The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
<h2>Given</h2>
Number of voters who support ballot initiative = 30 % = 0.30
Number of voters who does not support this initiative = 1 - 0.30 = 0.70
Number of voters selected for Surveying = 5
<h3>What is probability?</h3>The probability of success and failure remain the same throughout the trials.
The probability that exactly 2 voters will be in favor of the ballot initiative is given by;
If P denotes Success and Q denotes failure;
Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
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Answer:
Step-by-step explanation:
Step 1:
Calculate the circumference of both circles.
The formula of a circumference:of a circle with radius r:
The circle R:
The circle S:
The length of the intercepted arc for circle R is
Step 2:
Calculate what the part of the circumference of the circle R is the intercepted arc:
The same length of the circumference of the circle S is searched for the length of the intercepted arc for circle S.
Step 3:
Calculate the length of the intercepted arc for circle S: