Question

In: Statistics and Probability

URGENT!!! Can you please solve this example in 50 minutes. In the school, 70% of boys...

URGENT!!!
Can you please solve this example in 50 minutes.

In the school, 70% of boys play basketball, 85% play soccer while 65% of boys play both sports.

a) Find the probability that the randomly chosen boy from the school plays at least one of those sports.

b) The director of the school organized a meeting with Miralem Pjanić and invited all the boys that play soccer. Miralem asked them how many of them play basketball too. What percentage of affirmative responses did he receive? (Enter the percentage to 2 decimal places.)

c) Are the events „The boy plays soccer“ and „The boy plays basketball“ independent? (Check the calculation and then enter 0 for "NO" or 1 for "YES".)

Solutions

Expert Solution

Let A be the event that the randomly chosen boy from the school play basketball.
Let B be the event that the randomly chosen boy from the school play soccer.
It is given that,


  • Here, we are to find, the probability that the randomly chosen boy from the school plays at least one of those sports. That is, we are to find,





  • Here, we are top find the percentage of soccer player who also play basketball.
    That is we are to find:






  • For the two events to be independent,


    Now,





    Hence, the events are not independent.

I hope this clarifies your doubt. If you're satisfied with the solution, hit the Like button. For further clarification, comment below. Thank You. :)


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