Answer: The mean for the probability distribution will be 69.25.
Explanation:
Since we given that





As we know the formula for expectation of x i.e. known as mean for the probability distribution,

So, we apply this formula in our case,


Hence, the mean for the probability distribution will be 69.25.
Interest=1250-880=370
I=PRT
P=principal
r=rate in deicmal
t=time in years
1 month so t=1/12
P=880
I=370
370=880*r*1/12
370=220/3r
times both sides by 3
1110=220r
divdie both sides by 220
5.04545=r
505% interest
4t+2c=200
2t+7c=400
I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t
Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each
Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each
Hope this helps! :)