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The manager of a local department store analyzes a data set collected in 2022 regarding its department store VIP card members' purchase records. The data set indicates the VIP card members' spending amount in year 2022 follows a normal distribution with a mean of $3,700 and a standard deviation of $850. There are 2500 VIP card members included in the data set.
1. How many VIP card members spent between $2,425 and $4,975 in year 2022?
2. To show appreciation to its high spending VIP card members, the manager will offer a $200 gift card to a VIP card member who spent $5,400 or more in year 2022. How many VIP card members will receive these gift cards?
3. To encourage those VIP card members with low spending accounts to shop more often, the manager will mail promotional booklets showing discounted items to these VIP card members. The manager has 500 promotional booklets ready for mailing. Explain which VIP card members should receive these booklets.
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