Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. What are the possible values of X?O 1, 2, 3, 4, ...O 0, 1, 2, 3O 0, 1, 2, 3, 4, ...O 0, 1, 2, 3, 4O 1, 2, 3, 4For the following possible outcomes, give their associated X values.PIN103020427257associatedvalueD

The random variable X represents the number of nonzero digits in a randomly selected 4-digit PIN…

Answered: Let X = the number of nonzero digits in…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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ANSWER ALL PARTS OR I WILL DOWN VOTE THUMBS DOWNThere are 5 red, 5 blue, 6 yellow and 4 green balls in an urn. We are looking for the probability of having drawn 3 red balls with 5 balls drawn, if removeda) with replacement andb) without replacing Further sought is the probability of drawing the order red, blue, red, blue and red, if removedc) with replacement and d) without replacing.
sen? 2. A poker hand consists of 5 cards chosen at random from a standard deck of cards. How many poker hands containing all face cards are possible? 3. Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? a. 5 people regardless of gender b. 3 females and 2 males c. at least 3 females d. 4 females and 1 male e. 5 females 4. In a game of poker, a full house is a combination of 5 cards chosen from a standard deck of cards with three of a kind and two of a kind. How many full houses are possible?
Count the number of ways to get 12 by the 5-dice, i.e., to represent 12 = x₁ + x₂ + x3 + X4 + X5, where 1 ≤ x ≤ 6 (1+2+3+4+3 is different from 2+1+3+3+4).
4.66 What are the outcomes of the following R commands? a. pbeta(0.6,1,1)-punif(1,0,2) b. pgamma(2,1,2)-pexp(2,2) c. pnorm(1,1,4)+qunif(0.6,1,2) d. qbinom(0.5,12,0.5)
A company has hired a team of computer programmers. Let U be the set of all team members where U = {Amy, Bob, Cam, Deb, Eli, Flo, Gil, Hal}. %3D Let J be the set of members on the Java team where J = {Amy, Flo, Gil, Hal}. Let P be the set of members on the Python team where P = {Bob, Deb, Gil, Hal}. Let S be the set of members on the Swift team where S = {Eli, Flo, Hal}. %3D List the team members in the set (J U S) N P'. O A. (Flo} . (Amy, Eli, Flo} OC {Amy, Cam, Eli, Flo} D. {Amy, Eli, Flo, Hal} O E. {Amy, Cam, Eli, Flo, Hal) F. none of these Reset Selection
Suppose a family uses a lock-in their home that opens by using a lock code that is a product of two numbers, one from a set, P = {2, 3, 4, 5, 9} and another from set Q = {1, 2, 6, 7}. Now consider all the possible combinations of numbers from the given two sets and find the probability that lock will open up by entering a number multiple of 6.
If a person draws a playing card and checks it’s suit and then spin a three-space spinner, describe the sample space of possible outcomes using C, D, H, S for the card outcomes abs 1, 2, 3 for the spinner outcomes.
Use the following information to answer the next question. For the set of numbers 1 to 20 inclusive, Theresa knows that some numbers are divisible by 3 and some numbers are even. She is going to write each number on a ball and place them in a box. a. Model this set using a Venn Diagram. ( b. If one ball Is randomly selected from the box, what is the probability that the number written on it is divisible by 3 or is an even number?
2. Suppose that B = {1,3, 4}, B2 = {2,3, 5}, Ba = {1,2,5}, B4 = {3,4,5}, Bg = {1,2, 4} are subsets of {1,2,3, 4, 5}. Do the sets (B1, B2, B3, B4, Bg) have a SDR?. %3D
A card game contains 52 cards where 13 are of hearts, 13 are spades, 13 are clubs and 13 are diamonds. What is the minimum amount of cards that we would need to pull to get at least 6 cards of the same symbol?
a) There are 6 balls in the bowl, of which 0 is white and the rest black. Person A has no knowledge of how to make balls the colors are determined, so according to his preconception all options (0,1,2,3,4,5,6) for 0 are equal likely. The person B picks up the ball from the bowl at random, returning it to the bowl and says the color is black. B repeats this one more time and says the color is black again. Person A does not know person B. Person A tries to figure out the number of white balls in the bowsl using Bayesian inference. Express by listing the values or, if desired, also by the formula i) the prior distribution of from the perspective of person A, ii) likelihood function the person A uses, iii) the person A' posterior distribution for 0. What is the most probable value of from the perspective of person A after making the observations? b) Continuation: The person C is listening the same experiment, without seeing the bowl either. Person C happens to know person B and knows that…

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