1a) If X is the random variable defined as “ the number of heads when a coin is tossed 5 times”. (i) Outline and analyze the sample space, comment on the random Variable, X where numerical values are assigned. (ii) Derive by analysis the Probability distribution function(PDF) of X. b) It is known that 90% of a defected computers can be repaired. A sample of 20 computers is selected randomly, find the probability that; (i) At least 3 computers can be repaired. (ii) 5 or less can be repaired. (iii) None can be repaired Based on your output for these, how will you advised after a critical analysis from your output.
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.
1a) If X is the random variable defined as “ the number of heads
when a coin is tossed 5 times”.
(i) Outline and analyze the
Variable, X where numerical values are assigned.
(ii) Derive by analysis the
b) It is known that 90% of a defected computers can be
repaired. A sample of 20 computers is selected randomly, find
the probability that;
(i) At least 3 computers can be repaired.
(ii) 5 or less can be repaired.
(iii) None can be repaired
Based on your output for these, how will you advised after a critical analysis
from your output.
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