Enter a problem...
Finite Math Examples
n=2n=2 , x=22x=22 , σ=10σ=10 , α=0.95α=0.95
Step 1
Step 1.1
The mean of the binomial distribution can be found using the formula.
μ=npμ=np
Step 1.2
Fill in the known values.
22
Step 1.3
Remove parentheses.
22
22
Step 2
Step 2.1
The standard deviation of the binomial distribution can be found using the formula.
σ=√npqσ=√npq
Step 2.2
Fill in the known values.
√2√2
Step 2.3
Remove parentheses.
√2√2
√2√2
Step 3
Step 3.1
The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event.
x-μσx−μσ
Step 3.2
Find the z-score.
Step 3.2.1
Fill in the known values.
22-(2)1022−(2)10
Step 3.2.2
Simplify the expression.
Step 3.2.2.1
Cancel the common factor of 22-(2)22−(2) and 1010.
Step 3.2.2.1.1
Rewrite 2222 as -1(-22)−1(−22).
-1(-22)-(2)10−1(−22)−(2)10
Step 3.2.2.1.2
Factor -1−1 out of -1(-22)-(2)−1(−22)−(2).
-1(-22+2)10−1(−22+2)10
Step 3.2.2.1.3
Factor 22 out of -1(-22+2)−1(−22+2).
2(-1(-11+1))102(−1(−11+1))10
Step 3.2.2.1.4
Cancel the common factors.
Step 3.2.2.1.4.1
Factor 22 out of 1010.
2(-1(-11+1))2(5)2(−1(−11+1))2(5)
Step 3.2.2.1.4.2
Cancel the common factor.
2(-1(-11+1))2⋅5
Step 3.2.2.1.4.3
Rewrite the expression.
-1(-11+1)5
-1(-11+1)5
-1(-11+1)5
Step 3.2.2.2
Simplify the expression.
Step 3.2.2.2.1
Add -11 and 1.
-1⋅-105
Step 3.2.2.2.2
Multiply -1 by -10.
105
Step 3.2.2.2.3
Divide 10 by 5.
2
2
2
2
2