= Suppose k events for a partition of the sample space , i.e., they are disjoint and Ut_1 Ai < P(A₁), then P(A¿|B) > P(A;) for №. Assume that P(B) > 0. Prove that if P(A₁|B) some i 2.....k.

Q: Q9. Two four-sided pair of dice are thrown with equally likely face values 1, 1, 2, 3. Let X denotes…

A: Two-four sided pair of dice are thrown with equally likely face values: 1, 1, 2, 3. X denotes the…

Q: *** The probability that the second is a black card, given that the first is a black card is.…

A: We know that There are 52 cards in the deck divided into two colour i.e red(26) and black (26).…

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

Q: Assume that females have pulse rates that are normally distributed with a mean of 73.0 beats per…

A: Population Mean µ = 73 bpm Standard deviation (σ) = 12.5 bpm Sample size, n = 1 Let, X be the…

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A: Experience indicates that early on, these students tend to have only modest success and that 80% of…

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: Assume the annual day care cost per child is normally distributed with a mean of $5000 and a…

A: Mean=$5000 Standard deviation =$900

Q: Let X be a discrete random variable with pmf (a) Find the pmf for Y = X². (b) Find the pmf for U = X…

A: The PMF of random variable X is: f(x)=18      x=-214      x=-114      x=014      x=118       x=2  0…

Q: The doctors in Philippine General Hospital declares the probability that a covid-19 patient will…

A: sample size(n)=7 P=probability of success=0.90 q=1-p q=1-0.90=0.1

Q: Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean…

A: Here, n= 41, μ=125, and σ2=49.

Q: After the private screening of a new television pilot, audience members were asked to rate the new…

A: The tables shows the frequency distribution of the private screening of a new television pilot,…

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: The following data are the result of a historical study of the number of flaws found in a porcelain…

A: As per our guidelines we are suppose to answer only one questionkindly post the remaining question…

Q: • HW 2-If the return period of a severe hurricane in North America is 243 years, then find out the…

A: Severe hurricane in North America  Return period = 243 years P( no return in 10 years) = ?…

Q: 1. Find the value of c. 2. Find the expectation E[X] of X. 3. Find the variance Var(X) of X. (c,…

A: Probability density function of X is fX(x)= cx6 , 0≤x≤3

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: 95% confidence interval for a population mean is (92.0, 96.0). Calculate the sample mean?…

A: Answer: From the given data, 95% confidence interval for a population mean is, = (92.0, 96.0)

Q: One hundred college seniors attending a career fair at a university were categorized according to…

A: Total=100 Allowed to be creative or sense of giving to society =20+14+16+17=67 Female=20+16+17=53…

Q: ← When women were finally allowed to become pilots of fighter jets, e- needed to redesign the…

A: Population mean μ =169 Population standard deviation =45

Q: 1. Find (Probability of Blue Collar | Democrat) Use two decimal places in your answer.

A: Here  From given table P(DEMOCRATE)= 0.37 = P(D) P(BLUE COLLAR AND DEMOCRATE) = P(B∩ D) = 0.16

Q: An insurance company has 10,000 automobile policyholders. The expected claim per policyholder per…

A: The expected claim per policyholder per year is $260 and standard deviation is $800. μ=260σ=800 Let…

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A: 1) Above z=1.46

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A: (a) There is no evidence to conclude that population mean times for mixing a batch of material…

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A: According to the Bartleby guidelines expert solve only one question and maximum three subpart of the…

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A: NOTE: Hi there! Thanks for posting the question. Since there are multiple subparts, we have solved…

Q: Two risky gambles were proposed at the beginning of chapter 14:   Game 1:   Win $30 with…

A: The two games are:   Game 1:   Win $30 with a probability of 0.5                  Lose $1 with a…

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: Suppose a person throws two number cubes. Determine the number of possible outcomes of throwing two…

A: Two number cubes :  1: {1,2,3,4,5,6} 2: {1,2,3,4,5,6}  For two cubes ( total = 6*6 = 36 ) Likehood =…

Q: K In a study of 799 randomly selected medical malpractice lawsuits, it was found that 505 of them…

A: We have given thatn = 799x = 505p̂ = x/n = 505/799 = 0.6320Significance level (α) = 0.01

Q: Construct a Venn diagram illustrating the sets below. J= {1, 2, 3, 4, 5, 6, 7, 8, 9} = {1, 2, 5, 9}…

A: U={1,2,3,4,5,6,7,8,9} X={2,6,7,9} W={1,2,5,9} Z={1,4,6,8,9}

Q: (a) Construct a discrete probability distribution for the random variable x. (games played P(x)

A:

Q: Discrete Probability: Below is the problem and make sure to show the full and correct solution:…

A: Peter(win) means Paul(lose)  P= 2/3  Peter(lose) means Paul(wins)  P = 1- 2/3 = 1/3  For each game ,…

Q: Question 3 Question content area top Part 1 Consider the regression equation .log Y^i=log…

A: a. Using the regression equation, we can predict the value of Y when x1=7.3 and x2=5.9 as follows:…

Q: 1. Construct a 95% confidence interval to estimate the proportion of Wingate male students that are…

A: total number of male students =126 number of students who are left handed=17

Q: A bag has six balls labeled A, B, C, D, E, and F. One ball will be randomly picked, and its letter…

A: A bag has six balls labeled A, B, C, D, E, and F.

Q: Find V (Y)

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING QUESTIONS .…

Q: What is the probability that both numbers are odd if their sum is 7 ? What is the probability that…

A: Here sum=7 Sample space={(1+6),(6+1),(2+5),(5+2),(3+4),(4+3)} total 6 possibilities

Q: If 32% of the residents of Toronto wear glasses, 11% have green eyes and wear glasses, and 45% have…

A: Let Event G be the residents of Toronto wearing glasses. And E be the residents of Toronto have…

Q: 1) Show: P(E) ≤ P(F) 2) Show: P(E) is a subset of P(F)

A:

Q: 2. Let X be a continuous random variable with cumulative distribution function P(x) = { ₁-0 + -6x e…

A: The CDF of random variable X is given as: F(x)=1-e-6x    ; x&gt;00                 otherwsie…

Q: Many everyday decisions, like who will drive to lunch or who will pay for the coffee, are made by…

A: P(h)=0.5300 P(t)=0.4700 Find probability P(hh)

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: A bag of m&M's has 3 red, 6 green, 8 blue and 7 yellow m&M's  What is the probability of randomly…

A: From the provided information, A bag of M&amp;M's has 3 red, 6 green, 8 blue and 7 yellow M&amp;M's.…

Q: The probability that a person catches a cold during the cold and flu season is 0.4. If 10 persons…

A: We have Given that Probability (p )= 0.4number of person (n) = 10 Here we will use binomial…

Q: A Bayesian network has four variables: C,S,R,W, where -- C is independent, with P(C)=0.5 -- S is…

A: a) The possible states of the world for this Bayesian network are: C=true, S=true, R=true, W=true…

Q: Find the probability for the experiment of tossing a six-sided die twice.​The sum is 7.​a.…

A: A six-sided dice is tossed twice.

Q: Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength 66 74…

A: We have given the following table   Flying  Telepathy  Super strength  Total  Female  14 66 70…

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A: A false positive result in medical testing means that the test has come back positive for a disease…

Q: Let 11 1 2 14> : 11 Calculate 14> = |Q> (Normalize IQ>) Then find the probability that Q> is found…

A: ω=121-ii2 ,μ=121i Calculation of ωμ ωμ=ωμ=121-ii2 121i    =121-ii21i    =121-i2i+2i    =121+1i+2i…