185,802 views
44 votes
44 votes
(b) what is the probability that three randomly selected women from this university are all 67.5 inches or shorter? (give the answer to four decimal places.)

User Andrew T Finnell
by
2.6k points

1 Answer

27 votes
27 votes

the question wants to know haw many women have an height over 66 inch, that is ¯ x + σ from the graph bottom you can see that they are the (13,6+ 2,1) = 15,7% of the whole number of women of the university. of course the probability that of one randomly selected women, one is 66 inches or shorter is 100-15,7 =84,,3 %. The probability that of two randomly selected women, one is 66 inches or shorter and the other is 66 inches or taller is given by the prodoct of the twoo indipendens probalities: p = p 1 × p 2 = 0 , 843 × 0 , 157 × 100 = 13 , 2 % finally the probability that three randomly selected women from this university are all 66 inches or shorter is given by p = p 3 1 = 0 , 843 3 × 100 = 60 %

User Guern
by
2.7k points