2. In the selection of 16 finalists, 3 finalists will be selected to participate in the next round, how many possible pairs will participate in the next round

Q: Problem 2 Let (,,P) be a probability space. (1) For measurable events A,B,C EA with P(C) >0 and…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

Q: The scores of the students in the final examination are normally distributed with a mean of 82 and a…

A: Given M=mean=82, standard deviations σ=6  P(X<75)=?

Q: On average a certain intersection results in 3 traffic accidents per month. What is the probability…

A: The mean per month is 3.

Q: probability experiment is conducted in which the sample space of the experiment is S =…

A: It is given that  The same space of the experiment is S = { 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,…

Q: 4. A restaurant offers 4 different flavors of coffee, 3 different soup selections and 4 different…

A: Given,no.of coffee flavors=4no.of soup flavors=3no.of sandwiches flavors=4

Q: Let's derive another useful way of computing the mean of a nonnegative, integer-valued r.v. X.…

A:

Q: A state grand lottery is conducted in which six winning numbers are selected from a total of 55…

A: From the given information we have Total numbers = 55Number of winning numbers = 6Number of losing…

Q: A box contains two fair coins, two coins that are weighted so that the probability of heads is .75…

A:

Q: Time of waiting between calls a person recieves is random with pdf: f(x) = 3e^(-3t) let T1 and T2…

A: Given t~exp(3) It is the standard pdf of exponential distribution with parameter 3.

Q: There is an 85% chance that a student will pass Engineering Data analysis subject. A random sample…

A: It is given that  Proportion, p = 85% = 0.85 Sample size, n = 120

Q: At a ski resort, each day's weather in the month of December can be treated as independent from each…

A: Utilities binomial pmf to calculate the probability.

Q: What is probability that gross profit will be less than 10%? b) Would you advise manager to…

A: It is given that  Mean, μ = 12% = 0.12 Standard deviation, σ = 6% = 0.06

Q: I have 10 red and 10 blue cards. I shuffle the cards and then label the cards based on their orders:…

A: Given problem Given that   I have 10 red and 10 blue cards. I shuffle the cards and then label the…

Q: What percentage of world population are smokers? b) What percentage of women are smokers? c) What…

A: Let us define some events  A : a person is man. B : a person is woman. E : a person is smoker. Given…

Q: According to market research, 32% of households in the United States have a cat. a) If ten…

A: Given P=32% n=10

Q: At a meeting of the board of directors for a manufacturing company, one of the regional managers put…

A:

Q: How many ways are there to arrange 10 people in a line? Suppose it took 1 minute to arrange these…

A:

Q: Test samples of mild steel rods are selected randomly from a large number of rods with mean strength…

A: Given,mean(μ)=65 kips per rodstandard deviation(σ)=10 kipsThe combined mean for 10 rods…

Q: If I have 7 nickels, 3 dimes and 5 quarters, but all of my change has fallen out of my wallet into…

A:

Q: BJ-P Bhoj.

A: If A and B are any two events.  P(A U B)= P(A) + P(B) - P(A ∩ B)

Q: You have a collection of 7 Scrabble tiles labelled A, B, C, D, E, F, and G. How many ways can you…

A: 7 scrabbles : {A, B, C, D, E, F, G} select 3 at random  P(one vowel and 2 consonants ) = ? vowel :…

Q: 2. The following situation arises in various situations such as when you are a homeowner. Suppose…

A: Given the probability distribution of loss as Loss Probability 1000 110 100000 110000…

Q: According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights…

A: Givenp=0.80sample size(n)=25

Q: A boiler has five identical relief valves. The probability that any particular valve will open on…

A:

Q: How did you get the 38,37, and 26?

A: No.of red balls = 3 No.of green balls =3 No.of blue balls =2 Total no.of balls = 8 (i.e. 3+3+2)…

Q: Probability and Statistics – Consider a game of chance using 5 dice. (Recall that a die has 6-sides,…

A: Given information: Number of dice used = 5 Number of times five dice are rolled = 10

Q: (5) Suppose you wish to create a truth table to analyze an argument whose variables are: A, B, C, R,…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING... here…

Q: The number of purchases of artworks at a fine art gallery on a weekend day has a Poisson…

A:

Q: Suppose that a certain tech company sources their chips from three different factories, F1, F2 and…

A:

Q: 3.1 Area under the curve, Part 1: Find the probability of each of the following, if Z-N(p=0,0=1).…

A:

Q: (d) What is the median checkout duration ? [solve 0.5 = F(M)]. (e) Obtain the density function f(x).…

A:

Q: 7. Assume that X is a nonnegative, integer-valued random variable with p.g.f. G(z). Let G(¹)(z)…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (6) The life in years of a certain type of electronic switch, X, has the following probability…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Select a committee of seven members from a group of six women and eight men. The order of selection…

A: Given that  A committee of seven members  Group of 6 women and 8 men

Q: a. If the Asian project is not successful, what is the probability that the European project is also…

A: It is given that  P(A) = 0.40,     P(A’) = 1 - P(A) = 0.60 P(B) = 0.70,     P(B’) = 1 - 0.70 = 0.30

Q: In a typical day, I respond to 3 students emails. What is the probability that in a 5-day work week…

A: Let X denote the number of email responds and it follows Poisson distribution with parameter (λ=3…

Q: Two distributions of data are being analyzed. Distribution A has a mean of 1,000 and a standard…

A: Coefficient of variation is a type of dispersion measure. Higher the coefficient of variation tells…

Q: A local pizza parlor has the following list of toppings available for selection. The parlor is…

A: It is needed to select 3 distinct toppings.

Q: (1) For measurable events A,B,C E A with P(C)>0 and P(BnC)>0, show that P(AnBnC)=P(A | BOC)P(B |…

A: Hello! As you have posted 3 different questions, we are answering the first question. In case you…

Q: 19. The populations of two countries are given for January 1, 2000, and for January 1, 2010. a.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A poll reported that 67% of adults were satisfied with the job the major airlines were doing.…

A: Given that n =15 ,p =0.67 ( b ) P( X =8 ) = ?

Q: What is the probability that 5 of the students reported depressive symptoms?

A: Let p be the probability that a student reports depressive symptoms.  Given that p = 0.18 Let X…

Q: Use the fact that the mean of a geometric distribution is μ =- and the variance is o² = - Р 2 Р 1…

A: Given that mean of geometric distribution is μ=1p & σ2=qp2

Q: The table shows the distribution, by age and gender, of the 29.6 million people in a certain region…

A: Given data is   Ages  18-24 Ages 25-34 Ages 35-44 Ages 45-64 Ages 65-74 Ages ≥75…

Q: 3. The Cov(X) of a random vector X'= (X₁, ..., Xn) is defined as E{(X-E(X))'(X-E(X)}. True or false,…

A: We know that, X' is a vector and Covariance of a vector X is equal to the variance of X.  Which…

Q: On average a certain intersection results in 3 traffic accidents per month. What is the probability…

A: Given,The average no.of accidents per month is 3 .Let X be the no.of accidents per…

Q: 2. From a group of 7 men and 5 women (including Ms. Sloumatis), (a) in how many ways can 3 men and 2…

A: Combination is used to select  r objects out of n objects when the order of selection does not…

Q: The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year.Suppose…

A: Given that  n = 100 , p = 2% = 0.02  p = Probability of people audited in one year X : Number of…

Q: -Suppose a student is chosen (A) What is the probability (B) What is the probability (C) What is the…

A: It is given that a probability matrix for students at a university classified by residency and…

Q: At a certain college, 45% of the students are female, and 19% of the students major in civil…

A: Solution-: Given that: 45% of the students are female i.e. P(F)=0.45 19% of the students  major in…