kimbo will toss a coin in the air 350 times. what is the best prediction for the number of times it will…

kimbo will toss a coin in the air 350 times. what is the best prediction for the number of times it will land on tails? a exactly 175 times b exactly 170 times c close to 170 times but probably not exactly 170 times d close to 175 times but probably not exactly 175 times

kimbo will toss a coin in the air 350 times. what is the best prediction for the number of times it will land on tails? a exactly 175 times b exactly 170 times c close to 170 times but probably not exactly 170 times d close to 175 times but probably not exactly 175 times

Answer

Explanation:

Step1: Determine probability of tails

For a fair - coin, the probability of getting tails in a single toss is $p=\frac{1}{2}$.

Step2: Calculate expected number of tails

The expected number of tails $E(X)$ in $n = 350$ tosses is given by $E(X)=n\times p$. Substituting $n = 350$ and $p=\frac{1}{2}$, we get $E(X)=350\times\frac{1}{2}=175$. But in a real - world experiment of coin - tossing, we are likely to get a number close to 175 but not exactly 175 due to randomness.

Answer:

D. Close to 175 times but probably not exactly 175 times