We are given frequency distribution in the question
to find the probability distribution from frequency distribution we need to divide frequency by total number of observations.
Here, total number of observations are 6+10+7+5=28
so , we will have probability distribution table as
X 0 1 2 3
P(x) .21 .35 .25 .17
probability distributiuon describes all possible values that a random variable can take within a given range.
frequency distribution is the presentation that presents number of observation in given interval.
Answer:
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7531
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg
The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
Angles TRS and VRW are vertical angles, so we can set them equal to each other to get x:
x+40=3x
40=2x
20=x
So the value of x is 20
In math, 'of' means 'multiplied by,' so 15% of 32 translates to '15% * 32.'
Now solve the equation:
x = 15% * 32
x = .15 * 32
x = 4.8