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.