13. What is the probability for exactly three of five flipped coins to land heads, and...
Problem 4. Five coins are flipped. The first four coins will land on heads with probability 1/4. The fifth coin is a fair coin. Assume that the results of the flips are independent. Let X be the total number of heads that result Hint: Condition on the last flip. (a) Find P(X2) (b) Determine E[X] S.20
Five fair coins were flipped. 11. How many possible outcomes there will be, if the order of coins are considered? 32 12. How many possible outcomes with exactly 3 heads? 13. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) 14. What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.)
Five fair coins were flipped. Part (a): How many possible outcomes there will be, if the order of coins are considered? Part (b): How many possible outcomes with exactly 3 heads? Part (c): What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) Part (d): What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.)
Six fair coins were flipped. 15. How many possible outcomes there will be, if the order of coins are considered? 16. How many possible outcomes with exactly 3 heads? 17. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 18.
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...
if 5 fair coins flipped what is the probability of getting at least 2 heads and 2 tails given that there is at least 1 head and 1 tail?
2) If I flipped a coin five times and it landed heads up each time, what is the probability that it will land heads up on the sixth time? 3) If a solar panel manufacturing process has a 3% defect rate, and a random sample of 10 panels is selected, what is the probability that none of the panels in the sample will be defective? 4) You are designing an experiment to determine the effect of temperature, stirring rate, and...
4. Use Monte Carlo simulation to approximate the probability of three heads ocurring when five fair coins are flipped. Do a sufficient number of trials to have a meaningful result.
Eight fair coins were flipped 21. How many possible outcomes there will be, if the order of coins are considered? 22. How many possible outcomes with exactly 3 heads? 23. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 24. 25. P(A)-0.35, P(B)-0.58, and P(A and B)-0.26, What is P(A...
Eight fair coins were flipped. 21. How many possible outcomes there will be, if the order of coins are considered? 22. How many possible outcomes with exactly 3 heads? 23. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 24. 25. P(A)-0.35, P(B)-0.58, and P(A and B)-0.26, What is P(A...