Human blood may contain either or both of two antigens, A and B. Blood that contains only the A antigen is called type A, blood that contains only the B antigen is called type B, blood that contains both antigens is called type AB, and blood that contains neither antigen is called type O. At a certain blood bank, 35% of the blood donors have type A blood, 10% have type B, and 5% have type AB. (i) What is the probability that a randomly chosen blood donor is type O? (ii) A recipient with type A blood may safely receive blood from a donor whose blood does not contain the B antigen. What is the probability that a randomly chosen blood donor may donate to a recipient with type A blood? (b) A box contains 10 fuses. Eight of them are rated at 10 amperes (A) and the other two are rated at 15 A. Two fuses are selected at random. (i) What is the probability that the first fuse is rated at 15 A? (ii) What is the probability that the second fuse israted at
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Human blood may contain either or both of two antigens, A and B. Blood that contains
only the A antigen is called type A, blood that contains only the B antigen is called type B,
blood that contains both antigens is called type AB, and blood that contains neither antigen
is called type O. At a certain blood bank, 35% of the blood donors have type A blood, 10%
have type B, and 5% have type AB.
(i) What is the probability that a randomly chosen blood donor is type O?
(ii) A recipient with type A blood may safely receive blood from a donor whose blood does not
contain the B antigen. What is the probability that a randomly chosen blood donor may
donate to a recipient with type A blood?
(b) A box contains 10 fuses. Eight of them are rated at 10 amperes (A) and the other two are
rated at 15 A. Two fuses are selected at random.
(i) What is the probability that the first fuse is rated at 15 A?
(ii) What is the probability that the second fuse israted at 15 A, given that the first fuse is rated
at 10 A?
(iii) What is the probability that the second fuse is rated at 15 A, given that the first fuse is rated at 15 A?
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