Amanufacturing machine has a 1% defect rate. if 10 items are chosen at random, what is the probability that at least one will have a defect?

probability (at least one defect is) is 0.096517 or 9.65 %

Explanation:

Given data

defect rate = 1%

no of sample = 10

to find out

probability at least one will have a defect

solution

we know here probability of defect is

Probability (defect) = 0.01

and n is 10

so

probability (at least one defect is) = 1 - probability (none)    1

we know probability (none)  = 0.99^n

probability (none)  = 0.99^10

put this in equation 1

probability (at least one defect is) = 1 - 0.99^10

probability (at least one defect is) is 0.096517 or 9.65 %

i will answer your question if you answer mine

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .