ZuoTi.Pro
Question

Flip a coin twice and observe its face side. Assume that the coin is unfair with...

Flip a coin twice and observe its face side. Assume that the coin is unfair with P(head)=0.6. Define the following events: •A: you get at least one head •B: you get at least one tail Write out sample space S, events A,B by listing all possible outcomes. (b) FindP(A), P(B) (c) FindP(A∪B),P(A∩B) (d) FindP(A|B) (e) Are A,B independent? and why?

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

¥-Coin.is-flipped-tiorce_t M Hedi-|LLI): adL Event A ax get Adleast onetlead 수·Event B :-You get atleast-one-Tail Sample Spacwe can assn ime一ㄧ一thatー CO.nrflips一一are-- successee or is PITon 2 o.L x.o4 milawl d. 上32 CACd conditional Proba dlues povide hat ciln help ㄧ-ne.ip --午e(0.30e Hence A &B cant be independent

0 0
Add a comment
Know the answer?
Add Answer to:
Flip a coin twice and observe its face side. Assume that the coin is unfair with...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • You flip a coin four times and observe whether a head or a tail occurs on...

    You flip a coin four times and observe whether a head or a tail occurs on each flip. How many outcomes are in the sample space for this random phenomenon?

  • 2. Consider tossing a coin twice. Denote H ="head" and T ="tail" (a) List all outcomes...

    2. Consider tossing a coin twice. Denote H ="head" and T ="tail" (a) List all outcomes in the sample space S (b) Let X count the number of heads. List all outcomes in the events Ao = {X = 0}, Ai = {X=1 and A2 {X = 2}. Are all the events Ao,A1,A2 mutually exclusive? Explain. (c) Suppose P(H) = 0.6. Find the probability mass function of X: f(x) = P{X =x} (d) Find the cumulative distribution function of X:...

  • Suppose you toss an unfair coin 8 times independently. The probability ofgetting a head is 0.3....

    Suppose you toss an unfair coin 8 times independently. The probability ofgetting a head is 0.3. Denote the outcome to be 1 if you get a head and 0 if a tail. (i) Write down the sample space Ω. (ii) What is the probability of the event that you get a head or a tail at least once? (iii) If you get eight same toss's you will get x dollars, otherwise you will lose 1 dollar. On average, how large...

  • Imagine an experiment where we flip a coin 6 times, and get “head, tail, head, head,...

    Imagine an experiment where we flip a coin 6 times, and get “head, tail, head, head, head, head”. Which of the following statements are true? a) The coin is not fair b) The coin’s tail probability is 1/6 c) The sequence "head, tail, head, head, head, head" is an outcome in the sample space. d) The sample space of the experiment is {head, tail}

  • Problem 2. a. You flip a coin and roll a die. Describe the sample space of...

    Problem 2. a. You flip a coin and roll a die. Describe the sample space of this experi ment b. Each of the 10 people flips a coin and rolls a die. Describe the sample space of this c. In the erperiment of part b. how many outcomes are in the event where nobody rolled d. Find the probability of the events in part c. What assumptions have you made? experiment. How many elements are in the sample space? a...

  • Problem 6 7. Part 1-4 (10pts)A coin has two faces Head and Tail. (1) (2pts)]lf you...

    Problem 6 7. Part 1-4 (10pts)A coin has two faces Head and Tail. (1) (2pts)]lf you toss the coin once, and record the up-face value, what is the sample space? 6. (2) (2pts)lf you toss the coin once, what is the probability that up-face is Tail? What is the probability that up-face is Head? (3) (5ps)lf you toss the coin three times, and record the up-face value for each toss. One of the possible outcome is (Head, Head, Head). By...

  • please show formula use not just the amswer, thanks = o 2. Flip a fair coin...

    please show formula use not just the amswer, thanks = o 2. Flip a fair coin twice. Let H: the coin lands on a head; T: the coin lands on a tail. S = {(H, H), (H, T), (T, H), (T, T)} Find: a. P(both are H) 28. b. P(1st is T U 2nd is H) c. P(both are T at least one T)

  • The next four questions (5 to 8) refer to the following: An unfair coin is tossed...

    The next four questions (5 to 8) refer to the following: An unfair coin is tossed three times. For each toss, the probability that the coin comes up heads is 0.6 and the probability that the coin comes up tails is 0.4. If we let X be the number of coin tosses that come up heads, observe that the possible values of Xare 0, 1, 2, and 3. Find the probability distribution of X. Hint: the problem can be solved...

  • (a) Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die....

    (a) Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die. (b) How many outcomes contain a head and a number greater than 4? (c) Probability extension: Assuming the outcomes displayed in the tree diagram are all equally likely, what is the probability that you will get a head and a number greater than 4 when you flip a coin and toss a die? (Round your answer...

  • 1. Consider the experiment: You flip a coin once and roll a six-sided die once. Let...

    1. Consider the experiment: You flip a coin once and roll a six-sided die once. Let A be the event that you roll an even number and B be the event that you flip heads. (a) Determine the sample space S for this experiment. (Hint: There are 12 elements of the sample space.) (b) Which outcomes are in A? (c) Which outcomes are in B? (d) Which outcomes are in A'? What does it mean in words? (e) Which outcomes...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT