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What is the largest integer k such that 3/2 x 2/1 x 1/2 x 2/3 x 3/4 x .... x k/(k + 1) >= 1/8?

User Jay Spang
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6 votes

Answer:

1

Explanation:

First, take a look at this.

We also know that we can cancel out a lot of fractions.

1. DISCRETE RANDOM VARIABLES

1.1. Definition of a Discrete Random Variable. A random variable X is said to be discrete if it can

assume only a finite or countable infinite number of distinct values. A discrete random variable

can be defined on both a countable or uncountable sample space.

1.2. Probability for a discrete random variable. The probability that X takes on the value x, P(X=x),

is defined as the sum of the probabilities of all sample points in Ω that are assigned the value x. We

may denote P(X=x) by p(x) or pX(x). The expression pX (x) is a function that assigns probabilities

to each possible value x; thus it is often called the probability function for the random variable X.

1.3. Probability distribution for a discrete random variable. The probability distribution for a

discrete random variable X can be represented by a formula, a table, or a graph, which provides

pX (x) = P(X=x) for all x. The probability distribution for a discrete random variable assigns nonzero

probabilities to only a countable number of distinct x values. Any value x not explicitly assigned a

positive probability is understood to be such that P(X=x) = 0.

User Victorkt
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