The table below gives probabilities for various combinations of events A, B, and their complements. Probability of being in each cell of a two-way table A not A B 0.2 0.4 not B 0.1 0.3 Find P(A). Enter the exact answer. P(A) =
Added by Margaret B.
Close
Step 1
Step 1: Use the law of total probability to find P(A). Show more…
Show all steps
Your feedback will help us improve your experience
Manisha Sarker and 63 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The table below gives probabilities for various combinations of events A, B, and their complements Probability of being in each cell of a two-way table not A 0.3 0.2 0.1 not B 0.4 Find P(A or B). Enter the exact answer: P(A or B) =
Sri K.
Consider these three tables. State which table(s) could not represent a discrete probability distribution, giving reasons. a 1 2 3 7 P(A=a) 0.1 0.2 0.03 0.4 b 1 2 3 4 P(B=b) 0.1 -0.2 0.4 0.4 c 4.5 3 1 0 P(C=c) 0.2 0.2 0.5 0.1
Donna D.
A random experiment gave rise to the two-way contingency table shown. Use it to compute the probabilities indicated. $$ \begin{array}{|l|c|c|} \hline & R & S \\ \hline A & 0.12 & 0.18 \\ \hline B & 0.28 & 0.42 \\ \hline \end{array} $$ a. $\quad P(A), P(R), P(A \cap R)$ b. Based on the answer to (a), determine whether or not the events $A$ and $R$ are independent. c. Based on the answer to (b), determine whether or not $P(A \mid R)$ can be predicted without any computation. If so, make the prediction. In any case, compute $P(A \mid R)$ using the Rule for Conditional Probability.
Basic Concepts of Probability
Conditional Probability and Independent Events
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
400,000+
Students learning Statistics & Probability with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
