1. If a poker hand (5 cards) is dealt from a well-shuffled, standard deck, calculate the number of ways each even could happen. a) There are no hearts [575 757] b) There is at least one jack [886 656] c) There are at least 2 spades [953 940]

Q: 3. Consider rolling a fair six-sided die, so that S = {1, 2, 3, 4, 5, 6}. Let X(s) = 5, and Y(s) =…

A: Given that  A fair six-sided die is rolled  S = { 1 , 2 , 3 , 4 , 5 , 6 }

Q: Suppose a college student organization has thirty-five members comprising exactly seven students…

A: given data seven students of each five different majors. total35 syudents. select 5 at random P(all…

Q: i) Let X be a random variable that is approximately normal. Assume the population standard deviation…

A: i)Givenstandard deviation(σ)=11.6confidence interval=95%Margin of error(E)=2

Q: Find a, b, and c if [a b c]+[c a b]= [3 2 -1] Given: 0 4 - [³ - 2 - 4 ]- B - [ - 2 - 6 ], and C-[₁7]…

A: Please find the explanation below. Thank you.

Q: Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about…

A: Given information: PRainNo afternoon tide=0.10PRainAfternoon tide=0.15P(Afternoon tide)=0.50P(No…

Q: Amanda Fall is starting up a new house painting business, Fall Colors. She has been advertising in…

A: Given that, Amanda Fall is starting up a new house painting business, Fall Colors. She has been…

Q: Consider a random experiment with a sample space. Suppose that we know: where c is a constant…

A:

Q: A game show awards the winner of a contest a random whole dollar amount uniformly distributed…

A: given data  uniform distribution x~U(100,500)P(190<x<386) = ? f(x) = 1b-a = 1500-100 = 1400

Q: A restaurant is planning to open in town. They estimate that there is a 50% probability that is will…

A: It is given that there is a 50% probability that is will make $50,000, a 15% probability that it…

Q: Using the Binomial distribution, If n=10 and p=0.4, find P(x=4)

A: Here, n is 10 , p = 0.4  By using binomial distribution.

Q: (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) = P (B)…

A: From the given Venn diagram Total students = 8

Q: (4) Find the conditional probability that the watch has an operational lifetime in excess of 5 years…

A:

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: Median = 0.489 Q3 = 0.648 Looking at the histogram and boxplot, comment on the shape: left skewed…

A: Solution

Q: Baskin's Robbins has 8 different toppings to choose from for a bowl of ice cream. How many different…

A: There is total 8 different toppings.

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

A:

Q: Suppose P(C) = .048, P(Mn C) = .044, and P(M u C) = .524. Find the indicated probability. P(M) .528…

A: We have given that,  P(C) = .048, P(M∩C) = .044 and P(M∪C) = .524 Then,  We will find probability…

Q: It is assumed that 1% of Canadian females above the age of 60 have a certain cancer. A simple test…

A:

Q: Suppose you roll a 20-sided die 3 times in a row and you record the result as an ordered list of…

A: 20 sided die : 3 times : total outcomes= (20³) = 8000 {1,2,....20} Probability= favorable/total

Q: The immortal jellyfish Turritopsis dohrnii is a sea creature that spends the majority of its life in…

A: Given that polyps develop into free-swimming medusa as they age, and medusae are able to return to…

Q: If you have ever read the children's book Dragones y Tacos, you may know that some dragons breathe…

A: From the given information, Some dragons fire if they eat tacos with salsa picante. Oris and Rafa…

Q: 1.Determine the probability p, or an estimate of it, for each of the following events: (a) An odd…

A: 1)a)Given a dice is tossed single time

Q: The time it takes to grade an test has a mean of 5.45 minutes and a standard deviation of 1.2…

A: Given that.   X~N( μ , ?)   μ=5.45    , ?=1.2   Z-score =( x - μ )/?

Q: given month at this intersection: (a) at least 2 accidents will occur? (b) 5 or 6 accidents in half…

A: It is given that the random variable X i.e, intersection results follow Poisson distribution with…

Q: 1.A company trying to decide which 3 colors to include in a promotional mini box of 3 crayons. They…

A: 1) Combination Rule: There are n different items and r number of selections, the selections are made…

Q: 2-56. A computer system uses passwords that contain exactly eight characters, and each character is…

A: Probability is used to measure the likelihood of the event. It provide who much a event can occur in…

Q: (a) In a random sample of 186 children taken more than a decade ago, what is the probability that 50…

A: a) n=186 More than a decade ago, high levels of lead in the blood put 83% of children at risk. Let X…

Q: From the following list of hypothetical situations, identify those that are independent events using…

A: Independent  Condition P(A∩B) = P(A).P(B)

Q: Suppose a hospital is given a grant of 1.5 million dollars from the federal government for…

A: Given that  Grant Surgery = 1020000 Emergency = 255000 Pediatrics = 150000 Pharmacy = 75000

Q: A pass word is to have 5 characters, with 3 letters and 2 digits. How many different sequences are…

A: GIvenlength of password = 5 charactersNo.of letters = 26     (i.e., from A to Z)No.of digits = 10…

Q: A hospital emergency room accepts an average of about 47 bone fracture patients per week. Let the…

A: Given,The average no.of bone fracture patients per week is 47 .

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

A:

Q: There is a method to distinguish granite (G) or basaltic (B) rocks in the soil, the method consists…

A: The event G denotes that the rock is Granite and the event B denotes that the rock is Basaltic. It…

Q: (a) What is the shortest time that an insect can be on a plant and stay as long as at least 50% of…

A:

Q: the pivot table to find the answers. write answers as decimals rounded to 3 decimal places.  a) You…

A: Given that    Female  Male  Total Full time 1030 246 1276 Part time 411 58 469 Total 1441…

Q: A perfect shuffle of a stack of cards involves splitting the stack into two halves of equal size,…

A: Given Total number of stack of cards =20 A perfect shuffle is stack of cards split into two equal…

Q: In a batch of 50 light bulbs, 5 are defective. Two are selected at random, without replacement, from…

A:

Q: Treatments Error k-1 =3 N-k=716 SSTR = 212.9379 SSE 1,969.4932 MSTR = MSE = SSTr k-1 212.9379 SSE…

A: It is given that the  ANOVA table. Here, need to fill up some missing values in the table.

Q: It is useful for Fire Departments to have a model for X =number of direct injuries occurring in a…

A: From the provided information, X 0 1 2 3 4 5 6 7 8 9 P (x) 0.08 0.09 0.09 0.14 0.18 0.16 0.09…

Q: A certain club consists of 5 men and 6 women. How many ways are there to form a committee of…

A: Answer: - Given, A certain club consists of 5 men and 6 women.                  Total = 5 + 6 = 11…

Q: In a game a die is thrown, and if 4, 5, or 6 comes up you win; otherwise for 1, 2, or 3 you lose.…

A: Die : {1,2,3,4,5,6} 4,5,6 is symbol of win  1,2,3 is symbol of lose  For die, Probability to get one…

Q: What is the probability that a tourist visited at least one of these places?

A: It is given that  P( Beijing ) = 68% = 0.68 P( Xi’an ) = 61% = 0.61 P( Beijing and Xi’an ) = 29% =…

Q: Answer each of the following questions. Show your work. (a) Two tennis players, A and B, are playing…

A: Probability:  The probabilistic situation for each strategy (course of action) may lead to a number…

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 P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

A:

Q: Probability of guessing 11 out of 20 questions correctly. On a 20 question multiple choice test (4…

A: GIVEN DATA,n= 20 questions each  question has 4 multiple choices p(correct…

Q: 2. Let X and Y be continuous random variables having the joint density function: [c(x² + y²) 0 f(x,…

A: Given that        c = 3/2  The the joint pdf of x and y is given in the question.

Q: Assume that all grade-point averages are to be standardized on a scale between 0 and 5. How many…

A: Given margin of error=0.013, standard deviations σ=1.25, level of significance ɑ=0.05

Q: The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is…

A: Hint:  sample mean =1n∑xi Sample Variance s2=∑xi-x¯2n-1

Q: 4. Let X'= (X₁,..., Xn) be an n-dimensional random vector whose covariance matrix exists. Let A be…

A: Let's simplify Covariance of AX,  Cov(Ax)= E[(Ax-E(Ax))(Ax-E(Ax))]' = E[(Ax-A*E(x))(Ax-A*E(x))]'