Which expression is not equivalent to the others
1 answer:
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Answer:
Step-by-step explanation:
Use the 10th row of Pascal's Triangle to get you where you need to be. You need 10 rows because any polynomial raised to the 9th power has 10 terms. Those 10 terms are, in order:
1, 9, 36, 84, 126, 126, 84, 36, 9, 1
Setting up for the first 6 terms:
The 6th term is the last one. It goes on from there, but I stopped at the 6th term, since that is what you need.
Simplifying gives us:
and multiplying gives us:
Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.