Question

according to a recent survey 85 percent of high school students own a personal media player. what is the probability that 6 out of 10 random highschool students own a personal media player

Answer 1

The probability is 0.04.

Define probability sampling.

The sampling probability of an element or member of the population in statistics, in the theory relating to sampling from finite populations, is its likelihood of being included in the sample during the drawing of a single sample.

Probability sampling refers to the selection of a sample from a population when this selection is based on the principle of randomization, that is, random selection or chance. When compared to non-probability sampling, probability sampling is more difficult, time-consuming, and typically more expensive.

Solution Explained:

Given,

x = 7, n = 10, p = 0.85 and q = 0.15

Using the formula,

P(X=6) = $_{n}C_{x} (0.85)^{n} (0.15)^{x}$

           = $_{10}C_{6} (0.85)^{6} (0.15)^{4}$

           = 210(0.377)(0.0005)

           = 0.04

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