Consider tossing four, eight-sided (numbered 1 through 8) dice, Assume the dice are fair. Note that all the values below have been rounded to five decimals. a. What is the probability of getting the values 2, 3, 4, and 5 in any order? (Some examples: 5 2 3445231 A. 0.01543 OB. 041016 C. 0.02344 D. 0.00586 OE. 0.00024 b. What is the probability that all the dice show different numbers? (Some examples: 517312451 OA. 0.41016 B. 0.99805 OC. 0.00195 OD. 0.09259 E. 0.01709 c. What is the probability of getting two doubles in any order? [Some examples: 1313:4422) OA. 0.08203 OB. 0.01367 OC. 0.23148 D. 0.00684 OE. 0.04102

Q: A- Explain the following • Random Experiments. • The Variance of data. Bayes' Theorem.

A: 1. Random Experiments: A Random Experiment is an experiment, trial, or observation that can be…

Q: If one student is chosen at random from those who took the test, Find the probability that the…

A: It is given that the grades and gender of a group of students is given in the table.

Q: An experiment consists of rolling two fair dice and adding the dots on the two sides facing up.…

A:

Q: evin flipped a coin 450 times. His results are below. Heads Tails 240 210 xpress each probability in…

A:

Q: You roll a blue and a green die. If the sum of the two dice is 6, what is the probability that the…

A: The sample space of the sum of two dices is

Q: What's the probability of getting exactly two heads in three coin tosses? A.1/8 B.1/4 C.1/2…

A: given data ,here we have to find out the probabiltty of  getting two heads  in three  tossestotal…

Q: Sixty-five percent of men consider themselves knowledgeable football fans. If 14 men are randomly…

A: given p=65%=0.65 , n=14  P(X=3)=? X~Bin(n=14, p=,0.65)

Q: The type and number of fish caught in the Charleston Harbor in March was recorded for a month. The…

A: From the provided information, The number of fish caught in March: Flounder Red Drum Black…

Q: Answer rounded to 4 decimal pla

A: To find the probability that the 3 dogs are all side by side when arranging 14 animals (including 3…

Q: Suppose you are throwing a pair of fair dice. Each die has 6 sides numbered 1 through 6. If you…

A: The study is about throwing a pair of fair dice. The multiple of the value of each die after…

Q: Suppose you have a loaded die that gives the outcomes 1 through 6 according to the probability…

A:

Q: What is the probability that at least 3 of them are met? Select one: a. 0.92 b. 1 c. 0.5 d.…

A:

Q: A class consists of 70 women and 20 men. If a student is randomly selected, what is the probability…

A: Given A class consists of 70 women and 20 men. Here, a student is random selected. Total Number of…

Q: 14. How many different arrangements are there of all the letters in the word PINEAPPLE? a. 362 880…

A:

Q: Part-time Full-time Total No Gym Membership 16 48 64 Gym Membership 11 55 66 Total 27 103 130   A…

A: The given summary table is, The probability that the student has a gym membership and they are part…

Q: People enter a coffee shop at a rate of 1 person every 3 minutes. What is the probability that no…

A: Let X denote the number of people who enter the coffee shop and X ~ Poisson (λ) We have λ = 1 person…

Q: 7. Five cards are drawn from a standard 52-card deck. What is the probability that the first two…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Answer the Following Question Probability of rolling a 2 when a dice is tossed.

A:

Q: A game is played with a pair of tetrahedral (four-sided) dice. Each die has faces numbered 1, 2, 3,…

A: Pair of tetrahedral dice.Each die has faces numbered 1,2,3,4

Q: Suppose you flip a coin and then roll a die. You record your result. What is the probability you…

A:

Q: A group of citizens were asked what kind of vehicle they like to drive. The results are summarized…

A: Given that contingency table. Now using this table find required probability.

Q: Find the indicated probability. Recent statistics show that 62% of people wash their hands after…

A:

Q: You have a fair coin that you toss ten times. The probability of getting exactly four heads in ten…

A: Toss a fair coin 10 times. n = 10 P(head) = P(tail) = 0.5X = Number of heads obtainedP(x=4) = ?

Q: After giving a test to a group of students, below is the summary of grades by gender. A B C Total 4…

A: Given data table is,ABCTotal Male1441634Female 8172045Total 22213679

Q: After giving a test to a group of students, below are the summary of grades by gender. А Male Female…

A: Total = 67Total earn a B = 15

Q: Answer the Following Question Probability of rolling a 11 or 12 when given two dice.

A:

Q: 7. Five cards are drawn from a standard 52-card deck. What is the probability that the first two…

A: Sample  size(n)=10p=probability of successes =0.80q=1-pq=1-0.80=0.20A random variable XBinomial(n=10…

Q: Compute the probability that a five-card poker hand is dealt to you that contains 4 Aces. Question…

A: Here,We have to find the probability that a five-card poker hand is dealt to you that contains 4…