A survey of 600 randomly selected high school students determined that 291 play

Question

A survey of 600 randomly selected high school students determined that 291 play organized sports (b) Interpret this probability (a) The probability that a randomly selected high school student plays organized sports is (Round to the nearest thousandth as needed.) (b) Choose the correct answer below. 0 A. O B. C. O D If 1000 high school students were sampled, it would be expected that about 485 of them play organized sports. If 10,000 high school students were sampled, it would be expected that about 485 of them play organized sports. lf 1000 high school students were sampled, it would be expected that exactly 485 of them play organized sports. lf 10,000 high school students were sampled, it would be expected that exactly 485 of them play organized sports.

Explanation / Answer

Given that,

A survey of 600 randomly selected high school students determined that 291 play organized sports.

a) The probability that a randomly selected high school student plays organized sports is 291/600 = 0.485

b) Correct answer is,

C) If 1000 high school stidents were sampled, it would be expected that exactly 485 of them play organized sports.

Since , E(X) = np = 1000*0.485 = 485

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