Solution

Let 

N_i be the event that i^{th} bearing is not defective. Since, the choice is made from large lot, these events are independent of each other and probability of these events would be same.

Let A be the event that lot is accepted.

                                                    A=N1N2N7






If none of the lot has defective bearing,

P(N_i)=1, ~ \forall i \in \{1, \dots, 7\} and P(A)=1

If \dfrac{1}{10} bearings are defective in the lot,

P(N_i)=1 -0.1=0.9, ~ \forall i \in \{1, \dots, 7\} and P(A)=(0.9)^7 \approx 0.48

If \dfrac{1}{2} bearings are defective in the lot,

P(N_i)=1 -0.5=0.5, ~ \forall i \in \{1, \dots, 7\} and P(A)=(0.5)^7 \approx 0.008

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A= N_1 \cap N_2 \dots \cap N_7

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