a coin for 40 times and count the number of tails. The null hypothesis is that the coin is fair and the alternative hypothesis is that the coin is not fair. Please answer whether 6 tails or 18 tails has the smaller p-value and explain why this is so (Hint: when the null hypothesis is true, then we expect to have 20 tails after tossing the coin for 40 times).

Q: A car rental company randomly assigns one of its 6060 cars to a customer. 3.Of the 6060 cars, 44 of…

A: Probability of a customer assigned a red car = ( Favourable outcome )/(Total outcome ) i.e.

Q: Is it one tailed, or two tailed? I thought two because the hypothesis is non-directional

A:

Q: A gambler belives that he has learned to predict the color of a card befroe it is drawn from the…

A: As we are predicting the colur n=15 times,And the probability to guess correctly a colur is p=1/2 in…

Q: You are rolling two dice, what are your chances of winning If the two dice should have an equal…

A:

Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: When packaging a product, a manufacturer finds that one packet in twenty is underweight. Determine…

A:

Q: A committee executive board is to be selected at random from a group of 10 people; 5 women and 5…

A: Given: Number of women = 5 Number of men = 5 Total people = 10

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: John plans to toss a die until he observes two even numbers. What is the chance that the 2nd even…

A: For a dice roll the sample space is given by: S=1,2,3,4,5,6 so the probability of getting odd number…

Q: Consider rolling a 6-sided die. The outcome of interest is the number of dots that appears on the…

A: Rolling a 6-sided die, The possible outcomes are 1,2,3,4,5,6Since each of these is equally likely,…

Q: Assume you are totally unprepared for a quiz but you decide to take it anyway and just guess at all…

A: Given information:Sample size (n) = 12

Q: ed to see if they were going to the Football game or basketball game tonight. The probability that…

A: Total number of students who were going to basketball and men = Total number who will go to…

Q: You have a fair three sided die, a fair six sided die, and a fair twelve sided die in a bag. With…

A:

Q: A dice is rolled twice. What is the probability that the sum of the numbers obtained on the two…

A: GivenA dice is rolled twice

Q: Suppose you pay 2 pesos to play toss coins. For each 2 heads or 2 tails, you receive 4 pesos, else…

A: It is interpreted that, for every 2 heads or 2 tails (i.e., if both outcomes are equal), 4 pesos is…

Q: If the first urn has 7 blue balls and 3 red balls, the second urn has 7 blue balls and 3 red balls,…

A: To find the probability of drawing at most 2 red balls, we can calculate the probability of drawing…

Q: Consider dealing a five-card hand from a standard 52-card deck of cards. Compute the probability of…

A: We want to find the probability

Q: a fresh deck of 52 cards and observes its color, replaces the card, and then shuffles. He repeats…

A:

Q: Suppose two dice are rolled 3000 times and the sum of 11 occurs 120 times. What is the empirical…

A: Let A be the event such that sum on the dice is 11 Here we will use the formula Empirical…

Q: A gambler belives that he has learned to predict the color of a card befroe it is drawn from the…

A:

Q: Assume that you are rolling two regular dice.  The first one is red; the second one is green.  In…

A: When we rolled pair dice of different colours So total no. of possible outcomes will be 62 =36.…

Q: You have a fair three sided die, a fair six sided die, and a fair twelve sided die in a bag. With…

A: Given:  A fair three sided die, a fair six sided die, and a fair twelve sided die in a bag.

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: Suppose we flip a fair coin 20 times getting 6 tails and 14 heads. Find the probability of having no…

A:

Q: A gambler belives that he has learned to predict the color of a card befroe it is drawn from the…

A:

Q: A gambler belives that he has learned to predict the color of a card befroe it is drawn from the…

A:

Q: what is the probability of passing the test

A: Let , X be the number of correct answers. Since , each question has four choices.  Therefore , the…

Q: A letter is known to have come either from LONDON or CLIFTON. On the postmark only the two…

A:

Q: A couple plans to have four children. The father notes that the sample space for the number of girls…

A: Given information- We have given that, a couple plans for 4 children. The sample space for the…

Q: Please solve both questions. Do not answer if you can't answer both. Show all steps. 1. Three cards…

A: Given: Number of cards in the deck = 52

Q: Two neoprene gaskets are selected from a big lot. The probability of obtaining 1 nonconforming unit…

A: Given, Let X be no of nonconforming units P(X = 1) = 0.35 P(X =2) = 0.15

Q: Ruth tells you that when you roll a pair of fair dice, the probability of obtaining a pair of…

A:

Q: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he…

A: Given that, Average 10 calls (μ=10)Here, we can use Poisson distribution

Q: suppose you roll a pair of dice until you get a double-six. What is the smallest number of times…

A: A die consist of 6 numbers ranges from 1 to 6 in which 1 is the smallest and 6 being the height…

Q: -Write down the population regression line. -Consider changing X2 while holding X1 constant. Write…

A: A population regression line specifies the true relationship between the variables.  Sample…

Q: Suppose 57% of the students at UNCG are female. What is the probability of getting 40 or fewer males…

A: From the provided information, 57% of the students at UNCG are female. Probability of male student…

Q: What is the probability of flipping a quarter four times and it landing on Tails each time? Leave…

A: The outcomes of flipping a quarter are {Head, Tail}.

Q: A number is drawn at ramdom from a box. There is a 20% chance for it to be less than 10. There is…

A: A number is drawn at ramdom from a box. There is a 20% chance for it to be less than 10. There is…

Q: Due to current pandemic we are having online classes, Harish is also having online classes. He is…

A: To find the probability that he knows the answer to the question (given that he correctly answered).…

Q: Please solve the following attached questions in section 4 which is "The project", first section…

A: Sure, I can guide you through these questions.Plotting the ROC curve and calculating the AUC (Area…

Q: In a large population, 55% of the people have been vaccinated. If 5 people are randomly vaccinated…

A: