The probability that a missile fired against a target is not intercepted by an a

Question

The probability that a missile fired against a target is not intercepted by an anti-missile missile is 2/3. Given that the missile has not been intercepted, the probability of a successful hit is 3/4. if 4 missiles are fired independently, what is the probability that: i) All will successfully hit the target? ii) At least one will do so? How many missiles should be fired, so that: iii) At least one is not intercepted with probability > = 0.95? iv) at least one successfully hits its target?

Explanation / Answer

Hi, This is a Binomial Distribution problem, probability of success = .75 using TI 83 calculator: 2nd vard BinomPDF you get: 1) (p = 4) = .3164 2) (p >= 1) = .9961 If I miss understood the problem and the answers are not correct, use your TI83 calculator, plug your n and p and q (1-p) in the BinomPDF for the less than and equals. BinomCDF for the (p = 4)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.