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enot [183]
3 years ago
15

A stragitic defense strategy calls for missiles to be fired independelty at a target until the target us hit. Let the probabilit

y that any missile will hit the target be .8 and x=# of missiles fired at the target
Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0

Points:

The question is incomplete as the value of x is not given and what is required is not stated.

<em>However, I'll assume that x = 5</em>

Going by the details of the question, possible questions could be:

  • Expected number of hits
  • Variance and Standard Deviation of hits

Answer:

See Explanation

Step-by-step explanation:

Given

Represent the probability with p.

So:

p = 0.8

Solving (a): The expected number of hits.

In probability, the expected number is calculated as:

E(x) = p * x

Substitute values for p and x

E(x) = 0.8 * 5

<em>Remember that 5 is an assumed value of x</em>

E(x) = 4

<em>Hence, the expected number of hits when 5 missiles is fired is 4</em>

Solving (b): Variance

In probability, variance is calculated as:

variance = x*p*(1-p)

Substitute values for p and x

variance = 5*0.8*(1-0.8)

variance = 5*0.8*0.2

variance = 0.8

<em>Hence, the variance is 0.8</em>

Solving (c): The standard deviation

In probability, the standard deviation is calculated as:

SD= \sqrt{Variance

Substitute values for variance

SD= \sqrt{0.8

SD= 0.89

<em>Hence, the standard deviation is 0.89</em>

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