An archer hits a bull’s-eye with a probability of 0.09, and the results of different attempts can be taken to be independent of each other. If the archer shoots nine arrows, what is the variance of the number of bull's-eyes scored?

Variance = 0.858

Step-by-step explanation: The variance formulae for a probability distribution is given below as

Variance = √npq

Where n = number of times experiment was performed = 9

p = probability of success = 0.09

q = probability of failure = 1 - p = 1 - 0.09 =0.91

Variance = √9×0.09×0.91

Variance = √0.7371

Variance = 0.858

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: