Suppose that the proportions of blood phenotypes in a particular population are as follows: A B АВ 0.46 0.15 0.02 0.37 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)

MATLAB: An Introduction with Applications
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Please help with part a, b (first screenshot) and part c (second screenshot)! 

Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or
2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i
works) = 0.7 for i = 1, 2 and =
0.66 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.)
2
3
4
Transcribed Image Text:Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.7 for i = 1, 2 and = 0.66 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.) 2 3 4
Suppose that the proportions of blood phenotypes in a particular population are as follows:
A
B
АВ
0.46
0.15
0.02
0.37
Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to
four decimal places.)
What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
Transcribed Image Text:Suppose that the proportions of blood phenotypes in a particular population are as follows: A B АВ 0.46 0.15 0.02 0.37 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
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Given Information:

Suppose that the proportions of blood phenotypes in a particular population are:

A B AB O
0.46 0.15 0.02 0.37

(a) Assuming that the phenotypes of two randomly selected individuals are independent of one another, to find the probability that both phenotypes are O:

If two events A and B are independent, then PA and B=PA×PB

So, probability that both phenotypes O are independent and required probability is obtained as follows:

PO and O=PO×PO=0.37×0.37=0.1369

Thus, the probability that both phenotypes of two randomly selected individuals is O is 0.1369

 

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