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4 years ago

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Mathematics

2 answers:

andrey2020 [161]4 years ago

7 0

It’s 7 !!!!!!!!!!!!!!!!!

Eduardwww [97]4 years ago

4 0

The answer is 7!!???!!!!?

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A major credit card company has determined that customers charge between $100 and $1100 per month. If the monthly amount charged

Alexxx [7]

Answer:

a) $E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

b) First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

c) $P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

d) $P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

Step-by-step explanation:

For this case we define the random variable X who represent the customers charge, and the distribution for X on this case is:

$X \sim Unif (a= 100, b=1100)$

Part a

For this case the average is given by the expected value and we can use the following formula:

$E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

Part b

First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

Part c

For this case we want to find the percent between 600 and 889, so we can use the cumulative distribution function given by:

$F(x) = \frac{X -100}{1100-100}= \frac{x-100}{1000}, 100 \leq X \leq 1100$

And we can find this probability:

$P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

Part d

$P(311 < X< 889) = P(X$

And using the cdf we got:

$P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

6 0

3 years ago

PLS, NO FILES, OR LINKS, JUST ANSWERS, AND EXPLANATIONS..... What is the combined area of the two bases of the following cylinde

sukhopar [10]

Answer:

87.92

Step-by-step explanation:

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3 years ago

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What is my mystery number???

mars1129 [50]

Answer:

Step-by-step explanation:

25 has 2 digits

25 is less than 30

25 is odd

2+5 = 7

It is 25.

5 0

3 years ago

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How you get the answer and how you do it

ololo11 [35]

Answer:

E=(-1,3) F= (3,3) G=(-2,-1) H=(4,-1)

the shape is a trapizode

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3 years ago

Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Deffense [45]

<span>g(x) = 6(4)x, Section A is from x = 0 to x = 1. Your "6(4)x" needs to be written as

</span><span>g(x) = 6(4)^x, where the " ^ " indicates exponentiation.

The average rate of change of g(x) from x= 0 to x=1 is:

6(4)^1 - 6(4)^0 24 - 6
a.r.c. = ----------------------- = ----------- = 18 (answer)
1-0 1

Now do the same thing for x = 1 to x = 2.</span>

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4 years ago