<span><span><span>9/10 - 7/20=(9x20) - (7x10)= 10x20= 110/200 110 divided by 10/ 200 divided by 10= 11/20. So that brings you to your answer of 11/20. hope this helps :)
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Looks like the PMF is supposed to be

which is kinda weird, but it's not entirely clear what you meant...
Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

Next,





If

, then

, where we take the positive root because we know

can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that

can take on the values

,

, and

. At these values of

, we would have the same probability as we did for the respective value of

. That is,

Part (5) is incomplete, so I'll stop here.
In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.
Answer:70%
Step-by-step explanation: no. of cards last year=60
no. of cards presently=200
increase in no. of cards=200-60
=140
%change=140/200 x 100
--------------------------------------------------------------------
Total time spent on work, drive cook and sleep
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------------------------------------------------------------------
Calculate Free Time
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24 - 18 = 6
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Answer: 6 hours of free time------------------------------------------------------------------