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5. A single coin is tossed 500 times. Tails was observed 200 times. What is the long-run relative frequency of Heads? Decimal form
To find the long-run relative frequency of Heads, we first need to find the number of times Heads was observed.
Since a coin can only land on either Heads or Tails, the number of times Heads was observed can be calculated by subtracting the number of times Tails was observed from the total number of tosses:
Number of times Heads = Total number of tosses - Number of times Tails
Number of times Heads = 500 - 200
Number of times Heads = 300
Now, the relative frequency of Heads can be calculated by dividing the number of times Heads by the total number of tosses:
Relative frequency of Heads = Number of times Heads / Total number of tosses
Relative frequency of Heads = 300 / 500
Relative frequency of Heads = 0.6
Therefore, the long-run relative frequency of Heads in decimal form is 0.6.