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Let X be a Binomial Random Variable with 8 trials and a probability of success as 0.37. Suppose you want to find k such that P(X < k) = 0

Home/Math/Let X be a Binomial Random Variable with 8 trials and a probability of success as 0.37. Suppose you want to find k such that P(X < k) = 0

Let X be a Binomial Random Variable with 8 trials and a probability of success as 0.37. Suppose you want to find k such that P(X < k) = 0

Question

Let X be a Binomial Random Variable with 8 trials and a probability of success as 0.37. Suppose you want to find k such that P(X < k) = 0.6625. What is the value of k?

## Answers ( )

Answer:k = 4

Step-by-step explanation:Binomial probability distributionThe binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:. So

P(X < k) = 0.6625

k only assumes discrete values, so

We have to find the cummulative distribution until we hit 0.6625. So

So k = 4