Use the union rule to answer. If n(A) = 8, n(B) = 10 and n(AB) = 6, what is n(AUB)?

Q: 1. Do the following functions define DFs? 0 if x 1/1 = & 1-- X if x 1 (iii) F(x) = -e-x if x < 0…

A: Here we have to find given functions define distribution functions or not.

Q: 6) You ask your friend to randomly write down a 5 digit number. What is the probability that he…

A:

Q: You are given the chance to play one of two games: One where there is a 20% chance of you winning 8…

A:

Q: X p(x) (a) Compute E(X), E(X2), and V(X). E(X)= 18 E(X2)= 327.2 ✓ ft³ V(X)= 3.2 18 16 20 0.4 0.2 0.4…

A: The provided equation is: h(x)=X-0.009X2 From previous parts, it is known that E(X)=18E(X2)=327.2

Q: he word "Knickknack" if "nack" goes together in a

A: Given: Total number of letters = 10  Number of letters to be together = 4 Number of 'k' apart from…

Q: 1. In a two-class problem, the likelihood ratio is p(x|C₂₁) p(x|C₂) Write the discriminant function…

A: Given that

Q: If A is a perfect subset of B and P(a < Pb), then P(BA) is equal to O a. P(a) / P (b)

A: Given: A is a perfect subset of BP(a &lt; Pb)

Q: Please use the following table to answer the question. Outcomes Frequency Heads 24 Tails 26 What is…

A: given data ,here outcomes and frequencies are given we have to find out the probabilty of flipping a…

Q: Timely patching is important for server security. Suppose an organization has 3 servers. Two of them…

A:

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: The following table summarizes the number of deceased beetles under autolysis (the destruction of a…

A:

Q: Let events A and B and sample space S be defined as the following intervals: S = {x: -1 ≤ x ≤ 12} A…

A:

Q: A bag contains 8 books. 3 are economics, 2 are English, and 3 are math. A book is selected at…

A: Introduction Probability: Probability helps us in knowing the chances of an outcome from a trial.…

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: (g) P(-1.70 sz≤ 2.00) 3 2 (h) P(1.46 ≤ Z ≤ 2.50) (1) P(1.70 s2) (1) P(IZI ≤ 2.50)

A: We will use Excel function to find the required probabilities based on Standard Normal distribution.

Q: Step 4 Thus, we have P(0 sz s 3)-(3) - (0). From part (a), we have the cdf value (0) = 0.5, the area…

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

Q: A discrete random variable has probability distribution: x= 1,2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A:

Q: (11) If f(x) is a p.d.-fand fla)=√ at ² 04x61 Ind the value of a ae 12x ≤2 O elsewhere

A:

Q: 2. A random experiment consists of tossing a die and observing the number of dots showing up. Let…

A: 2. It is given that tossing a die and observing the number of dots showing up.

Q: osua works as the customer service officer at the Agarwal Eye Clinic located in Tesano, a suburb of…

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

Q: A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a…

A: Let X denote the number of lines is use at specified time.   The pmf of x is given in following…

Q: Compute the probability P(Y= k), where is a positive integer. Your answer can include the variable…

A: From the given information, X is a uniformly distributed random variable on (0, 1). Y is geometric…

Q: (d) Evaluate f(x) by obtaining F'(x). f(x) = F"(x) = (e) Compute μ.

A: Continuous random variable are lie within a range. The continuous random variable follows a…

Q: Given p1 and p2 be positive real numbers less than 1 and let X and Y be discrete random variables…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(Probability…

Q: Exercise 2.9.54. [A] The exchange rate between euros and U.S. dollars is 1 € = $1.23. (a) How much…

A: Since 1 EUR = 1.23 USD, 100 EUR = 123 USD

Q: (c) P(-2.70 ≤ Z≤ 0) (d) P(-2.70 ≤ Z ≤ 2.70) (e) P(Z ≤ 1.46) (F) P(-1.65 ≤ 2)

A: Normal distribution shows bell shaped form with mean as center. For standard normal distribution,…

Q: If P(A)= 0.7 and P( B)= 0.6, find P (AUB) if: A and B are where Be is complement of B (not B)…

A:

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

A:

Q: This data is from a sample. Calculate the mean, standard deviation, and variance. 37.5 38 26.6 41.6…

A: x x2 26.6 707.56 29.6 876.16 37 1369 37.5 1406.25 38 1444 39.3 1544.49 41.6 1730.56…

Q: 8) The probability that Olivia goes to Queen's university is 0.25. The odds in favor of Alice going…

A: Introduction: It is required to find the odds in favor of the event that only one of student O and…

Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 9C5…

A: Given that We have to number of ways from 10 people of selecting 5 in which particular person is not…

Q: Consider the following computer output from a multiple regression analysis relating the cost of car…

A: The coefficients of the regression equation can be explained as the change in the dependent variable…

Q: An ecologist wishes to mark off a circular sampling region having radius 15 m. However, the radius…

A: The probability density function of a random variable R is given as follows: f(r)=341-(15-r)2…

Q: Joe tosses a fair three-sided die 4 times.  What is the probability he rolls all threes? If…

A: given data roll a fair three sided die 4 times 3 sided die : ∴P(1)=P(2)=P(3)

Q: The lifespans of six machines A 92 86 61 70 58 65 is 71? components made by O a. false b. true

A: We have given that Lifespans of six component of machine A are 92, 86, 61,70, 58, 65 is 71

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

A:

Q: 1. Find the Q₁,D5, and P65 of the following scores: 8 15 10 20 18 22 18 23

A:

Q: Verify that the following function is a probability mass function, and determine the requested…

A: P.m.f is given by,  p(x)= (125/31)*(1/5)x Whe X= 1,2,3  For every probability mass function, the…

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: 10. The number of times a certain equipment operates before having to be discarded is found to be a…

A: 10. For any  discrete probability distribution, ∑xp(x) = 1 And, if X and Y are two non null events,…

Q: 6) You ask your friend to randomly write down a 5 digit number. What is the probability that he…

A: Introduction: It is required to find the probability of obtaining a 5 digit number with identical…

Q: 2.5.12.) The length of time that an individual talks on a long-distance telephone call has been…

A: Given pdf  f(x)=ɑe-1/5x x≥0

Q: Determine and a from the given parameters of the population and the sample size. Round the answer to…

A: given data μ = 42σ = 15n = 25we have to find sampling distribution for x¯

Q: 3) A committee of 8 is to be selected from 18 Biologists and 10 Mathematicians. How many ways can…

A: Given 18=Biologist  10= Mathematics  Farmula used nCr=n!/(r!(n-r)!) r!=r(r-1)(r-2)...3.2.1

Q: 4-24 In a lot of 200 electrical fuses, 20 are known to be nonconforming. A sample of 10 fuses is…

A: Given that, in a lot of 200 electrical fuses, 20 are known to be nonconforming. A sample of 10 fuses…

Q: tes 4-digit decimal numbers in the range of 0000 to 9999 (all have the same chance)   What is the…

A: 4 digit decimal numbers 0000 to 9999 Sum of the number should be divisible by 5

Q: b. Find the probability that a randomly selected person at the hot springs stays longer then 60…

A: Given that  Mean = M = 62  Standard deviation = SD = 18 X ~ N( M = 62 , SD = 18 )

Q: A basket contains 4 pink clips, 6 purple clips, and 5 white clips. Daisy picks one clip and records…

A: given data,a basket contain 4 pink clips                              6 purple clips…

Q: During one year, a particular mutual fund outperformed the S&P 500 index 41 out of 52 weeks. Find…

A: Given that: A particular mutual fund outperformed the S&amp;P 500 index 41 out of 52 weeks.

Q: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die…

A: Given information: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will…