A problem from reading Science Magzine

ammon

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Hi, a problem come from a article from : https://science.sciencemag.org/content/368/6491/553 said:

Many avenues will be dead ends, so many different paths—each corresponding to an independent effort—should be pursued. Consider funding 10,000 such efforts. Even if each had only a 0.1% chance of producing an advance in prevention, treatment, or infection control, the probability of at least five such advances would be 97%. By contrast, if efforts crowd into only a few prospects, the odds of collective failure can become overwhelming.

"the probability of at least five such advances would be 97%"
How did it be deduced and calculated?
Thank you very much!
 
Hi, a problem come from a article from : https://science.sciencemag.org/content/368/6491/553 said:

Many avenues will be dead ends, so many different paths—each corresponding to an independent effort—should be pursued. Consider funding 10,000 such efforts. Even if each had only a 0.1% chance of producing an advance in prevention, treatment, or infection control, the probability of at least five such advances would be 97%. By contrast, if efforts crowd into only a few prospects, the odds of collective failure can become overwhelming.

"the probability of at least five such advances would be 97%"
How did it be deduced and calculated?
Thank you very much!
Please show us what you have tried and exactly where you are stuck.​
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You can use the binomial distribution to work this out. Have you tried that? Or perhaps a normal approximation to it?
 
Great tips instructive and I will be doing my homework. Thank you very much Dr.Peterson!
 
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