Respuesta :

Answer:

4 times.

Step-by-step explanation:

We have been given that Kendall flips a weighted coin 8 times and gets 2 tails. We are asked to find the number of tails that Kendall should expect to come up in next 16 flips.            

[tex]\text{Best prediction}=\text{Probability of getting tails}\times \text{Number of flips}[/tex]

Let us find find probability of getting tails.

[tex]\text{Probability of getting heads up}=\frac{\text{Number of tails}}{\text{Number of flips}}[/tex]

[tex]\text{Probability of getting heads up}=\frac{2}{8}[/tex]

Upon substituting the probability, we will get:

[tex]\text{Best prediction}=\frac{2}{8}\times 16[/tex]

[tex]\text{Best prediction}=2\times 2[/tex]

[tex]\text{Best prediction}=4[/tex]

Therefore, Kendall should expect to come up tails 4 times of the next 16 flips.

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