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Random x Random (Posted on 2009-08-17) Difficulty: 4 of 5
Let x and y each be random real numbers chosen from the uniform interval (0,1). Call the product of these numbers z.

1) Find the probability that z is in the interval (.1,.2)

2) Find the probability that z is any decimal whose first digit when written in scientific notation is a 1.

Bonus) Find the full probability distribution of the first digit of z.

Note: Give all answers as exact numbers in closed form.

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

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  Subject Author Date
SolutionsolutionCharlie2009-08-17 18:53:29
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