Only about 60% of all donated human blood can be used in hospitals the remaining 40% cannot be used because of various infections in the blood suppose a blood bank has 10 newly donated pints of blood let our be the binomial random variable that represents the number of good pints that can be used. Based on the questionnaires completed by donors it is belief that six out of 10 pints are usable what is the probability that at least eight of the pints are use of all given this belief is true compute probability. Assuming the belief that at least six of the pints are usable is true what is the probability that All 10 pints can be used
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.
Only about 60% of all donated human blood can be used in hospitals the remaining 40% cannot be used because of various infections in the blood suppose a blood bank has 10 newly donated pints of blood let our be the binomial random variable that represents the number of good pints that can be used. Based on the questionnaires completed by donors it is belief that six out of 10 pints are usable what is the
Assuming the belief that at least six of the pints are usable is true what is the probability that All 10 pints can be used
Given Information : Only about 60% of all donated human blood can be used in hospitals the remaining 40% cannot be used because of various infections in the blood suppose a blood bank has 10 newly donated pints of blood let our be the binomial random variable that represents the number of good pints that can be used. Based on the questionnaires completed by donors it is belief that six out of 10 pints are usable.
Let p denotes probability of success that is proportion of all donated human blood can be used in hospitals .
p = 0.6
q denotes compliment of p that is proportion of donated human blood cannot be used because of various infections in the blood
q = 0.4
Define random variable X denotes the number of good pints that can be used .
Here, X ~ B (n=10,p=0.6)
It's probability formula is given as :
P (X=x) =
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