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 or2 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 iworks) = 0.7 for i = 1, 2 and =0.66 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.)234 Suppose that the proportions of blood phenotypes in a particular population are as follows:ABАВ0.460.150.020.37Assuming 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 tofour decimal places.)What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)

Answered: Suppose that the proportions of blood…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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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

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 $P (A a n d B) = P (A) \times P (B)$

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

$\begin{array}{rcl} P (O a n d O) & = & P (O) \times P (O) \\ = & 0.37 \times 0.37 \\ = & 0.1369 \end{array}$

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

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