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 400 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. O A. No, because np < 5. B. No, because ng < 5. C. Yes, because both np 25 and ng 25. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (Raund to four decimal places as needed.)

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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 400 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.
O A
No, because np < 5.
O B. No, because ng < 5.
'C. Yes, because both np 2 5 and ng 25.
(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30
(Rqund to four decimal places as needed.)
I,
()
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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 400 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. O A No, because np < 5. O B. No, because ng < 5. 'C. Yes, because both np 2 5 and ng 25. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30 (Rqund to four decimal places as needed.) I, () More Enter your answer in the answer box and then click Check Answer. Final Check Clear All parts O remaining 9:36 PM 2/9/2021 P Type here to search End Poup Po Dr PrtScn Home 8 G H
Expert Solution
Step 1

Given:

  • Probability of auto racing, p=6%=0.06.
  • Number of sample space, n=400.

The objective is

a) To find the probability that the number of people who says auto racing is their favorite sport is at most 30.

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