Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie
draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed
with a mean of 38 flowers and a standard deviation of 1.8 flowers. The number of flowers Bennie draws in 1 minute,
B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2.6 flowers. Let D represent
the difference, A-B, in the number of Alicia's and Bennie's flowers drawn in 1 minute.
What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?
O 0.077
O 0.171
0.829
O 0.923

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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