a)
has CDF


where the last equality follows from independence of
. In terms of the distribution and density functions of
, this is

Then the density is obtained by differentiating with respect to
,

b)
can be computed in the same way; it has CDF


Differentiating gives the associated PDF,

Assuming
and
, we have


and


I wouldn't worry about evaluating this integral any further unless you know about the Bessel functions.
Answer:
95% Confidence interval: (39.43, 61.58)
Step-by-step explanation:
We are given the following in the question:
Sample mean,
= $50.50
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation = 20
95% Confidence interval:
Putting the values, we get,
95% Confidence interval: (39.43, 61.58)
The pounds increased 1.6 hope this helped
Answer:
$13.77 per person in the family
Step-by-step explanation:
Cost of the meal = $54.65
Sales tax rate = 8%
Sales tax amount = 8% of $54.65
= 8/100 × 54.65
= 0.08 × 54.65
= $4.372
Tip = 18% of $54.65
= 18/100 × 54.65
= 0.18 × 54.65
= $9.837
Total cost of the dinner = Cost of the meal + Sales tax amount + Tip
= $54.65 + $4.372 + $9.837
= $68.859
There are 5 people in the Holcombe family
What was the cost per person for the meal, including sales tax and tip?
cost per person for the meal, including sales tax and tip = Total cost of the dinner / total number of people in the family
= $68.859 / 5
= $13.7718
Approximately
$13.77 per person in the family
Answer:
20.5
Step-by-step explanation:
By the Triangle Midsegment Theorem, the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. Therefore, (1/2)FH ≡ IH, (1/2)HG ≡ HJ. Knowing that IJ = 8 gives you the presidence to solve for the perimeter.