Events:
1 ≤ n ≤ 100
A=x is a perfect square, i.e. x=n^2
B=x is odd, i.e. n is odd
P(A|B)
=P(A∩B)/P(B) by definition of conditional probability
(reads Probability that the number is a perfect square given that it is odd)
Since there are 10 perfect squares between 1 to 100 (1,4,9,16,25,36,49,64,81,100), out of which 5 are odd {1,9,25,49,81)
So P(A∩B)=5/100
P(B)=probability of odd x {1,3,5,7,.....95,97,99}
= 50/100=1/2
Therefore
P(A|B)=(5/100)/(1/2)=1/10
What is the mean,median,mode,range of 0,0,1,3,3,4,5,5,7,7,7,7,7,10,18,50?
vodomira [7]
To find the median, we will list our numbers from least to greatest, and then cross out the smallest number and the biggest number.
0,0,1,3,3,4,5,5,7,7,7,7,7,10,18,50.
0,1,3,3,4,5,5,7,7,7,7,7,10,18.
1,3,3,4,5,5,7,7,7,7,7,10.
3,3,4,5,5,7,7,7,7,7.
3,4,5,5,7,7,7,7.
4,5,5,7,7,7.
5,5,7,7.
5,7.
Since we cannot find a middle number, add the last two numbers up and divide by 2.
5+7 = 12. 12/2=6.
Our median is 6.
The mean is the sum of all numbers divided by how many numbers we have.
0+0+1+3+3+4+5+5+7+7+7+7+7+10+18+50= 132.
We have 16 numbers total.
132/16 = 8.25.
Our mean is 8.25.
The mode is the number that appears the most within the given list.
7 appears the most.
Your mode is 7.
The range is the difference between the largest number and the smallest number.
Our largest number is 50 and our smallest number is 0. The difference of two numbers means to subtract. Subtract 0 from 50.
50-0 = 50.
Your range is 50.
I hope this helps!
Answer:
The number of pounds of apples she bought = 10 pounds
The number of pounds of tomatoes she bought = 10 pounds
The number of pounds of the farmers cheese she bought = 5 pounds
The number of pounds of peaches she bought = 6 pounds
