Answer:
Part A:

x is a binomial Random Variable.
Part B:
Value of p=0.8
Value of n=20
Part C:
P(X=15)=0.17456
Part D:
P(X≥15)=0.80417
Part E:
E(x)=16
E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.
Step-by-step explanation:
Part A:
Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks
It means:

x is a binomial Random Variable.
Part B:
Value of p=0.8
Value of n=20
Part C:
x=15

By solving above Expression:
P(X=15)=0.17456
Part D:
P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)

P(X=15)=0.17456



Now, Adding Probabilities:

P(X≥15)=0.80417
Part E:
Mean Distribution:
E(x)=n*p
E(x)=20*0.8
E(x)=16
E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.
Answer:
0.052
Step-by-step explanation:
Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
Answer:
-4x-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
(0,2) (3,0)
(0-2)/(3-0)= -2/3
the perpendicular slope is 3/2