A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of adults found that 52% have used a multivitamin in the past 12 months. You randomly select 60 adults and ask them if they have used a multivitamin in the past 12 months. Select the correct answer below and, if necessary, fill in the answer boxes within your choice. O A. No, because np <5. O B. No, because ng <5. OC. Yes, the mean is and the standard deviation is (Round to two decimal places as needed.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![**Binomial Experiment and Normal Approximation**
A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why.
A survey of adults found that 52% have used a multivitamin in the past 12 months. You randomly select 60 adults and ask them if they have used a multivitamin in the past 12 months.
Select the correct answer below and, if necessary, fill in the answer boxes within your choice.
- A. No, because np < 5.
- B. No, because nq < 5.
- C. Yes, the mean is [ ] and the standard deviation is [ ].
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff80291e3-aec2-4ea4-a98f-bb850a0459e0%2F330447ea-7de2-474c-bb63-a9a26201700c%2F2jrxa5_processed.png&w=3840&q=75)
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