Answer:
A Cumulative probability distribution for the number of tires bought is prepared below.
Step-by-step explanation:
We are given that Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy fewer than two tires, with 6% buying none.
The cumulative probability distribution for the number of tires bought is given by;
<u>No. of tires</u> <u>Probability Distribution</u> <u>Cumulative Probability</u>
<u>Distribution</u>
0 6% 6%
1 6% 12%
2 22% 34%
3 6% 40%
4 60% 100%
Now, here we are given within the question about:
P(0 tires) = 6%
P(2 tires) = 22%
P(4 tires) = 60%
Also, P(Fewer than 2 tires) = 12% which means P(0 tires) + P(1 tire) must be equal to 12%. So, P(1 tire) = 12% - 6% = 6%.
And, in the end P(3 tires) = 100% - 6% - 6% - 22% - 60% = 6%.
Answer:
Option 2
Step-by-step explanation:
A 68% prediction interval for the output of 120 workers will be an interval which is of the length +/- 1* standard error of regression. Thus 68% PI is 131958 +/- 14994.93 i.e. option 2
The factors of 50a³ are 1, 2, 5, 10, 25, 50,
and their products with a, a² and a³ .
The factors of 10a² are 1, 2, 5, 10,
and their products with 'a' and a² .
Their common factors are 1, 2, 5, 10,
and their products with 'a' and a².
Their greatest common factor is 10a² .
(Another way to spot it, easily, is to remember this helpful factoid:
If the smaller number is a factor of the larger number,
then the smaller number is their greatest common factor.
Using the greatest common factor, then . . .
50a³ + 10a² = 10a²(5a + 1) .
The slope is -10, I used a graph for this.
