Question

Given a fair coin. Assuming a negative binomial distribution. find P(a head appears for the 5...

Given a fair coin. Assuming a negative binomial distribution. find P(a head appears for the 5 th time on toss 8).

Homework Answers

Answer #1

The detailed solution is given in the pictures below.

Please go through them carefully specially the notations.

Hope the solution helps. Thank you.

(If you need further help them feel free to ask in the comment section)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Bonus Group Project 1: Negative Binomial Distribution Negative Binomial experiment is based on sequences of Bernoulli...
Bonus Group Project 1: Negative Binomial Distribution Negative Binomial experiment is based on sequences of Bernoulli trials with probability of success p. Let x+m be the number of trials to achieve m successes, and then x has a negative binomial distribution. In summary, negative binomial distribution has the following properties Each trial can result in just two possible outcomes. One is called a success and the other is called a failure. The trials are independent The probability of success, denoted...
5. If you toss a coin 10 times, you got 8 head out of ten tosses....
5. If you toss a coin 10 times, you got 8 head out of ten tosses. What is the probability of this event if the coin is fair (P[X=8|Coin=normal], X is a random variable representing number of head out of ten tosses)? What is the probability of this event if the coin is fake( P[X=8|Coin=fake])?
A biased coin is tossed repeatedly. The probability of getting head in any particular toss is...
A biased coin is tossed repeatedly. The probability of getting head in any particular toss is 0.3.Assuming that the tosses are independent, find the probability that 3rd head appears exactly at the 10th toss.
Given n = 5, p = 0.65. Find P(3) using both binomial distribution and geometric distribution....
Given n = 5, p = 0.65. Find P(3) using both binomial distribution and geometric distribution. Group of answer choices Binomial distribution: P(3) = 0.334. Geometric distribution: P(3) = 0.08 Binomial distribution: P(3) = 0.181. Geometric distribution: P(3) = 0.08 Binomial distribution: P(3) = 0.334. Geometric distribution: P(3) = 0.148 Binomial distribution: P(3) = 0.181. Geometric distribution: P(3) = 0.148
Toss a fair coin twice. Let A be the event "At least one Head" and B...
Toss a fair coin twice. Let A be the event "At least one Head" and B be the event "At least one Tail". Which of the following is true? A A and B are independent B A and B are disjoint C The probability of their intersection is P(A)P(B) D P(A/B)=P(B/A)
x is a binomial random variable with n=10 and p=.5. find the probability of obtaining from...
x is a binomial random variable with n=10 and p=.5. find the probability of obtaining from 6 to 9 tails of a fair coin. use the binomial probability distribution formula
PROBLEM 4. Toss a fair coin 5 times, and let X be the number of Heads....
PROBLEM 4. Toss a fair coin 5 times, and let X be the number of Heads. Find P ( X=4 | X>= 4 ).
A coin with P[Heads]= p and P[Tails]= 1p is tossed repeatedly (the tosses are independent). Define...
A coin with P[Heads]= p and P[Tails]= 1p is tossed repeatedly (the tosses are independent). Define (X = number of the toss on which the first H appears, Y = number of the toss on which the second H appears. Clearly 1X<Y. (i) Are X and Y independent? Why or why not? (ii) What is the probability distribution of X? (iii) Find the probability distribution of Y . (iv) Let Z = Y X. Find the joint probability mass function
A coin with P[Heads]= p and P[Tails]= 1p is tossed repeatedly (the tosses are independent). Define...
A coin with P[Heads]= p and P[Tails]= 1p is tossed repeatedly (the tosses are independent). Define (X = number of the toss on which the first H appears, Y = number of the toss on which the second H appears. Clearly 1X<Y. (i) Are X and Y independent? Why or why not? (ii) What is the probability distribution of X? (iii) Find the probability distribution of Y . (iv) Let Z = Y X. Find the joint probability mass function
(a)Assuming that we toss a in-balanced coin for 100 times, and we get 40 heads from...
(a)Assuming that we toss a in-balanced coin for 100 times, and we get 40 heads from our experiment. Assuming that the relative frequency is just the true probability for tossing to get a head. Then we want to know: Probability for getting a head:   Expected variance if tossing 70 times:   (b)Given a poisson distribution with expectation 4, so the standard deviation of this distribution should be