SOLUTION: In a binomial distribution n = 7 and p = 0.25. Find the probabilities of the following events: (Round the final answers to 3 decimal places.) a. x = 2. Probability:

Algebra ->  Probability-and-statistics -> SOLUTION: In a binomial distribution n = 7 and p = 0.25. Find the probabilities of the following events: (Round the final answers to 3 decimal places.) a. x = 2. Probability:       Log On


   

Question 1118075: In a binomial distribution n = 7 and p = 0.25. Find the probabilities of the following events: (Round the final answers to 3 decimal places.)

a. x = 2.

Probability:

b. x ≤ 2 (the probability that x is equal to or less than 2).

Probability:

c. x ≥ 3 (the probability that x is equal to or greater than 3).


Probability:
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The probability of successes in trials where the probability of succcess on any single trial is is given by



The probability of the number of successes being less than or equal to in trials is:



The probability of the number of successes being greater than or equal to in trials is:



Note that

, so for your third problem, you will have one less term to calculate if you use:



Some calculation shortcuts:







John

My calculator said it, I believe it, that settles it