Question 327959
a) P(All on-time)={{{(0.7)(0.7)(0.7)(0.7)(0.7)=0.16807}}}
.
.
.
b) P(All late)={{{(0.3)^5=0.00243}}}
.
.
.
c)Look at the outcomes of 2 or fewer late departing flight of the 2^5 possible outcomes (O- on time, L-late).

O	O	O	O	O
O	O	O	O	L
O	O	O	L	O
O	O	O	L	L
O	O	L	O	O
O	O	L	O	L
O	O	L	L	O
O	L	O	O	O
O	L	O	O	L
O	L	O	L	O
O	L	L	O	O
L	O	O	O	O
L	O	O	O	L
L	O	O	L	O
L	O	L	O	O
L	L	O	O	O

There are 16 out of 32 possible flights that have  2 or fewer late departing flights.
0 Late=>1 outcome, {{{P=(0.7)^5(0.3)^0=0.16807}}}
1 Late=>5 outcomes,{{{P=(0.7)^4(0.3)^1=0.07203}}}
2 Late=>10 outcomes,{{{P=(0.7)^3(0.3)^2=0.03087}}}
P={{{1(0.16807)+5(0.07203)+10(0.03087)=0.8369}}}