You have been given an experiment to toss 3 coins.

Q: How can you determine if you need to use a combination or permutation to count the number of…

A: When we consider the arrangement of r distinct objects from n objects, we will use Permutation. Then…

Q: If you roll two dice 20 times, how often should you get an odd number with the first and an even…

A: total outcomes =36

Q: You throw a six-sided dice five times.  On average, how many times out of five do you expect to…

A: throw six sided dice five times.  E(roll greater than three) = ?

Q: Research has shown that the first thing that 56% of Americans write when they receive a new…

A: Solution: Given information: n = 40 Sample size of  conference participates x= 24  conference…

Q: there are two baskets, in the first, 4 red , 8 white balls, in the second 7 red and 6 white balls,…

A: Two basket 1: 4red+8white = 12 balls 2: 7red+6white = 13 balls Probability = favorable/total

Q: A casino roulette has 38 number outcomes 18 are Red, 18 are Black and 2 are Green for the house.…

A:

Q: A coin is tossed five times. What is the probability of getting 3 tails in these five tosses? Enter…

A:

Q: you roll two fair dice. How many ways are there for the sum of the dice to be less than 6?

A: On rolling two dice, let X be the sum of the outcomes. The all possible values of X is…

Q: Imagine that your ATM card had a 4 digit code, but you can only choose from 7 options, i.e. the…

A: Given: ATM card had a 4 digit code and had numbers from 1-7. The repetition of digit is allowed.

Q: Describe about the Coin-Tossing Example.

A: The formula for probability is given as

Q: There are 28 students in a class taking a test. What is the chance you can guess correctly who is…

A: Given information: It is given that there are 28 students in the class taking the test.

Q: The test you conducted is one tail or tep tail

A: The given claim is, to test the mean BMI of US adults in the current year is lower than the mean BMI…

Q: Professor Ramos will participate in a lottery that will be played by 165 participants. He buys a…

A: The question is about expected value.Given :Total no. of participants = 165Cost of ticket =…

Q: I have 7 trials instead of 5 trials. I have at least three successes. What would my answer be

A: We have given that Given that p = 0.3 q = 0.7 n = 7 Here we will use binomial distribution because…

Q: You throw a six-sided dice six times.  On average, how many times out of six do you expect to…

A: You throw a six-sided dice six times.

Q: When two balanced dice are rolled, there are 36 possible outcomes.   Find the number of the sum is a…

A: The maximum sum= 12 for (6,6) And the minimum sum=2 for (1,1) So, in 2 to 12 the multiple of 3 are…

Q: The average person spends over 5 years of his or her life on social media. State the null and…

A: The average person spends over 5 years of his or her life on social media.  Here we use hypothesis…

Q: A lock consists of 2 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Experiment : Guessing the combination Event: Guessing the right combination.

Q: What is the probability of flipping one head and three tails when flipping a coin four times?

A: Given: A coin flipped four times. Number of total outcomes = 24 = 16

Q: Suppose you flip two coins. What is the probability of getting at most one heads? Give your answer…

A: The sample space is {HH, HT, TH, TT}.

Q: Suppose you flip eight fair coins   What is the probability of flipping less than three heads? What…

A: Introduction:If X ~ Bin (n, p), then the probability mass function of X is:p (x) = (nCx) px (1 – p)n…

Q: An experiment consists of tossing a fair coin 3 times. Find the probability of getting at least two…

A:

Q: A young child is trying his hand as a magician. He approaches you and says, "Pick a card, any card."…

A: Introduction: It is required to choose the correct option.

Q: Suppose you flip two coins. What is the probability of getting at most one heads? Give your answer…

A: Given:- flip two coins. n=2 total outcomes =s=HH, TT, HT,TH =4We have to find the probability of…

Q: How many chances of winning a lottery game where 4 numbers are picked from 20 numbers?

A: According to the given information in this question We need to find 4 numbers are picked from 20…

Q: that time of year again at Isaac’s Fireworks Store! New Year’s! Sale! Sale! Sale! However, Isaac is…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.