Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 500 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. No, because nq <5. Yes, because both np ≥5 and nq ≥5. No, because np <5.
Decide whether you can use the
A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 500 adults and ask them to name their favorite sport. Complete parts (a) through (d).
Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
- No, because nq <5.
- Yes, because both np ≥5 and nq ≥5.
- No, because np <5.
(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 36.
__
(Round to four decimal places as needed.)
(d) Identify any unusual events. Explain.
A.
The
B.
The event in part (a) is unusual because its probability is less than 0.05.
C.
The event in part (b) is unusual because its probability is less than 0.05.
D.
There are no unusual events, because all of the probabilities are greater than 0.05.
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