show work please 10. When a fair die is flipped 72,000 times, find the lower bound...
Use Chebyshev's Inequality to get a lower bound for the number of times a fair coin must be tossed in order for the probability to be at least 0.90 that the ratio of the observed number of heads to the total number of tosses be between 0.4 and 0.6. Let X be a random variable with μ=10 and σ=4. A sample of size 100 is taken from this population. Find the probability that the sum of these 100 observations is less...
1. A fair coin is flipped four times. Find the probability that exactly two of the flips will turn up as heads. 2. A fair coin is flipped four times. Find the probability that at least two of the flips will turn up as heads. 3. A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was equal to 3. 4. A six-sided dice is rolled twice. Find the probability that the larger of...
a fair die is rolled 8 times. Find: (Please give an explanation for both answers. I'm unsure how to approach the questions) b) what is the probability the die lands on an odd number at least 2 times c) what is the probability the die lands on a 6 at most twice
Problem 8 A fair die is rolled 10 times. What is the probability that the rolled die will not show an even number?
What is the probability of getting 2 heads when a fair coin is flipped 4 times?
PLEASE SHOW EACH STEP- SHOW THE PROBABILITY WITH FRACTIONS A fair six-sided die has faces numbered 1 through 6. A) What is the probability that the die would be rolled 3 times in order to get the first 2? B) What is the probability that the die would be rolled 4 times in order to get the first odd number?
1.4-19. Extend Example 1.4-6 to an n-sided die. That is, suppose that a fair n-sided die is rolled n independent times. A match occurs if side i is observed on the ith trial, (a) Show that the probability of at least one match is n-1 (b) Find the limit of this probability as n increases without bound
9. A fair die is thrown 1200 times (independently). Consider the number of sixes thrown. a) Compute approximately the probability that at least 181 and at most 249 times the number 6 occurs. b) Show that the probability of having at least 151 and at most 249 times the number 6 thrown exceeds 93%.
Assume a fair coin is flipped 3 times. Probability of getting heads is .5..Use the normal approximation method (and relevant standard normal table) to solve by hand for the probability of obtaining 2 or more successes of getting heads in this situation. Show your work.
A fair die is rolled 10 times. What is the probability that an odd number (1, 3 or 5) will occur less than 3 times? A. .0547 B. .1172 C. .1550 D. .7752 E. .8450