NEED SOME HELP WITH THIS STATISTICS PROBLEM. THANK YOU!! [20 points] Consider th

Question

NEED SOME HELP WITH THIS STATISTICS PROBLEM. THANK YOU!!

[20 points] Consider the following table to indicate the number of degrees awarded by a university in a particular year, classified by types of degree and the gender of the recipient. Assume that nobody received more than one degree during the year. Gender Type of degree Female Male Total Bachelor 645 505 1150 Master 227 161 388 Professional |Doctoral 32 40 72 Total 922 732 1654 26 Suppose a person is chosen at random from the 1654 recipient in the study. For each of the three following pairs of events, indicate whether or not they are exhaustive, whether they are disjoint, and whether or not they are independent: (i) "professional" and "doctoral"; (ii) "professional" and "male"; (iii) "professional" and "female" a. b. Find: (i) P(bachelor l female); (ii) P(female l bachelor); (iii) P(female or bachelor); (iv) P(female and bachelor).

Explanation / Answer

a)

a) Not exhaustive , Disjoint, Independent

b) Not exhaustive, Not disjoint, Not independent

c)Not exhaustive, Not disjoint, Not independent

2) P( bachelor/female)= 645/922

P(female/bachelor)= 645/1150

P( female or bahelor)=(922+505)/1654=1427/1654

P(female and bachelor) = 645/1654

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