A coin with unknown probability, θ of heads is tossed four times and you are told...
Suppose that a perfectly balanced coin has been tossed four times. Heads appeared on all four tosses. Then, on the fifth trial, what is the probability that head appears? 0 0.25 0.5 1
a fair coin is tossed three times. A. give the sample space B. find the probability exactly two heads are tossed C. Find the probability all three tosses are heads given that the last toss is heads
An unfair coin has probability 0.4 of landing heads. The coin is tossed seven times. What is the probability that it lands heads at least once? Round your answer to four decimal places. P (Lands heads at least once) -
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.
7.) Suppose that a fair coin is tossed 10 times and lands on heads exactly 2 times. Assuming that the tosses are independent, show that the conditional probability that the first toss landed on heads is 0.2. 8.) Suppose that X is uniformly distributed on [0,1] and let A be the event that X є 10,05) and let B be the event that X e [0.25,0.5) U[0.75,1.0). Show that A and B are independent.
A coin is tossed 10 times. a) How many different outcomes have exactly 6 heads? b) What is the probablility that we toss 6 heads? c) What is the probability that we toss at most 6 heads?
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 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?
A coin is tossed four times. You bet $1 that heads will come up on all four tosses. If this happens, you win $10. Otherwise, you lose your $1 bet. Find: P(you win) = P(you lose) = Average winnings, µ, =
A defective coin minting machine produces coins whose probability of heads is a random variable P with PDF peP, p [0,1], otherwise fp(p) A coin produced by this machine is selected and tossed repeatedly, with successive tosses assumed independent. (a) Find the probability that a coin toss results in heads. (b) Given that a coin toss resulted in heads, find the conditional PDF of P (c) Given that a first coin toss resulted in heads, find the conditional probability of...