Suppose p(x,y)=xy^2/30, x = 1, 2, 3, y = 1, 2 is the joint pmf of X and Y. Determine P (Y = 2). a) 1⁄6 b) 5⁄6 c) 1⁄2 d) 1⁄3 e) 4⁄5

Q: Assuming boys and girls are equally likely, find the probability of a couple having a baby boy when…

A: Given The data is as follows: Birth of boys and girls are equally likely.

Q: A new computer user creates a password consisting of one letter followed by a one-digit number (0 –…

A: Given data: The total number of digits is n=10. The total number of the alphabet is A=26.   The…

Q: Question 32. There are 8 socks in your drawer: 4 black and 4 red. You take 3 of them with you in the…

A: There are 8 socks in your drawer: 4 black and 4 red.  Total possible outcome is…

Q: In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. a)…

A: In a standard American roulette wheel, there are a total of 38 spaces, including the numbers 1 to…

Q: Two n sided die are cast. Each faces are numbered from 1 to n. One die is red. one is blue. What is…

A:

Q: A fair die has 12 sides and they are labeled 1, 2, 3, …, 12. All answers should be in fraction form.…

A: We have given that,  A fair die has 12 sides and they are labeled 1, 2, 3, …, 12 = ?

Q: Suppose events B and C are independent with P(B) = 1/4 and P(C)= 1/6 A.) Evaluate P(B or C). State…

A:

Q: Let Event A = crime is a homicide and Event B = crime committed between midnight and 12:59 AM.…

A: Given: Let Event A = crime is a homicide Event B = crime committed between midnight and 12:59 AM.

Q: If two cards are drawn without replacement from an ordinary deck, find the probability of a queen…

A: Brief answer is given below.

Q: Suppose that a pair of dice are thrown.  Let A = “the first die is a 3”, let B = “the sum of the…

A: Given that  Pair of dice rolled  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4)…

Q: A biased die is such that the probability of rolling a 6 is equal to 0.4. The die is rolled 8 times.…

A:

Q: A company has determined that 2 out of every 5255 bolts that it ordered is defective. What is the…

A: The number of defective bolts is 2 out of 5255 bolts.

Q: Lesson 15: Problems involving Sampling Distribution of Sample Mean Problem Solving: Solve each…

A:

Q: B) are disjoint, what is the probability of their union? a.) P(A) + P(B) b.) P(A)P(B) c.) 0 d.)…

A: As given that events A and event B are disjoint. It is asked to find the probability of their union.

Q: 1. Suppose a die is tossed twice. Define S2 Let Pmn be the set of outcomes where m dots appear on…

A: Given Information: A die is tossed twice. Ω=x,y|x,y ∈ 1,2,3,4,5,6 Pmn is the set of outcomes m…

Q: A biased die is such that the probability of rolling a 6 is equal to 0.4. The die is rolled 8 times.…

A: The sample size n is 8 and p=0.4.

Q: Q. 2) Find the prob. of getting a total of 11: a) once b) twice, in two tosses of a pair dice? "

A: Q.2   A pair of fair dice is rolled then the sample space S:     {(1, 1), (1, 2), (1, 3), (1, 4),…

Q: Assume that two balls are drawn without replacement from a box with 5 blue, 7 white, and 3 red. Find…

A: We have given that Number of blue balls = 5  Number of white balls = 7  Number of red balls = 3…

Q: What is the probability that rolling a regular six-sided die two times has at least one occurrence…

A: given data  roll a six sided die two times. find P(atleast one 5) = ?

Q: to get the 7 macrostate?

A: here rolling two dice at at a time and add thier outcomes to get macrostate

Q: A box contains 8 red balls, 4 green balls, and 2 blue balls. You pull 2 balls from the box (one at a…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Congrssional terms is shown as follows :given the summary from the 112th congress of senators whose…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: We have 2 red balls 1 blue ball 2 white balls   Total balls=5 Let R= Red , B= Blue , W= White…

Q: Suppose that a family has 3 children. Also, suppose that the probability of having a girl (based on…

A: family has 3 childrens P(boy)=P(girl) = 12P(family has no girl) = ?

Q: If a single 10-sider die is tossed once, find the probability of rolling a 8 or a 9. The probability…

A: The total number on a 10 sided die = 10 Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Q: a) A die is thrown. Find the probability that the dots on the top are prime number or odd numbers.

A: It is given that , a die is thrown so the total outcomes that can occur are 1, 2 , 3 , 4 , 5 ,6.…

Q: For the experiment of rolling a single fair die, find the probability of being odd or divisible by 3

A: The experiment is rolling a single fair die. The sample space of the experiment is as follows,…

Q: A single, six-sided die is rolled. Find the probability of rolling an even number or a number less…

A: Addition rule of probability:Addition rule of probability indicates the happening either of the…

Q: If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum…

A: Solution-: We want to find the probability that the sum of the dice is 9, given that the sum is…

Q: Event E: Being a lifeguard; Event F: getting a suntan         b)  Event E and F are independent or…

A: Since we know that Independent events : The outcomes of first events does not affect the outcomes of…

Q: A single die is rolled twice. Find the probability of rolling an even number and a number greater…

A: If m is the probability of a event to be success and if n is the probability of another event to be…

Q: I Q3) Find the complement of each event: a) Rolling a six-sided die and getting a number smaller…

A: Event includes all the possible outcome of an experiment. Complement of event is the observation…

Q: You are given a circular piece of wire with radius r. You cut it into 3 pieces randomly. Find the…

A: let us assume that the length of rope is 1 m. We choose two points on the rope. Let us take X<Y…

Q: Suppose a single fair die is rolled. Find the probability that it is a 2, given that it is an odd…

A: Suppose a single fair die is rolled.We have to find the probability that it is a 2, given that it is…

Q: A and B be two events such that 4c 8, then P(408)- This question consists of 11 paragraphs. In each…

A:

Q: Suppose a single fair die is rolled. Find the probability that it is an even number, give The…

A: If fair die are rolled then the sample space (S) is,  S = { 1, 2, 3, 4, 5, 6 } Then, We will find…

Q: Two balls are drawn in succession out of a box containing 2 red and 2 white balls. Find the…

A: Let p be the probability that a ball is red. Then p = 2/4 = 0.5 Let X denotes the number of red…