decimal…

A:

Q: Please show all of your work for these problems and also use the 10 step hypothesis testing…

A: The null hypothesis, denoted as H0, is that there is no difference in the mean cholesterol levels…

Q: State if this scenario involves a permutation or a combination. Then find the number of…

A: The student body of 10 students wants to elect a president, vice president, secretary, andtreasurer.…

Q: 2) 6 committee members are chosen from 10 Parents and 15 Teachers. Find the number of committees…

A: no.of parents=10 no.of teachers=15

Q: Out of 200 students in a senior class, 113 students are either varsity or on the honor roll. There…

A: Out of 200 students in a senior class, 113 students are either varsity or on the honor roll. There…

Q: Let X be a continuous random variable on [0, 1] with positive PDF and Let Y = 1 - X. Find the value…

A: To find the value of c, we first need to find the distribution of Y, which is the distribution of…

Q: help with problem 3.

A: From problem 1 the 95% confidence interval for proportion of Wingate male students that are…