## Statistics homework help

It has been concluded from the study that 70% of the shoppers in the shopping center make their purchases on weekends and also spend more money during that period.

If the amount of money buyers spend on Saturdays between 5 pm and 8 pm has a normal distribution with mean $ 90 and standard deviation of $ 5. Then you select a buyer at random and want to determine how they will spend their money.

1. What is the probability that he spent more than $ 90? And the one that has spent less than USD 90?

2. What is the probability that he spent between $ 80 and $ 100?

3. Standardize the probability distribution

4. Find the probability that you spent less than $ 50 but using the new standardized function.

5. Represent graphically.