Instructions: You must use correct probability notation when first setting up ea

Question

Instructions: You must use correct probability notation when first setting up each problem. This was discussed in class and you should have several examples in your notes. When determining binomial probabilities, you are required to use technology after first stating the problem using correct probability notation. 25 pies Suppose a particular anti-missile rocket launcher is capable of firing 10 anti-missile rockets. Each of the 10 rockets can acquire the target (a missile) independently with probability of 0.85. Given an incoming missile has been detected, determine the following: The probability that exactly seven of the ten rockets acquire the target. I he probability that at least 3 of the ten rockets acquire the target. The probability that between 4 and 9 rockets acquire the target. The probability that 3 are fewer rockets fail to acquire the target. The probability that 1 or more rockets fail to acquire the target.

Explanation / Answer

Result:

n=10

p=0.85

Binomial Probabilities Table

X

P(X)

0

0.0000

1

0.0000

2

0.0000

3

0.0001

4

0.0012

5

0.0085

6

0.0401

7

0.1298

8

0.2759

9

0.3474

10

0.1969

a).

P( x=7) =0.1298

b).

P( x 3) =1.0000

c).

P(4<x<9)=P( x=5)+ P( x=6)+ P( x=7)+ P( x=8)

=0.4543

d).

n=10

fail to acquire p=0.15

Binomial Probabilities Table

X

P(X)

0

0.1969

1

0.3474

2

0.2759

3

0.1298

4

0.0401

5

0.0085

6

0.0012

7

0.0001

8

0.0000

9

0.0000

10

0.0000

P( x3) =0.9500

e).

P( x 1) =0.8031

Binomial Probabilities Table

X

P(X)

0

0.0000

1

0.0000

2

0.0000

3

0.0001

4

0.0012

5

0.0085

6

0.0401

7

0.1298

8

0.2759

9

0.3474

10

0.1969

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