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الإحصاء والاحتمالات لتكنولوجيا المعلومات (شعبة 2)
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A disease affects 5% of a population. A test is positive for 10% of people who do not have the disease. If 14% of the population tests positive, what is P(D∣T)?
Suppose x=0,1,2,3, P(X=0)=0.15,P(X=1)=k,P(X=2)=0.35 and P(X=3)=0.25. Find P(X<2).
A bag contains 5 red, 15 green, and 30 blue balls. Two balls are selected without replacement. What is the probability that both have the same color?
A student has a 20% probability of failing an exam. Five students are selected independently.
What is the probability that at least 4 pass?
A password consists of 2 letters followed by 2 digits. Repetition is allowed. How many passwords are possible?