Event A Answer:
<u>Step-by-step explanation:</u>
sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:
8 = 26, 35, 44, 51, 62 (5 possibilities)
9 = 36, 45, 54, 63 (4 possibilities)
10 = 46, 55, 64 (3 possibilities)
11 = 56, 65 (2 possibilities)
12 = 66 (1 possibility)
This is a total of 15 possibilities out of 36 total: =
***********************************************************************************
Event B Answer:
<u>Step-by-step explanation:</u>
sum is an even number means both dice are odd or both dice are even. That results in the following combinations:
11 13 15
22 24 26
31 33 35
42 44 46
51 53 55
62 64 66
This is a total of 18 possibilities out of 36 total: =
We add 25/8 yards and 1 3/4 yards together.
First we convert 1 3/4 to an imp. fraction 7/4.
In order to add fractions, they must have the same common denominator. So we multiply both sides of the fraction 7/4 by 2 to get 14/8. Now we can add 25/8 yards and 14/8 yards together to get 39/8 yards.
Answer:
9
Step-by-step explanation:
From the given sample data in the table on the backpack weight, we have;
(a) The means of the samples are;
- First sample = 6.375
- Second sample = 6.375
- Third sample = 6.625
(b) The range is 0.25
(c) The true statements are;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
<h3>How can the mean of the sample means be found?</h3>
(a) The sample means of each of each of the three samples are found as follows;
Where;
x = The value of a data point
n = Sample size
The mean of the first sample, S1, data is therefore;
3+7+8+3+7+9+6+8 = 51
Which gives
- Mean of the first sample = 6.375
Similarly, we have;
8 +6+4+7+9+4+6+7 = 51
Which gives;
Mean of the second sample = 6.375
9+4+5+8+7+5+9+6 = 53
Which gives;
- Mean of the third sample = 6.625
(b) The range of the means of the sample means is found as follows;
Range = Largest value - Smallest value
Which gives;
- Range of the sample means = 6.625 - 6.375 = 0.25
(c) The population mean is given by the mean of the sample means. That is, a very good estimate of the sample mean is given by the mean of the sample means.
The true statements are therefore;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
Learn more about the mean of the sample means of a collection of data here:
brainly.com/question/15020296
#SPJ1