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Q: How can you determine the probability when x equals 2 in a binomial situation where n equals 7 and pie equals 0.25?
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Can you please tell me the variance and the standard deviation for n equals 80 and p equals 0.3?

For a binomial probability distribution, the variance is n*p*q which is 80*.3*.7 = 16.8. The standard deviation is square root of the variance which is 4.099; rounded is 4.1. The mean for a binomial probability distribution is n*p or 80*.3 or 24.


The probability that an individual is left handed is 0.1 In a class of 30 students what is the probability of finding at least 5 left hander's?

This is a binomial probability distribution. The number of trials, n, equals 30; and the probability of success is p, which is 0.1. In this problem, you want the probability of at least 5, which is the complement of at most 4. We use the complement because we can subtract from 1 that probability and we will have the solution. The related link has the binomial probability distribution table which is cumulative. Per the table, at n=30, p=0.1 and x = 4; the probability is 0.825. Therefore the probability of at least 5 is 1 - 0.825 or 0.175.


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What is the probability of an event occurring to the probability that it will not occur?

The probability that an event will occur plus the probability that it will not occur equals 1.


What if mean equals probability?

It does not matter.


What is the probability that an event will occur between z equals -0.46 and z equals 2.21 on the standard normalized curve?

The probability is 0.664


Five subsystems MTBFs A equals 10540 hrs B equals 10540 hrs C equals 10540 hrs D equals 10540 hrs E equals 3600 hrs Connected series Determine the probability of survival operating period 1000hrs?

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Multiply each term of the binomial by the monomial. Be particularly careful with signs: (+ times +) or (- times -) equals plus or Like signs = + (+ times -) or (- times +) equals minus or Unlike signs = -


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