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July 10th, 2011, 02:49 AM   #1
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Probability question

1.The probability that a heart patient survives after surgery in a country is 0.85.
a)Find the probability that,out of five randomly chosen heart patients undergoing surgery,four survive.
b)Using suitable approximation distribtuion,find the probability that more than 160 suvive after surgery in a randmo of 200 heart patient.

I need help with this question.
I use P(x=4) to solve part (a) but can't give the actual answer.And i am not sure what type of probability is it.I need help.Thank you.
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July 10th, 2011, 04:35 AM   #2
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Re: Probability question

Quote:
Originally Posted by hoyy1kolko
1.The probability that a heart patient survives after surgery in a country is 0.85.
Quote:
And i am not sure what type of probability is it.I need help.Thank you.
Binomial

Quote:
a)Find the probability that, out of five randomly chosen heart patients undergoing surgery, four survive.


Quote:
]b )Using suitable approximation distribution,find the probability that more than 160 survive after surgery in a random of 200 heart patient.




Since they ask the probability of "more than 160", we use a continuity correction. Use 160.5

.



Now, look this up in the z table.
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July 10th, 2011, 05:00 AM   #3
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Re: Probability question

Thank you very much.I have refer to the z table

i find that

P Q Z
0.970 0.30 1.881

So,the probability is 0.97.Right?
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July 10th, 2011, 06:17 AM   #4
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Re: Probability question

Yep.
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