2. Binomial Distribution Suppose I have an unfair coin, it lands on heads 75% of the...
2. Binomial Distribution Suppose I have an unfair coin, it lands on heads 75% of the time. If I flip this coin four times, what is the probability that I will get only 1 heads? What is the mean for number of heads? Variance? Standard Deviation?
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2. Binomial Distribution Suppose I have an unfair coin, it lands
on heads 75% of the...
Suppose you have an unfair coin that is weighted so that heads comes up only 30...
Suppose you have an unfair coin that is weighted so that heads comes up only 30 percent of the time. If you flip the coin 4 times, what is the probability that you obtain at least 3 heads in the 4 flips?
An unfair coin has probability 0.4 of landing heads. The coin is tossed seven times. What...
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) -
Suppose you flip an ordinary fair coin 60 times and amazingly it lands on heads every...
Suppose you flip an ordinary fair coin 60 times and amazingly it lands on heads every single time. What is the probability that on your next flip, it lands on tails?
probability: please solve it step by step. thanks An unfair coin has probability of heads equal...
probability: please solve it step by step. thanks
An unfair coin has probability of heads equal to p. An experiment consists of flipping this unfair coin n times and then counting the number of heads. a. Let Y; be a random variable which is 1 if the ith flip is heads and 0 if the ith flip is tails, where 1 sisn. Show that E (Y) = p and V(Y) = p-p2. b. Derive the moment-generating function of Y. c....
A coin that lands on heads with probability p is placed on the ground, showing heads,...
A coin that lands on heads with probability p is placed on the ground, showing heads, at timet 0. Thereafter, randomly but with a rate of λ times per hour, the coin is picked up and flipped. (a) What is the probability that the coin shows heads at any time t? (b) Suppose that instead of flipping it, we pick the coin up and turn it over. What is the probability that the coin shows heads at any time t?...
when coin 2 is flipped it lands on heads with When coin 1 is flipped, it...
when coin 2 is flipped it lands on heads with When coin 1 is flipped, it lands on heads with probability probability (a) If coin 1 is flipped 12 times, find the probability that it lands on heads at least 10 times. (b) If one of the coins is randomly selected and flipped 9 times, what is the probability that it lands on heads exactly 6 times? (c) In part (b), given that the first of these 9 flips lands...
You toss a penny and observe whether it lands heads up or tails up. Suppose the...
You toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, i.e., the probability of heads is 1/2 and the probability of tails is y. This means every occurrence of a head must be balanced by a tail in one of the next two or three tosses. if I flip the coin many, many times, the proportion of heads will be approximately %, and this proportion will tend to get closer and...
Question 2 (2 points) Suppose Tori has an unfair coin which lands on Tails with probability...
Question 2 (2 points) Suppose Tori has an unfair coin which lands on Tails with probability 0.28 when flipped. If she flips the coin 10 times, find each of the following: The standard deviation of the number of Tails PExactly 1 Tail) 1. 0.1798 2. 0.7021 PExactly 4 Tails) 3. 2.8 PiNo Tails) 4 0.1181 P[No more than 3 Tails) 5. 0.1456 PlMore than 3 Tails) 6. 0.0374 7. 0.9626 PlAt least 1 Tail) 8. 0.2979 PAt least 5 Tails)...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
Suppose Tori has an unfair coin which lands on Tails with probability 0.28 when flipped. If...
Suppose Tori has an unfair coin which lands on Tails with probability 0.28 when flipped. If she flips the coin 10 times, find each of the following: Question 2 options: The standard deviation of the number of Tails P(Exactly 1 Tail) P(More than 3 Tails) The mean number of Tails P(At least 5 Tails) P(No more than 3 Tails) P(Less than or equal to 2 Tails) P(Exactly 4 Tails) P(At least 1 Tail) P(No Tails) 1. 0.1798 2. 0.7021 3....
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) -
probability: please solve it step by step. thanks
An unfair coin has probability of heads equal to p. An experiment consists of flipping this unfair coin n times and then counting the number of heads. a. Let Y; be a random variable which is 1 if the ith flip is heads and 0 if the ith flip is tails, where 1 sisn. Show that E (Y) = p and V(Y) = p-p2. b. Derive the moment-generating function of Y. c....
A coin that lands on heads with probability p is placed on the ground, showing heads, at timet 0. Thereafter, randomly but with a rate of λ times per hour, the coin is picked up and flipped. (a) What is the probability that the coin shows heads at any time t? (b) Suppose that instead of flipping it, we pick the coin up and turn it over. What is the probability that the coin shows heads at any time t?...
when coin 2 is flipped it lands on heads with When coin 1 is flipped, it lands on heads with probability probability (a) If coin 1 is flipped 12 times, find the probability that it lands on heads at least 10 times. (b) If one of the coins is randomly selected and flipped 9 times, what is the probability that it lands on heads exactly 6 times? (c) In part (b), given that the first of these 9 flips lands...
You toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, i.e., the probability of heads is 1/2 and the probability of tails is y. This means every occurrence of a head must be balanced by a tail in one of the next two or three tosses. if I flip the coin many, many times, the proportion of heads will be approximately %, and this proportion will tend to get closer and...
Question 2 (2 points) Suppose Tori has an unfair coin which lands on Tails with probability 0.28 when flipped. If she flips the coin 10 times, find each of the following: The standard deviation of the number of Tails PExactly 1 Tail) 1. 0.1798 2. 0.7021 PExactly 4 Tails) 3. 2.8 PiNo Tails) 4 0.1181 P[No more than 3 Tails) 5. 0.1456 PlMore than 3 Tails) 6. 0.0374 7. 0.9626 PlAt least 1 Tail) 8. 0.2979 PAt least 5 Tails)...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
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