There are three doors, and only one has a big prize. You are asked to choose one, and you do. The probability of choosing the big prize is, of course, 1/3. That means that there is a 2/3 chance that you chose the wrong door.
Now you are given the chance to change your choice. Your original choice had a probability of being the big prize at 1/3. The other two doors combined had a probability of 2/3 combined. However, one of those two doors was already shown to you as the not-selected door with no big prize. That means that the remaining other doors now holds the probability of the two doors. That is, the remaining not-selected door has a 2/3 probability of being correct.
Find the probability if you change your choice in the "Price is right" gane show given...
In a state’s Pick 3 lottery gane, you pay $1.01 to select a sequence of three digits (from 0 to 9) such as 899. If you select the same sequence of three digits that are drawn, you win and collect $254.53. Complete parts A through D. A) How many different selections are possible? B) What is the probability of winning? C) If you win, what is your net profit? D) Find the expected value.
PLEASE SHOW DETAILED STEPS. THANK YOU. 1. A random variable X has a normal distribution N(5,3.5). Find P(X>0) 2. A random variable Xhas an exponential distribution Exponential (2.5). Find P(X < 0.75) Show the calculator input for your answer. 3. Mary is looking for someone with change of $1. She estimates that each person she asks has a 25% probability of having the right change. What is the probability that Mary will have to ask at least four people in...
Using your programming language of choice, write a program that will ask for: Probability of A Probability of B Probability of B given A and will then output the probability of A given B using Bayes Theorem. You can prompt for input anyway you like (command line, GUI, website, etc), and return the result any way you like (command line, GUI, website, etc).
3. In a TV show the contestants are given multiple choice questions with 5 possible answers. Suppose that there is a 75% chance the contestant knows the answer. If they don't know the answer they guess it with a 30% chance of getting it right. What is the probability that they are guessing?
please show complete work
25) Use a triple integral in the coordinate system of your choice to find the volume of the solid in the first octant bounded by the three planes y =0 z 0, and z 1-x x y2. Include a sketch of the solid as well as appropriate projection and an Hint: for rectangular coordinates, use dV might not be given in the exam dz dy dx. This hint
25) Use a triple integral in the coordinate...
The Game: Suppose you're on a game show, and you're given the choice of 3 doors. Behind one door is a car, behind the others, goats. You start by choosing a door, say number 1, which remains closed for now. The game show host, who knows what's behind the doors, opens another door, say number 3, which reveals a goat. He says to you, "You've already chosen door number 1, now that I've shown you a goat behind door number...
Please write clearly and show work. Thanks!
Find the average rate of change for the given function f(x)x+11x between x0 and x 5 The average rate of change is (Simplfy your answer.)
Show that the function on the right is a probability density function on [0, 0); then find the indicated probabilities. if O sxs 2 f(x) = 128 5, if x > 2 375, Choose the procedure below that you would use to show that f(x) is a probability density function on [0, 0). O A. Show that f(x) 20 on the interval and that the integral of f(x) from 0 to o equals 1. B. Show that f(x) > 0...
A multiple-choice exam offers five choices for each question. Jason just guesses the answers, so he has probability 1/5 of getting any one answer right. One of your math major friends tells you that the assignment of probabilities to the number of questions Jason gets right out of 10 is (rounded to three decimal places):What is the expected number of right answers Jason will get if the test has 10 questions? A) 5 B)2.282 C) 2.493 D) 3.5 E)Can't tell...
4 0.0256 Find the indicated probability. 5) A multiple choice test has 8 questions each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? Use the Poisson Distribution to find the indicated probability. 6) The town of Fastville has been experiencing a mean of 59.4 car accidents per year. Find the probability...