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please explain in detail 3. Among eight plasma televisions received by a home el

ID: 3040931 • Letter: P

Question

please explain in detail

3. Among eight plasma televisions received by a home electronics firm in one day, three are defective. If two plasma televisions are selected for sale, what is the probability that both will be nondefective? (Assume that the two selected for sale are chosen in such a way that every possible sample of size two has the same probability of being selected.) 4. Ten applicants have applied for two iobs. How many ways can the jobs be fi lled if the following additional information is known? a. The first person chosen receives a higher salary than the second. b. T here are no differences between the jobs.

Explanation / Answer

Ans:

3)

Probability of being defective=3/8

Probability of not being defective=1-(3/8)=5/8

P(both will be non defective)=(5/8)*(5/8)=25/64=0.3906

4)

a)here order matters,so it is permutations.

so,number of ways jobs can be filled in=10P2=10*9=90

b)order does not matter,so it is combinations.

so,number of ways jobs can be filled in=10C2=(10*9)/(2*1)=45