Question

A biased coin is tossed ten times. Given that exactly four Heads were obtained, what is...

A biased coin is tossed ten times. Given that exactly four Heads were obtained, what is the conditional probability that exactly two Heads were obtained in the first five tosses?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We use Bayes rule to calculate this one. The detailed explanation is given in the picture attached.

we assume here p,q are not equal to zero.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A fair coin is tossed 4 times. What is the probability of getting exactly 3 heads...
A fair coin is tossed 4 times. What is the probability of getting exactly 3 heads conditioned on the event that the first two tosses came out the same?
A coin is tossed seven times. What is the probability that the outcome is seven ​heads,...
A coin is tossed seven times. What is the probability that the outcome is seven ​heads, given that exactly four of the coins show heads​? The probability of getting seven heads is..?
A coin is tossed 7 times. What is the probability that the number of heads obtained...
A coin is tossed 7 times. What is the probability that the number of heads obtained will be 6? Express your answer as a fraction or a decimal number rounded to four decimal places.
A coin is tossed 100 times and the results are recorded. 40 times the coin lands...
A coin is tossed 100 times and the results are recorded. 40 times the coin lands on heads, the other 60 times the coin lands on tails. If 40 of the recorded tosses were selected at random, what is the probability that the coin landed on heads exactly 14 times?
A fair coin is tossed for n times independently. (i) Suppose that n = 3. Given...
A fair coin is tossed for n times independently. (i) Suppose that n = 3. Given the appearance of successive heads, what is the conditional probability that successive tails never appear? (ii) Let X denote the probability that successive heads never appear. Find an explicit formula for X. (iii) Let Y denote the conditional probability that successive heads appear, given no successive heads are observed in the first n − 1 tosses. What is the limit of Y as n...
A coin is tossed 6 times. What is the probability that the number of heads obtained...
A coin is tossed 6 times. What is the probability that the number of heads obtained will be between 2 and 3 inclusive? Express your answer as a fraction or a decimal number rounded to four decimal places. PLEASE DON'T ANSWER UNLESS YOU ARE CONFIDENT YOU KNOW THE SOLUTION.
NOTE:KINDLY SOLVE PARTS D AND E. A fair coin is tossed four times, and the random...
NOTE:KINDLY SOLVE PARTS D AND E. A fair coin is tossed four times, and the random variable X is the number of heads in the first three tosses and the random variable Y is the number of heads in the last three tosses. a) What is the joint probability mass function of X and Y ? b) What are the marginal probability mass functions of X and Y ? c) Are the random variables X and Y independent? d) What...
A coin is tossed 5 times. Find the probability that exactly 2 are heads. The probability...
A coin is tossed 5 times. Find the probability that exactly 2 are heads. The probability that exactly 2 are heads is? ​(Type an integer or decimal rounded to the nearest thousandth as ​needed.)
A fair coin is tossed three times. Let X be the number of heads among the...
A fair coin is tossed three times. Let X be the number of heads among the first two tosses and Y be the number of heads among the last two tosses. What is the joint probability mass function of X and Y? What are the marginal probability mass function of X and Y i.e. p_X (x)and p_Y (y)? Find E(X) and E(Y). What is Cov(X,Y) What is Corr (X,Y) Are X and Y independent? Explain. Find the conditional probability mass...
Given a fair coin, if the coin is flipped n times, what is the probability that...
Given a fair coin, if the coin is flipped n times, what is the probability that heads is only tossed on odd numbered tosses. (tails could also be tossed on odd numbered tosses)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT