Answer: Solve for
x
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
16
15
x
=
16
15
Decimal Form:
x
=
1.0
¯
6
x
=
Mixed Number Form:
x
=
1
1
15
Step-by-step explanation:
Answer: Our required probability is 0.99338.
Step-by-step explanation:
Since we have given that
n = 100
p = 0.200
So, 
So, we can apply normal approximation.
Mean = 20
Standard deviation = 
Since 
So, Probability that fewer than 30 but a packet after testing a free sample is given by

Hence, our required probability is 0.99338.
Answer:
2 days
Step-by-step explanation:
Expected number of days until prisoner reaches freedom=E(x)=?
E(x)=x*p(x)
Where x is the number of days and p(x) is the probability associated with them.
X 1 2 3
P(x) 0.5 0.3 0.2
E(x)=1*0.5+2*0.3+3*0.2
E(x)=0.5+0.6+0.6
E(x)=1.7.
Thus, the expected number of days until prisoner reaches freedom are 2 days.
Y 6 8 10 12 X - because it increases at a constant rate of 2