Unformatted text preview: If a student correctly answers the ﬁrst question, the probability that she correctly answers the second question is 0.6. If she answered the ﬁrst question wrongly, then the probability she correctly answers the second question is 0.4. (a) Find the probability that she answers the second question correctly. (b) Given that she answers the second question correctly, ﬁnd the probability that she answered the ﬁrst question correctly. 6. 95% of parts produced by a machine in a day are within the required speciﬁcation. In a given day, ten parts are randomly selected. Find the probability that (a) exactly 1 part is not within speciﬁcation. (b) at least one part is within speciﬁcation. (c) Let X denote the number of parts in the sample of 10 that are within speciﬁcation. Find E ( X ) , E (2 X + 10) , V ar ( X ) and V ar (2 X + 10) . 1...
View
Full
Document
This note was uploaded on 02/15/2012 for the course MATH 211 taught by Professor Javid during the Winter '12 term at Waterloo.
 Winter '12
 Javid
 Addition, Mutually Exclusive

Click to edit the document details