1. A coin is tossed ten times. Find the probability of getting six heads and four...
If a fair coin is tossed 10 times, what is the probability of getting all heads? Express the probability as a simplified fraction. -19
A fair coin is tossed until heads appears four times. a) Find the probability that it took exactly 10 flips. b) Find the probability that it took at least10 flips. c) Let Y be the number of tails that occur. Find the pmf of Y.
A six-sided die is rolled and a coin is tossed. The probability of getting a tail on the coin and a 2 on the die is 8.3%. Is this an example of a theoretical or empirical probability? a. Theoretical b. Empirical
A fair coin is tossed 6 times. A) What is the probability of tossing a tail on the 6th toss given the preceding 5 tosses were heads? B) What is the probability of getting either 6 heads or 6 tails?
The probability of getting heads from throwing a fair coin is 1/2 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur? 1/4 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a head? 3/8 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a tail? 1/8 The...
A fair coin is tossed 9 times.(A) What is the probability of tossing a tail on the 9th toss, given that the preceding 8 tosses were heads?(B) What is the probability of getting either 9 heads or 9 tails?(A) What is the probability of tossing a tail on the 9th toss, given that the preceding 8 tosses were heads?(B) What is the probability of getting either 9 heads or 9 tails?
If a fair coin is tossed n times, show that the probability of getting at least k heads is
A coin with unknown probability, θ of heads is tossed four times and you are told that heads appeared fewer than 2 times. That's all you know. Compute the probability that a next toss will be heads assuming a uniform prior for θ.
Consider a coin with probability q of landing on heads, and probability 1−q of landing on tails. a) The coin is tossed N times. What is the probability that the coin lands k times on heads. b) The coin is tossed 100 times, and lands on heads 70 times. What is the maximum likelihood estimate for q?
e. A coin is tossed three times, then the probability of getting two heads is (3 marks) f. The value of a from the equation 2163-a = 36° is (3 marks) g. The Graph of function: f(x) = et is (3 marks) h. Combine the following expression 3(log) 2 + logot) is_ (3 marks) i. If the mean (x) of the following data (2 8 4 4 x 10 ) is 5 then the mode is__ (3 marks) j. From...