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Problem #2: The initial Phase 3 clinical data of Pfizer vaccine against Covid-19 shows an efficacy rate of 95%. To verify if this holds true, a random sample of 200 people who received full dosage of Pfizer vaccine was selected and asked whether they contracted Covid-19 after being fully vaccinated. a. Check if the distribution of the sample proportion will approximate the normal curve. b. Specify the parameters (Up, Op) of the sampling distribution. c. What is the probability that the sample proportion exceeds 96%? d. What is the probability that the sample proportion is below 93%? e. If the sample proportion was determined to be 92%, construct and interpret a 90% confidence interval for the true efficacy rate of Pfizer vaccine. f. If the researchers want to estimate the efficacy rate with 99% confidence and maximum error of 2%, how many samples are needed? Use the efficacy rate found in the initial Phase 3 clinical trial as the value for p