Please solve 6 and 7.

6. [-/8.33 Points] DETAILS ASWSBE14 5.E.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a 0.80 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. (a) What is the probability that a single detection system will detect an attack? https://www.webassign.net/web/Student/Assignment-Responses/last?dep=29660754 9/25/22, 3:26 PM Ch. 5: Discrete Probability Distribution (F) - ECN 221 - SLN 94910, section 94910, Fall 2022 | WebAssign (b) If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack? (c) If three systems are installed, what is the probability that at least one of the systems will detect the attack? (d) Would you recommend that multiple detection systems be used? Explain. Multiple detection systems ---Select--- v| be used because P(at least 1) for multiple systems ---Select--- v very close to 1. Need Help? Read It 7. [-/8.33 Points] DETAILS ASWSBE14 5.E.044. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider a Poisson distribution with u = 5. (Round your answers to four decimal places.) (a) Write the appropriate Poisson probability function. f ( x ) = (b) Compute f(2). f(2) = (c) Compute f(1). f(1) = (d) Compute P(x 2 2). P(x 2 2) = Need Help? Read It