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.
Answer:
180degrees
Step-by-step explanation:
Given the expression cos^2x - cos x - 2 = 0
Let P = cos x
P^2 - P - 2 = 0
Factorize
P^2 - 2P + P - 2 =0
P(P-2)+1(P-2) = 0
P-2 = 0 and P + 1 = 0
P = 2 and P = -1
Since P = cos x
cos x = -1
x = arccos(-1)
x = 180degrees
Hence the require angle is 180degrees
