Question

A coin is tossed 200 times, if the probability of getting a head is , 5/8
many times tail is obtained in all in tossing the coin?​

Answer 1

Answer:

The number of times tail is obtained is 75.

Step-by-step explanation:

The number of times the coin is tossed is, n = 200.

The probability of getting heads is, $P(H)=\frac{5}{8}$.

Then the probability of tails is, $P(T)=1-P(H)=1-\frac{5}{8}=\frac{3}{8}$.

Let X = number of tails obtained.

The random variable X follows a Binomial distribution with parameters n and p.

The expected value of the binomial random variable X is:

E (X) = n × P (X)

Compute the expected number of tails obtained in 200 tosses as follows:

$E(Tails) = n\times P(T)=200\times\frac{3}{8}=75$

Thus, the number of times tail is obtained is 75.