Question
In: Statistics and Probability
I.- QUESTION Based on several studies, a company has classified, according to the possibility of discovering...
I.- QUESTION
Based on several studies, a company has classified, according to the possibility of discovering petroleum, the geological formations in three types: I, II and III.
The company intends to drill a well in a certain site that is assigned the probabilities of 0,35; 0, 40 and 0, 25 for the three types of formations, respectively. According to experience, it is known that oil is found in 40% of type I formations, 20% of type II formations and 30% of formations
type III.
a.What is the probability of discovering oil?
b.What is the probability of discovering oil and that the geological formation is not of type I?
c.If the company does not discover oil at that location, determine the probability that there is a type II formations.
II.-QUESTION
The average number of claims to an insurance company is 3 claims per day.
a. Find what is the probability that in a week there will be at least 5 days, 2 or 3 or 4
demands.
b. Determine the probability that in a month, at least 15 days and at most 22 days, the number of
demands is between 3 and 6 demands.
III.- QUESTION
The diameter of a dot produced by a printer can be associated with a v.a.c. normally
distributed. It is known that 97, 72% of the time its diameter is greater than 0.0012 inches and 0, 62% of the times its diameter is less than 0.001 inches. a. Find the mean and variance of the diameter of the point.
b. Find the IP that the diameter of a point is greater than 0,0026 inch.
c. Find the IP that a diameter is between 0,014 and 0, 0026 inch.
d. What is the maximum variability that will be achieved so that the IP of a diameter is between 0, 0014 and 0,0026 inches is 99,5%.?
Solutions
orchestra answered 1 year agoRelated Solutions
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