Torah thoughts #1

Okay, so I've made reference to theatrical stuff, guess it's time for some Jewish-type things to happen as well. Let's start with some questions on the parasha¹:

• What exactly is Yocheved's plan in hiding Moshe? The Medrashic interpretation is that she planned to go back and fetch him after the Egyptian guards searched her house and left. How was she to raise him without being noticed? Was she abandoning him and hoping for the best?
  
• Is Miriam part of the plan, or is she acting on her own?
  
• Moshe is given three signs (stick transmuting to snake, leprosy on hand, and water to blood) to give to the Israelites to win their trust (Ex. 4:9). In 4:29-30, we find that he "did the signs... and the people believed." Did he have to do all three signs? When did they believe?
  

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¹parasha: Weekly biblical portion.