Answer:
Mean for a binomial distribution = 374
Standard deviation for a binomial distribution = 12.97
Step-by-step explanation:
We are given a binomial distribution with 680 trials and a probability of success of 0.55.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 680 trials
r = number of success
p = probability of success which in our question is 0.55
So, it means X <em>~ </em>
<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>
- Mean of Binomial Distribution is given by;
E(X) = n
p
So, E(X) = 680
0.55 = 374
- Standard deviation of Binomial Distribution is given by;
S.D.(X) =
=
=
= 12.97
Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.
Answer:
x = -1
Step-by-step explanation:
use distribution
3x + 3 = -2x + 2 - 4
simplify
3x + 3 = -2x - 2
combine like terms
3x + 3 = -2x - 2
-3x -3x
3 = -5x - 2
+2 +2
5 = -5x
/-5 /-5
-1 = x
For this case we have the following quadratic equation:

Where:

Its roots will be given by:

The roots are:

Answer:

Answer:
f(1/3) = 1
Step-by-step explanation:
Plug 1/3 in for n
f(1/3) = 3(1/3)
Now simplify
f(1/3) = 1 { 3(1/3) = (3/1)(1/3) = 3/3 = 1 }
Answer:
x = 31
Step-by-step explanation:
The 88-deg angle is an exterior angle of the triangle.
The 57-deg angle and x are its remote interior angles.
<em>Theorem:</em>
<em>The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.</em>
x + 57 = 88
x = 31