If P(A) = 0.60 and P(B) = 0.30, then A and B are independent events if
A. PA or B) = 0.90
B. PA or B) = 0.18
C. PA and B) = 0
D. PA and B) = 0.18
SUBMIT
Answers
Answer:
[tex]P(A\ and\ B) = 0.18[/tex]
[tex]P(A\ or\ B) = 0.90[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.60[/tex]
[tex]P(B) = 0.30[/tex]
Required
Which option is true
A and B are said to be [tex]independent[/tex] if:
[tex]P(A\ and\ B) = P(A) * P(B)[/tex]
[tex]P(A\ and\ B) = 0.60 * 0.30[/tex]
[tex]P(A\ and\ B) = 0.18[/tex]
and
[tex]P(A\ or\ B) = P(A) + P(B)[/tex]
This gives:
[tex]P(A\ or\ B) = 0.60 + 0.30[/tex]
[tex]P(A\ or\ B) = 0.90[/tex]
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If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
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Answers
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Answers
Answer:
Answer:
step 1:balance skeleton equation the chemical equation:
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a.
sigma notation
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Answers
Answer:
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edge 2021
A statement 'used to demonstrate the validity of a conjecture based on the truth of a first case, the assumption of truth of a kth case, and the demonstration of truth for the (k + 1)th case' defines mathematical induction.
The correct answer is option (b) mathematical induction.
What is sigma notation?"The sigma notation (Σ) is generally used to denote a sum of multiple terms."
What is Euler's formula?In geometry, V − E + F = 2
where, V, E, and F are the numbers of vertices, edges, and faces of any simple polyhedron
What is n factorial?For a positive integer n, the n factorial is the product of all the positive numbers preceding or equivalent to n.n! = n × (n-1) × . . . × 1What is mathematical induction?It is used to prove that an identity is valid for all integers n ≥ 1 .Steps to show a propositional function F(n) is true for all integers n ≥ a, where a is a fixed integer.- F(a) is true.
- if F(k) is true for some integer k ≥ a, then F(k + 1) is also true.
For given example,
a statement 'used to demonstrate the validity of a conjecture based on the truth of a first case, the assumption of truth of a kth case, and the demonstration of truth for the (k + 1)th case' defines mathematical induction.
Therefore, the correct answer is option (b) mathematical induction.
Learn more about mathematical induction here:
https://brainly.com/question/1333684
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