Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some form of technology to find the cumulative probability distribution given the probability p=0.24p=0.24 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X < k) 0   1   2   3   4   5

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some form of technology to find the cumulative probability distribution given the probability p=0.24p=0.24 of success on a single trial.

(Report answers accurate to 4 decimal places.)

k P(X < k)
0  
1  
2  
3  
4  
5  
Expert Solution
Step 1

Given that p=0.24n=5.

Since p=0.24 then 

1-p=1-0.24=0.76

(a) k=0,

p(k<0)=1-p(k0)=1-p(k=0)-p(k=1)-p(k=2)-p(k=3)-p(k=4)-p(k=5)=1-1=0

Since probability of the binomial probability is 1.

The formula for binomial probability distribution is,

p(n=k)=nkpk1-pn-k

(b) k=1

So,

pk=0=p01-p5=0.765 

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