Question

if it is known that the probability of a missile hitting a target is 1 /8, what is the probability that out of 10 missiles fired, atleast 2 will hit the target​

Answer 1

Given:

It is known that the probability of a missile hitting a target is 1 /8,

To find:

What is the probability that out of 10 missiles fired, atleast 2 will hit the target​

Solution:

From given, we have,

Probability of atleast 2 will hit the target​ is given as,

P(X ≥ 2) = 1 − P(X < 2)

The probability of a missile hitting a target is 1 /8

P(X ≥ 2) = 1 − [P(X = 0) + P(X = 1)]

= 1 − [¹⁰C₀ × (1/8)^0 × (7/8)^10 + ¹⁰C₁ × (1/8)^1 × (7/8)^9]

= 1 − [7^10/8^10 + (10 × 7^9)/8^10]

= 1 − [7^10 + 10 × 7^9] / 8^10

= 1 − (17 × 7^9) / 8^10

P(X ≥ 2) ≈ 0.3611 = 36.11%

Therefore, the probability that out of 10 missiles fired, atleast 2 will hit the target​ is 0.3611

Answer 2

Answer:

0.3611

Step-by-step explanation:

Click on above photo