Suppose I am playing a sport that does not allow me to end a match in a tie (AKA I have to either win or lose). If my probability of winning at any given time is 0.6, find the probability that I win exactly three of five matches

The required probability is 0.3456.

Step-by-step explanation:

Since we have given that

Probability of winning at any given time = 0.6

Probability of losing at any given time = 1-0.6 = 0.4

Number of total matches = 5

Number of won matches = 3

So, using "Binomial distribution", we get that

Hence, the required probability is 0.3456.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²