Suppose a binomial event has a probability of success of 0.3, and 750 trials are performed. what is the standard deviation of the possible outcomes? round your answer to two decimal places.
a. 16.20
b. 12.55
c. 8.22
d. 10.61

B.12.55

Step-by-step explanation:

Given: In a binomial event , the probability of success = 0.3

i.e. p =0.3

Then, q=1-P=1-03=0.7

The total number of trial performed n= 750

Now, the standard deviation of the proportion is given by :-

Hence, the standard deviation of the possible outcomes = 12.55

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b