Consider a process for making nickel battery plates, meets specs40% of time. Let

Question

Consider a process for making nickel battery plates, meets specs40% of time. Let Y be the # of plates they make until successful.
a. Find the Prob that they require 4 attempts to make firstsuccess b. find prob that they require more than one attempt to makeher their successful plate c. Find the expected # of attempts until her first success,the variance and std dev d. Find the prob that she requires ten attempts to make herthird successful plate e. find the expected number of attempts until her thirdsuccess, the varience and the std dev
a. Find the Prob that they require 4 attempts to make firstsuccess b. find prob that they require more than one attempt to makeher their successful plate c. Find the expected # of attempts until her first success,the variance and std dev d. Find the prob that she requires ten attempts to make herthird successful plate e. find the expected number of attempts until her thirdsuccess, the varience and the std dev

Explanation / Answer

probability of success = p = 0.4 probability of failure, q = 0.6 a. the Prob that they require 4 attempts to make first success= 0.6 x 0.6 x 0.6 x 0.4 = 0.0864 b. prob that they require more than one attempt to make hertheir successful plate = 1-(probability that its successful in one attempt) =1-0.4=0.6 a. the Prob that they require 4 attempts to make first success= 0.6 x 0.6 x 0.6 x 0.4 = 0.0864 b. prob that they require more than one attempt to make hertheir successful plate = 1-(probability that its successful in one attempt) =1-0.4=0.6

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