Problem. Graph a sample space for the experiments: Tossing a coin until the first Head appears
A fair coin is flipped until the first head appears. Let X= the total number of times the coin is flipped. Find E(x). Hint:if the first flip is tails, this "game" restarts.
1. (a) What is the sample space S for flipping a coin until you get a head or 4 consecutive tails? Write down your sample space by listing the elements. (b) An experiment involves tossing a pair of dice, one green and one red, recording the numbers that come up. These are special dice. Each die has only 5 sides and are labeled with the numbers 1, 2, 3, 4, 5. Let r be the outcome on the green die...
An experiment consists of tossing a fair coin (head H, and tail T) three times. The sample space S in this experiment is S = {H, T}, and a possible event E could be E = {H,H}. (1) True. (2) False.
Amanda, Becca, and Charise toss a coin in sequence until one person “wins” by tossing the first head. a) If the coin is fair, find the probability that Amanda wins. b) If the coin is fair, find the probability that Becca wins. c) If the coin is fair, find the probability that Charise wins. d) The coin is no longer fair. The probability that the coin comes up heads on an individual toss is p, for 0<p<1. Plot each players...
all questions please
1. (a) What is the sample space S for flipping a coin until you get a head or 4 consecutive tails? Write down your sample space by listing the elements (b) An experiment involves tossing a pair of dice, one green and one red, recording the numbers that come up. These are special dice. Each die has only 5 sides and are labeled with the numbers 1, 2, 3, 4, 5. Let r be the outcome on...
7. A random experiment consists of tossing a coin 4 times. Describe the sample space of this experiment. In what proportion of all outcomes of the experiment will there be exactly 2 heads?
Create the sample space for tossing 4 coins at one time. Using the sample space for tossing 4 coins, what is the probability of tossing only one head on a toss?
An experiment consists of first rolling a die and then tossing a coin: a. How many elements are there in the sample space? b. Let A be the event that either a 1, 2, 3 or 4 is rolled first, followed by landing a tail on the coin toss. P(A) = Present your answer as a decimal rounded to four decimal places.
If an experiment consists of tossing a coin, throwing a dice, and then selecting a vowel at random from all the alphabets, how many sample points are there in the sample space? What is the probability of obtaining a head, 6, and "e"?
A coin with probability p is tossed until the first head occurs. It is then tossed again until the first tail occurs. Let X be the total number of tosses required. 1) Find the distribution function of X. 2) Find the mean and variance of X.