In rolling a dice 300 times we get 57 ones, 62 twos, 48 threes, 47 fours, 53 fives and 33 sixes. We wish to determine whether the dice is fair. What is the test statistic value for the goodness-of-fit test in this case?

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

A:

Q: Suppose you throw a fair die and flip a fair coin.  Let’s represent the outcomes of 3 on the die and…

A: 1) Let us denote H=head and T=tail So the other outcomes are 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T,…

Q: Need the math behind it

A: The objective of the question is to determine the sample space and calculate the probabilities of…

Q: You have the green and red dice. 1. What is the probability that the dice show the same numbers? 2.…

A: There are two dices green and red. The set showing number of events is, S=1, 1, 1, 2, 1, 3, 1, 4, 1,…

Q: What is the probablity of rolling a 2 or a 4 on a dice?

A: a dice have 6 sides  all outcomes are equally possble s : {1,2,3,4,5,6}   p(roll 2 or 4) = ?

Q: Are the two events in each scenario mutually exclusive or not? Explain. c) Rolling a sum that is…

A:

Q: Two fair dice (one red, one green) are rolled and what is observed is the faces that face up. a.…

A: It is given two fair dice are rolled (one red, one green).

Q: A box contains 6 green balls, 4 yellov balls and 2 black balls. If a ball i drawn at random from the…

A: Number of favorable events = Number of green or yellow balls = 10   Number of unfavorable events =…

Q: When flipping a coin, two outcomes are possible, such as head and tail. what is the sample space ?

A: GivenA coin is flipped one time

Q: A student has a 30% chance of getting a particular professor for a class. What are the odds of…

A: From the provided information, There is 30% chance a student getting a particular professor for a…

Q: Two six-sided dice are rolled. What is the size of the sample space that corresponds to the event…

A: The solution is as follows,

Q: 2 An experiment involves the tossing of a pair of dice, 1 green and 1 red, and recording the numbers…

A: Given: Let us consider that tossing a green and a red die and recording the numbers that appear on…

Q: In rolling a pair of fair dice, what is the probablity of rolling a sum of ten?

A: The provided information is  The rolling a fair dice. The sample space is…

Q: Pablo randomly picks four marbles from a bag of nine marbles (five red ones, three green ones, and…

A: Given,no.of red marbles =5no.of green marbles=3no.of yellow marbles=1total n.of marbles =9

Q: A pair of dice is rolled. a.  What is the probability that a number is both even and less than 8?…

A: The total possible outcome rolling a pair of dice = 36 The possible outcome that a number is both…

Q: A jar contains 2 red, 4 green, 5 blue, and 5 yellow marbles. If a single marble is chosen at random…

A: Sample space = { 2 red marbles, 4 green marbles, 5 blue marbles, 5 yellow marbles } Number of…

Q: In the experiment of rolling two red and black dice at once, find the following: 1. Find the sample…

A: Given Information: Two dice are rolled at once. 1) To find the sample space: When two dice are…

Q: n experiment consists of rolling two 6-sided dice and observing the numbers on the top of the dice.…

A: roll a two six sided dice.  observe the numbers on the top of the dice.  number of outcomes in…

Q: 1. 66 students were surveyed about pet ownership. They were asked if they own a dog or cat. 24 said…

A: Venn diagram helps to visualize the finite groups. It explains the similarity and dissimilarity…

Q: Three different colored, eight-sided dice are rolled, and the numbers showing are recorded. How many…

A: There are three different colored dice The dice are eight-sided. The outcomes of the eight-sided die…

Q: In an event, 1500 fans of SVT gathered to show their support for the group. 450 of them are from…

A: VIII Given : If two distinguishable dice is rolled then possible sample space:…

Q: What is the probability if you randomly select a handful of 4 candy pieces you will pick one of each…

A: Solution: From the given information, there are 5 brown candy pieces, 7 blue candy pieces, 3 red…

Q: What are the odds in favor of randomly drawing the letter s from the letters in the word…

A: Given word is "Mississippi"Total no.of letters in the word=11No.of "s" in the word=4

Q: A sample space consists of 4 sample events: A,B,C,D. Which events comprise the complement of A? Can…

A: A sample space consists of 4 sample events: A,B,C,D

Q: What is the probability of rolling a sum of 6 on a standard pair of six-sided dice? Express your…

A: If a pair of six sided die is rolled then the possible out comes…

Q: The sum of the probabilities of the outcomes in the sample space is 1. O True O False

A: Solution is  True

Q: 4. The following independent spinners were spun simultaneously. What are the odds in favor of…

A: Define the events, A : spinning a prime number in disk 1 B : spinning a G in disk 2

Q: 1. 66 students were surveyed about pet ownership. They were asked if they own a dog or cat. 24 said…

A:

Q: As we know, a regular 6 sided die that is standard has different #s from one through six on its…

A: As per bartleby policy I answered the first two sub parts

Q: How many outcomes are there in the sample space?

A: While tossing a fair coin, there are 2 possible outcomes in sample space:- {Head, Tail}.

Q: ow many outcomes would there be in the sample space for rolling 3 dice and flipping 3 coins?

A: Given that, we are rolling 3 dice and flipping 3 coins. Total outcome in 1 dice is 6. Total outcome…

Q: What is meant by "picking random numbers"?

A: A random number is, as the name implies, a number that is selected at random from a group of…

Q: Suppose you throw a fair die and flip a fair coin.  Let’s represent the outcomes of 3 on the die and…

A: 1) Let us denote H=head and T=tail So the other outcomes are 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T,…

Q: 1. You throw a fair dice twice. Describe the sample space. What is the probability that the sum of…

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Q: The image shows all the cards that can be found in a standard deck. What is the probability of…

A: See the attachment