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2 years ago

I really need help with this, ill give brainly.

Mathematics

1 answer:

rusak2 [61]2 years ago

3 0

Answer:

the rate of change is-3 2

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Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution wi

LuckyWell [14K]

Answer:

a) E(X)=1

b) σ=1

c) P(X>1)=0.368

d) P(2<X<5)=0.128

Step-by-step explanation:

We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.

a) We have to compute the expected time between two successive arrivals.

The expected value for X as it is exponentially distributed is:

$E(X)=\dfrac{1}{\lambda}=\dfrac{1}{1}=1$

b) We have to compute the standard deviation of X.

The standard deviation is calculated as:

$\sigma=\dfrac{1}{\lambda}=\dfrac{1}{1}=1$

c) The probability that X is larger than 1 (P(X>1))

We can express the probability as:

$P(X>t)=e^{-\lambda t}\\\\P(X>1)=e^{-\lambda\cdot 1}=e^{-1}=0.368$

d) The probability that X is between 2 and 5 (P(2<X<5))

$P(X>t)=e^{-\lambda t}\\\\\\P(25)\\\\P(2$

4 0

2 years ago

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment.

natka813 [3]

Prob of selected students times prob of selecting boys times prob of selecting 3 boys
total students = 15b + 30g = 45 students

1. 10s/45t = 0.22
2. 15b/45t = 0.33
3. 3b/15b = 0.2

0.22×0.33×0.2=0.0148

1.48%

I'm not sure 100%... double check answer please

3 0

2 years ago

The sum of Alan’s age and Bob’s age is 40.

Nutka1998 [239]

Carl is 2 yrs older than bob. Because Alan+Carl is 2 more than Alan+bob
So bob=16 and Carl is 18
16+18=34
And Alan is 24

8 0

3 years ago

What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below?

Solnce55 [7]

P = 4x + 2y

additional info.
x+2y < 10
y < 2
x > 0
y > 0

y can only be 0, 1, and 2.

x + 2(0) < 10 = x < 10
x + 2(1) < 10 = x + 3 < 10 = x < 10 - 3 = x < 7
x + 2(2) < 10 = x + 4 < 10 = x < 10 - 4 = x < 6

x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
x = 6 ; y = 2 : P = 4(6) + 2(2) = 24 + 4 = 28

The maximum value of P is 40. Where x is 10 and y is 0.

5 0

3 years ago

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If log10x = 3, then x =

iren [92.7K]

This is what WolframAlpha says. Look at the image below.

7 0

2 years ago

Read 2 more answers