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kirill [66]
3 years ago
11

Help please this is my last hope

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0

Answer:

????

Step-by-step explanation:

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Answer:

P(X\geq 9)=P(X=9)+P(X=10)

And using the probability mass function we got:

P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383  

P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402  

And replacing we got:

P(X \geq 9) = 0.383 +0.402= 0.785

Step-by-step explanation:

Let X the random variable of interest "number of  students graduated", on this case we now that:  

X \sim Binom(n=10, p=0.913)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

We want to find the following probability:

P(X\geq 9)=P(X=9)+P(X=10)

And using the probability mass function we got:

P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383  

P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402  

And replacing we got:

P(X \geq 9) = 0.383 +0.402= 0.785

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