In a survey of 2541 adults aged 18 years and older51% of respondents claimed tha

Question

In a survey of 2541 adults aged 18 years and older51% of respondents claimed that it was easier to make friends in person, whereas 49% thought that it was easier to do so through social- networking sites. Assuming that these results apply to the entire adult population, what is the probability that at most 3 out of 6 adults chosen at random hold the opinion that it is easier to make friends through social -networking sites? (Round your answer to four decimal places.) Need Help? Read It D 11. -2 points TanFin12 8.4.037.CMI My Notes Ask Your Teache The probability that a DVD player produced by vCA Television is defective is estimated to be 0.09. A sample of ten players is selected at random. (Round your answers to four decimal places.) (a) what is the probability that the sample contains no defective units? (b) What is the probability that the sample contains at most two defective units?

Explanation / Answer

Probability that a player is defective = 0.09

Probability that a player is not defective = 1 - 0.09 = 0.91

(a) Probability that the sample contains no defective players = 0.9110 = 0.3894.

(b) Probability that the sample contains one defective player = 10 * 0.09 * 0.919 = 0.3851

Probability that the sample contains two defective players = 10C2 * 0.092 * 0.918 = 45 * 0.092 * 0.918 = 0.1714

=> Probability that the sample contains at most two defective players = 0.3894 + 0.3851 + 0.1714 = 0.9459.

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