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 600 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. A. Yes, because both np >5 and nq 2 5. B. No, because nq< 5. C. No, because np< 5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 43. (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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 600
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.
A. Yes, because both np ≥5 and nq ≥ 5.
B. No, because nq < 5.
C. No, because np < 5.
(a) Find the probability that the number of people who say auto racing is their favorite sport is at
most 43.
(Round to four decimal places as needed.)
Transcribed Image Text: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 600 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. A. Yes, because both np ≥5 and nq ≥ 5. B. No, because nq < 5. C. No, because np < 5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 43. (Round to four decimal places as needed.)
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