Question

The world’s population (~8 billion) has been infected by a zombie outbreak with 25% of the world’s population being infected with the virus. Assume you were on a bus meant to evacuate with 50 random strangers. Use this information to answer the following questions below

1----- Select the following choices necessary to apply Central Limit Theorem.

Select one or more:

a) The sample is mutually exclusive.
b) The sample size is small.
c) The sample size is large.
d) The sample is independent.
e) The sample is random.
f) The sample is dependent.
g) The population is relatively large.

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2--- What would be the mean of the sampling distribution for proportions? (Keep answers as decimals.)

3--- What is the standard error (SE) for the sampling distribution for proportions? (Round your answers to 4 decimal places.)

4--- What is the probability that at most 30% of the survivors on the bus are infected? (Round your answers to four decimal places.)

5--- What is the probability that at least 20% of them are infected?

Answer 1