Answer:
a) P(X =16 ) = 0.1853
b)
= 0.0684
Step-by-step explanation:
GIVEN DATA:
n = 16
p = 0.90
from relation given probabllity can be solve

a)

P(X =16 ) = 0.1853
b)
= 1 - [ P(X = 13) +P(X = 14) +P(X = 15) +P(X = 16) ]
![= 1 - [ ^{16}C_{13} * 0.90^{13} * (1 - 0.90)^3 +^{16}C_{14} * 0.90^{14} * (1 - 0.90)^2 +^{16}C_{15} * 0.90^{15} * (1 - 0.90)^1 +^{16}C_{16} * 0.90^{16} * (1 - 0.90)^0 ]](https://tex.z-dn.net/?f=%3D%201%20-%20%5B%20%5E%7B16%7DC_%7B13%7D%20%2A%200.90%5E%7B13%7D%20%2A%20%281%20-%200.90%29%5E3%20%2B%5E%7B16%7DC_%7B14%7D%20%2A%200.90%5E%7B14%7D%20%2A%20%281%20-%200.90%29%5E2%20%2B%5E%7B16%7DC_%7B15%7D%20%2A%200.90%5E%7B15%7D%20%2A%20%281%20-%200.90%29%5E1%20%2B%5E%7B16%7DC_%7B16%7D%20%2A%200.90%5E%7B16%7D%20%2A%20%281%20-%200.90%29%5E0%20%5D)
= 0.0684
For this, you use the Law of Distribution and multiply -1 by all terms in the parentheses. 7 • -1 = -7; -c • -1 = c. Then you combine them, but since c is a variable, -7 + c is the most simplified it can get. I hope this helped!
Answer:
72 cupcakes
Step-by-step explanation:
Morgan can make 4 cupcakes with one cup of flour. She has 18 cups of flour and suppose she can make x cupcakes, then
1 cup of flour - 4 cupcakes
18 cups of flour - x cupcakes
Write a proportion:

Cross multiply:
