Question

A bonus activity in a popular video game allows the gamer to choose from several boxes to aquire a rare and useful item. The probability of success is 0.2. With 35 attempts, find the standard deviation. O 2.4 O 7.0 O 5.6 O 0.2

Answer 1

Answer: the standard deviation is 2.4

Step-by-step explanation:

The formula for standard deviation is expressed as

s = √npq

Where

p = probability of success

q = probability of failure

n = number of samples

From the information given,

The probability of success, p is given as 0.2. It means that the probability of failure, q will be 1 - p = 1 - 0.2 = 0.8

There were 35 attempts. This means that total number of samples, n is 35

The standard deviation becomes

√35×0.2×0.8 = √5.6 = 2.366

Approximately 2.4