1(a). Let F be the event that a person chosen at random is a female and L be the event that a person chosen at random is left-handed. Describe in words the events (i) FNL, (ii) FUL, (iii) FOL, (iv) F°NL°. 1(b). Referring to part (a) of this question, suppose that Prob(F) = 0.6 and Prob(L) = 0.1, and that Prob(FUL) = 0.65. From this information find Prob(FNL) and from this assess whether F and L are dependent or independent events. 1(c). Referring to part (b) of this question, find the conditional probability of the event F, giver that the event L has occurred. From this calculation assess whether the events F and L are dependent or independent.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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1(a). Let F be the event that a person chosen at random is a female and L be the event that a
person chosen at random is left-handed. Describe in words the events (i) FNL, (ii) FUL, (iii)
FOL, (iv) F°NL°.
1(b). Referring to part (a) of this question, suppose that Prob(F) = 0.6 and Prob(L) = 0.1, and
that Prob(FUL) = 0.65. From this information find Prob(FNL) and from this assess whether F
and L are dependent or independent events.
1(c). Referring to part (b) of this question, find the conditional probability of the event F, given
that the event L has occurred. From this calculation assess whether the events F and L are
dependent or independent.
Transcribed Image Text:1(a). Let F be the event that a person chosen at random is a female and L be the event that a person chosen at random is left-handed. Describe in words the events (i) FNL, (ii) FUL, (iii) FOL, (iv) F°NL°. 1(b). Referring to part (a) of this question, suppose that Prob(F) = 0.6 and Prob(L) = 0.1, and that Prob(FUL) = 0.65. From this information find Prob(FNL) and from this assess whether F and L are dependent or independent events. 1(c). Referring to part (b) of this question, find the conditional probability of the event F, given that the event L has occurred. From this calculation assess whether the events F and L are dependent or independent.
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