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probablyacommunist
06.07.2020 •
Mathematics
2. According to the Center for Disease Control, about 1 in 80 children in the U.S. have been diagnosed with autism. Suppose you consider a group of 10 children. Find the probability that: a) None have autism; b) 4 have autism; c) at least 2 has autism.
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Ответ:
(a) 88.18%
(b) 0.00000226%
(c) 10.7%
Step-by-step explanation:
a) 0 "Have Autism" and 10 "Don't have Autism"
(0.0125)⁰ (0.09875)¹⁰ = 0.8818
= 81.18%
b) 4 "Have Autism" and 6 "Don't have Autism"
(0.0125)⁴ (0.9875)⁶ = 0.0000000226
= 0.00000226%
c) 2 (or more) Have Autism and 8 (or less) Don't Have Autism
It is best to find the opposite and subtract from 100%
0 "Have Autism" and 10 "Don't have Autism" = 0.8818 (see part a)
or
1 "Have Autism" and 9 "Don't have Autism" = (0.0125)¹ (0.9875)⁹
= 0.0112
1 - (0.8818 + 0.0112) = 0.1070
= 10.7%
Ответ: