All categories

2 years ago

Question 5

Mathematics

1 answer:

Maksim231197 [3]2 years ago

8 0

BBBBBBBBBBBBBBBBBBBBBBBB

You might be interested in

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0

2 years ago

Plz help :/

Paul [167]

Answer:

1\2

Step-by-step explanation:

draw a circle split it where there are 6 slices color half red and white now color one of the slices green and the rest blue there are 2 slices out of 6 colored blue. Hope it helped! make sure to reduce

6 0

2 years ago

Can u please help me solve? I'm reviewing for finals.

Black_prince [1.1K]

Given:

Consider the given graph as a reference of the solution.

To find:

$-3(u\cdot v)$

Explanation:

By analyzing the graph, we can define the coordinate of vector u and v:

$\begin{align} & \vec{u}=(-8,-9)-(0,0)=(-8,-9) \\ & \vec{v}=(3,7)-(0,0)=(3,7)\end{align}$

Now, let perform the dot product of two vectors,

$\begin{gathered} u\cdot v=(-8,-9)\cdot(3,7) \\ u\cdot v=(-8)(3)+(-9)(7) \\ u\cdot v=-24-63 \\ u\cdot v=-87 \end{gathered}$

Now, perform the required operation,

$\begin{gathered} -3(u\cdot v) \\ =-3(-87) \\ =261 \end{gathered}$

Final answer:

Hence, the required solution is:

$-3(u\cdot v)=261$

8 0

9 months ago

Answer quick please !!

geniusboy [140]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A farmer sells 9.2 kilograms of pears and apples at the farmer's market.

zepelin [54]

Answer:

ddd

dStep-by-step explanation:

ddd

8 0

3 years ago