Yes. Any number that is a multiple of 2 is even & the last digit of everyone of those numbers is an even number.
Answer:
The probability that conservative party wins all 3 seats is 0.216
The probability that conservative party wins exactly two seats is 0.432
Step-by-step explanation:
Consider the provided information.
The probability of a conservative candidate winning is p=0.6.
The probability of one progressive candidate will win is: 1-0.6=0.4
Part (a) What is the probability that the conservative party wins all three seats?
According to binomial distribution: ![b(x; n, p) =^nC_xp^x(1- p)^{n-x}](https://tex.z-dn.net/?f=b%28x%3B%20n%2C%20p%29%20%3D%5EnC_xp%5Ex%281-%20p%29%5E%7Bn-x%7D)
![P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}](https://tex.z-dn.net/?f=P%28x%3D3%29%20%3D%5E3C_3%280.6%29%5E3%20%280.4%29%5E%7B3-3%7D)
![P(x=3) =(0.6)^3](https://tex.z-dn.net/?f=P%28x%3D3%29%20%3D%280.6%29%5E3)
![P(x=3)=0.216](https://tex.z-dn.net/?f=P%28x%3D3%29%3D0.216)
P(conservative party wins all 3 seats) = 0.216
Hence, the probability that conservative party wins all 3 seats is 0.216
Part (a) What is the probability that the conservative party wins exactly two seats?
![P(x=2) =^3C_2(0.6)^2 (0.4)^{3-2}](https://tex.z-dn.net/?f=P%28x%3D2%29%20%3D%5E3C_2%280.6%29%5E2%20%280.4%29%5E%7B3-2%7D)
![P(x=2) =3(0.36)(0.4)](https://tex.z-dn.net/?f=P%28x%3D2%29%20%3D3%280.36%29%280.4%29)
![P(x=2) =0.432](https://tex.z-dn.net/?f=P%28x%3D2%29%20%3D0.432)
Hence, the probability that conservative party wins exactly two seats is 0.432
Answer:
12
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169
169-25= 144
take the square root of 144
answer: 12
Answer:3
Step-by-step explanation:
1+5=6
6/2=3