The distribution of X, the time it takes women between 50 and 55 to run a 10k race, is such that the event A (X between 40 and 60 minutes) has P(40 < X < 60) = 0.8; the event B, taking between 50 and 90 minutes has P( 50 < X< 90) = 0.2; and the event C, taking between 50 and 60 minutes, has P(50 < X < 60) =0.1. For a runner woman chosen at random from the population in this age group, compute the probability that she is in at least one of A or B. Select one: O a. 0.3 O b. 0.9 O c. 0.8 O d. 0.2

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The distribution of X, the time it takes women between 50 and 55 to run a 10k race, is such that the event A (X between 40
and 60 minutes) has P(40 < X < 60) = 0.8; the event B, taking between 50 and 90 minutes has P( 50 < X< 90) = 0.2; and the
event C, taking between 50 and 60 minutes, has P(50 < X < 60) =0.1. For a runner woman chosen at random from the
population in this age group, compute the probability that she is in at least one of A or B.
Select one:
O a. 0.3
O b. 0.9
O c. 0.8
O d. 0.2
Transcribed Image Text:The distribution of X, the time it takes women between 50 and 55 to run a 10k race, is such that the event A (X between 40 and 60 minutes) has P(40 < X < 60) = 0.8; the event B, taking between 50 and 90 minutes has P( 50 < X< 90) = 0.2; and the event C, taking between 50 and 60 minutes, has P(50 < X < 60) =0.1. For a runner woman chosen at random from the population in this age group, compute the probability that she is in at least one of A or B. Select one: O a. 0.3 O b. 0.9 O c. 0.8 O d. 0.2
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