Suppose all of the bits of a 32-bit word were IID (independent and identically distributed) Bernoulli random variables with p = 1/2. What is the distribution of the value when it is read as a floating...

Suppose all of the bits of a 32-bit word were IID (independent and identically distributed) Bernoulli random variables with p = 1/2. What is the distribution of the value when it is read as a floating point number? Describe the general behavior of the distribution function.