Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

suppose two balanced coins are tossed and the upper faces are observed. a list the sample points for this experiment. b assign a reasonable probability to each sample point. (are the sample points equally likely?) c let a denote the event that exactly one head is observed and b the event that at least one head is observed. list the sample points in both a and b. d from your answer to part (c), find p(a), p(b), p(a ∩ b), p(a ∪ b), and p(a ∪ b). wackerly, dennis; mendenhall, william; scheaffer, richard l.. mathematical statistics with applications (p. 34). cengage textbook. kindle edition.

Sagot :

The probabilities are P(A)= 1/2 , P(B)= 3/4, P(A∩B)= 1/2 , P(AUB)=3/4

given that two balanced coin are tossed and upper faces are observed the samples point of this experiment are

A) 1){H, H}

   2){H, T}

   3){T, H}

  4){T, T}

B) The coin is balanced, so the probability is the same for Tail or head, the first throw is independent of the second. then I can multiply their probabilities:

P(H1∩H2)=P(H)*P(H)=1/2*1/2=1/4

P(H1∩T2)=P(H)*P(H)=1/2*1/2=1/4

P(T1∩H2)=P(H)*P(H)=1/2*1/2=1/4

P(T1∩T2)=P(H)*P(H)=1/2*1/2=1/4

C) A={{T, H}, {H, T}}, B={{H, H}, {H, T}, {T, H}}

D) P(A)=P(H1∩T2)+P(T1∩H2)=1/4+1/4=1/2

P(B)=P(H1∩H2)+P(H1∩T2)+P(T1∩H2)=1/4+1/4+1/4=3/4

P(A∩B)=P(H1∩T2)+P(T1∩H2)=P(A)=1/2

P(AUB)=P(H1∩H2)+P(H1∩T2)+P(T1∩H2)=P(B)=3/4

Ac={{T, T}, {H, H}}

P(AcUB)=P(H1∩H2)=1/4

learn more about of probability here

https://brainly.com/question/13286329

#SPJ4

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.