Assume that two balls are drawn without replacement from a box with 5 blue, 7 white, and 3 red. Find the probability of the indicated result for #1 - #3. Write as a fraction. Reduce the fraction.   1) The second ball is blue, given that the first ball was also blue.

Q: After a genetics experiment on 51 pea plants, the number of plants having certain characteristics…

A: 51 total peas18 were tall 23 had green peas40 had smooth peas7 were tall and had green peas18 had…

Q: What is the probability of drawing a card whose value is smaller than 6? (The Ace card is considered…

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Q: Define Probability matrix.

A: A probability matrix, also known as a stochastic matrix or transition matrix, is a square matrix…

Q: What is the area under the standard normal curve between z = -2.38 and z=0.72? 00.7729

A: Area between standard normal curve between z=-2.38  to z=0.72

Q: Calculate the simple interest on R700 at 9% per annum for 4 years

A: Solution

Q: Suppose a math class contains 30 students. There are 18 females (five of whom speak Spanish) and 12…

A: male female total speak spanish 03 05 08 not speak spanish 09 13 22 total 12 18 30

Q: Let X(t) = + cos(2t), with probability - cos(2t), with probability + sin(2t), with probability…

A: To prove that X(t) is a wide-sense stationary random process, we need to show that its mean function…

Q: Suppose that you are asked to estimate probabilities for an unusual die required for a board game.…

A: 3) Answer:- The given die has 10 sides. That is, total number of outcomes , n(S) = 10  Any given…

Q: John: "It will rain tomorrow!" Amy: "No, it wont!" In general, John and Amy are right about the…

A: Given Information: John and Amy are right about the weather with probabilities 70% and 60%…

Q: #6 (Chapter 4, Exercise 37) Show that the stationary probabilities for the Markov chain having…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer 1 question at a…

Q: In a television quiz you can accrue points which can then be converted to a money prize. Among all…

A: Given that, The random variable P is the number of points that occur. E[P]=121Var[P]=230 The amount…

Q: At a restaurant there are 3 choices for an appetizer, a choice of soup or salad, 2 choices for an…

A: A) Here's a tree diagram that displays the possible combinations for a 4 course meal:…

Q: 2) Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. The…

A: The objective is to check whether there is association between the variables based on the given…

Q: Find a constant C such that p is a probability density function on the given interval and compute…

A: Given function :  p(x) = C/(x+8)3 on [0,∞)  We know  :  Sum of all probabilities for a function = 1…

Q: The degree distribution of a network has the following functional form: Pk = Cak, Where a < 1 is a…

A:

Q: What is the probability of drawing 3 aces in a row from a standard 52 card deck when the drawn card…

A: q-1)select cardswith replement from 52 card deck. P(3 ace in row) = ? as per guideline expert have…

Q: An electronic company ships a lot of 50 computer hard drives to a store. At the arrival of the…

A: We have given information,  a lot of 50 computer hard drives to a store. The total number of…

Q: The online security firm SecurEnvoy and the researchfirm OnePoll conducted a survey in October 2012…

A: Assuming this was a simple random sample, we can use the central limit theorem to determine if 60%…

Q: The weather in Rochester in December is fairly constant. Records indicate that the low temperature…

A:

Q: You may need to use a binomial table for this problem: /courses/42506/files/8626473 A university…

A: Given that  Number of trials n=20 Success of probability p=0.10 X~binomial (n,p) nCx=n!/x!(n-x)!…

Q: (b) What is the probability that Donald Trump wins the town? (Hint: Donald Trump will win if 55-X…

A:

Q: In a small lake, it is estimated that there are approximately 105 fish, of which 40 are trout and 65…

A: Let A be the event that exactly two out of eight fish caught are trout, and B be the event that at…

Q: Consider the following sample observations on stabilized viscosity of asphalt specimens. 2,762…

A:

Q: Problem 1. Each of the three players chooses a real number between 1 and 10. Let s, denote the…

A: Given,  Each of the three players chooses a real number between 1 and 10. Let s_{i} denote the…

Q: A standard 6-sided die is rolled. Write the sample space as a set of outcomes. 1,2,3,4,5,6 Separate…

A: When we roll a 6-sided die then possible outcomes are S = { 1,2,3,4,5,6} Number of elements in set S…

Q: Let X denote the final depth of a crack on a railway, X~ N(5.496mm, 0.0672 mm2). What values of the…

A: given data  normal distribution X~N(5.496mm , 0.0672mm2) μ = 5.496 mmσ = 0.067mm

Q: A consulting firm is bidding for two jobs, one with each of two multinational corporations. The…

A: Given information P(A)=0.60, P(B|A)=0.50

Q: 5. (a) Let 0<q<1. By considering (r+q)- and differentiate both sides with respect to z show that…

A: (a) Given thatx+qn=∑0ncrnxrqn-r on differentiating with respect to x, we get     n(x+q)n-1=…

Q: Box I contains 1 red ball and 2 white balls. Box Il contains 2 red balls and 1 white ball. One ball…

A: Let us define some events  A : transferred ball is white B : transferred ball is red. E : ball from…

Q: Suppose a continuous random variable X has the following CDF::  F(x) = 1 - 1/ (x+1)4, x > 0. Find SX…

A: We have given, A continuous random variable X has the following CDF: F(x) = 1 - 1x+14, x &gt; 0.

Q: A random variable X has a distribution with probability function f(x) = k for x = 1,2,.... (a) Find…

A: (a) To find the constant k, we use the fact that the sum of probabilities of all possible values of…

Q: When a woman thinks she may be pregnant, she often uses an over-the-counter pregnancy test to…

A: The two-way table of a pregnancy test on 500 women is given as    Pregnant Not Pregnant…

Q: The random variable X takes value O with probability, and value 1 with the remaining probability.…

A: We have given information, The random variable X takes value 0 with probability 13, and 1 with…

Q: Below is a partially complete probability model. Enter the probability for the final outcome.…

A: Given that, The partially complete probability model is   Outcome 0 0.5 6 6.5 Probability  0.3…

Q: marketing research survey shows that approximately 80% of the car owners surveyed indicated that…

A: Given that n=5, p=80%=0.80, X~Binomial(n=5, p=0.80) X be the number of next car purchase will be…

Q: Determine whether the events are independent. When a coin is tossed three times, eight equally likel…

A: Data given Sample space =S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Q: 5. Draw the complement of each Venn diagram you drew in (4).

A:

Q: 5. A box contains 2 identical pistols. Pistol A contains 7 live bullets and 3 blank bullets while…

A: We have been told that there are 2 identical pistols that are marked as A and B. Pistol A contains 7…

Q: At the beginning of each year, my car is in good, fair, orbroken-down condition. A good car will be…

A: To answer this question, we need to compare the expected costs of replacing the car as soon as it…

Q: the hawaiian language has only 12 letters: the vowels a, e, i, o, and u and the consonants h, k, l,…

A: Given,Total no.of letters=12

Q: A geneticist conducts an experiment with beans, one sample of offspring consisted of 458 green beans…

A: Given that Total beans=458+162=620 Green beans=458 Yellow beans=162

Q: The following data give the physics lab scores of 24 randomly selected physics majors. Construct a…

A: Obtain the five number summary.   The five number summary is obtained below as follows :   From the…

Q: The sides of a fair die are numbered 2, 3, 3, 4, 4 and 5. The die is thrown twice and the outcomes…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer 1 question at a…

Q: d. If you randomly select six peanut M&M's, compute that probability that none of them are orange.…

A: We have given information, P(peanut M&amp;M's are brown)=0.12, P(peanut M&amp;M's are yellow)=0.15,…

Q: A multiple choice test consists of 12 questions, each question has three choices. If a student…

A: From the provided information, A multiple choice test consists of 12 questions that is n = 12 Each…

Q: Exercise 4. Let = {a,b,c,d} and define a probability measure on 22 by P(a) = P(c) = 1/6 and P(b) =…

A: c) To verify that E(X|Y) is a function of Y, we need to show that the value of E(X|Y) only depends…

Q: A random variable X has a distribution with probability function f(x) = k for x = 1, 2, ... (a) Find…

A:

Q: A test subject is randomly selected and tested for the disease. What is the probability the subject…

A:

Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: 7. From a 52-card deck, if you were handed six face cards, what is the probability you'd have two…

A: given data,n= 52 cards we have to find out the given probabilties.if you were handed six face cards…