7. (5 + 4 – 2) х (-2) = ?<br> А. 14<br> В. -22<br> с. -14<br> D.22

A company rounds its losses to the nearest dollar. The error on each loss is independently and uniformly distributed on [–0.5, 0

lesya [120]

Answer:

the 95th percentile for the sum of the rounding errors is 21.236

Step-by-step explanation:

Let consider X to be the rounding errors

Then; $X \sim U (a,b)$

where;

a = -0.5 and b = 0.5

Also;

Since The error on each loss is independently and uniformly distributed

Then;

$\sum X _1 \sim N ( n \mu , n \sigma^2)$

where;

n = 2000

Mean $\mu = \dfrac{a+b}{2}$

$\mu = \dfrac{-0.5+0.5}{2}$

$\mu =0$

$\sigma^2 = \dfrac{(b-a)^2}{12}$

$\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}$

$\sigma^2 = \dfrac{(0.5+0.5)^2}{12}$

$\sigma^2 = \dfrac{(1.0)^2}{12}$

$\sigma^2 = \dfrac{1}{12}$

Recall:

$\sum X _1 \sim N ( n \mu , n \sigma^2)$

$n\mu = 2000 \times 0 = 0$

$n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}$

For 95th percentile or below

$P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95$

$P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95$

$P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95$

$\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95$

$\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05$

From Normal table; Z > 1.645 = 0.05

$\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645$

${P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}$

${P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }$

$\mathbf{P_{95} = 21.236}$

the 95th percentile for the sum of the rounding errors is 21.236

8 0

3 years ago

Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have

nadezda [96]

The answer is x=6/7.

4 0

2 years ago

A box contains orange balls and green balls. The number of green balls is six more than four times the number of orange balls. I

Delvig [45]

This is your answer

3 0

3 years ago

Answers anybody?????

viva [34]

The area is the same no matter how you calculate it.
.. (1/2)*20*12 = (1/2)*30*h
.. h = (2/3)*12 = 8 . . . . . feet

8 0

3 years ago

Which answers are examples of deductive reasoning?

Mariulka [41]

Answer:

The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.

The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.

Step-by-step explanation:

Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.

Here we can see that in first case:

The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.

Case 2:

The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.

So only these two examples are based on deductive reasoning.

3 0

3 years ago

Read 2 more answers

7. (5 + 4 – 2) х (-2) = ? А. 14 В. -22 с. -14 D.22