1) A survey of recent first-time home buyers found that 45% of them plan to upgrade to a bigger house within 5 years. You randomly select 30 recent first-time home buyers and ask them whether they plan to upgrade to a bigger home within 5 years.
Determine if we can use the normal approximation to the binomial distribution. What is the standard deviation that we will use for this approximation? Round your answer to the tenths place.
Solution: Determine if we can use the normal approximation to the binomial distribution.
Answer: The conditions for approximating Binomial to Normal are:
and
We are given:
and
Since both the conditions are true. Hence we can use the normal approximation to the binomial distribution
What is the standard deviation that we will use for this approximation?
Answer:
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