There are four colors in bag containing f(x) plastic chips it is known that 34%

Question

There are four colors in bag containing f(x) plastic chips it is known that 34% of the are yellow. On average, how many chips from random sample of 30 (with replacement) would be expected to be yellow? round to the neared whole chip. A) About 10 B) Not enough information to determine expected value. C) About 5 D) About 16 Suppose that New Mexico lawmakers survey 160 randomly selected registered voters to see if they favor stricter laws regarding motorcycle helmet use for under over the age of 17. The lawmakers believe the population proportion in favor of changing the law is 6% (based on historical data and previous voters). Which of the following conditions for the Central Limit theorem are not met? A) The population proportion is too small and will not have enough expected failures. B) Relative to the population, the sample is not large enough. C) The population proportion is too small and will not have enough expected D) None of these, all the conditions of the CLT are met.

Explanation / Answer

12)as the experiment is done with replacement we can apply binomial distribution here as probability is independent

hence expected numbre =0.34*0.3=10.2 ~10 option A

13)as np=160*0.06<10

hence option C is correct

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