(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 47. (Round to four decimal places as needed.)

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(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 47.

[ ] (Round to four decimal places as needed.)
Transcribed Image Text:(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 47. [ ] (Round to four decimal places as needed.)
**Decision on Using Normal Distribution to Approximate the Binomial Distribution:**

**Problem Statement:**
Evaluate whether the normal distribution can approximate the binomial distribution for the given scenario. Employ normal distribution to estimate probabilities if feasible, otherwise justify the decision and apply the binomial distribution to compute the probabilities.

**Scenario:**
A recent survey indicates that 6% of adults prefer auto racing as their favorite sport. From this population, 600 adults are randomly selected to identify their preferred sport. Analyze parts (a) through (d) based on this data.
Transcribed Image Text:**Decision on Using Normal Distribution to Approximate the Binomial Distribution:** **Problem Statement:** Evaluate whether the normal distribution can approximate the binomial distribution for the given scenario. Employ normal distribution to estimate probabilities if feasible, otherwise justify the decision and apply the binomial distribution to compute the probabilities. **Scenario:** A recent survey indicates that 6% of adults prefer auto racing as their favorite sport. From this population, 600 adults are randomly selected to identify their preferred sport. Analyze parts (a) through (d) based on this data.
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