0% because the deck only has 9s, 10s, jacks, queens, kings, and aces. There is no others cards accept those. So you cannot get a 4 of hearts because it’s not in the deck.
a) For x = 27:
z = 27-28/2 = -0.5
For x = 31:
z = 31-38/2 = 1.5
From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%
b) For x > 30.2:
z = 30.2-28/2 = 1.1
From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%
I have not done measurements in a really long time and i am most likely wrong but i think its 45
S = N + 4
N = H - 8
S = 15
S = N + 4
Plug in 15 for 'S':
15 = N + 4
11 = N
N = H - 8
11 = H - 8
Add 8 to both sides:
19 = H
So Hector receives $19 for allowance.