Standard form of -2x^2+8x+5

Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the

mihalych1998 [28]

Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

$f(x)=Le^{-Lx}$

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

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

For a)

$P(T>2)$

$P(T>2)=1-P(T\leq 2)$

$P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx$

$P(T>2)=1-(-e^{-2}+1)$

$P(T>2)=e^{-2}=0.1353$

For b)

$P(T\geq 10/T>9)$

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

$P(T\geq 10/T>9)=P(T\geq 1)$

$P(T\geq 1)=1-P(T$

$P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679$

4 0

3 years ago

Which of the following transforms this non-statistical question into a statistical question? How much food does your dog eat?

kozerog [31]

Answer:

A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.

B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.

C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.

D) statistical/ this question would be answered by collecting data, and there would be variability in that data

E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.

F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very

G) non-statistical/ there is only one temperature

4 0

3 years ago

Read 2 more answers

Please help ASAP!

g100num [7]

So all you have to do to solve these problems is substitute the y coordinate and the x coordinate into the equation.

So question 1 would be true because when you substitute the numbers in it equals the y value.

Question 2 is (4, -7)

Question 3 is False

Question 4 is true

Question 5 is true

See if you can do the rest!

8 0

3 years ago

Due in 5 mins!! FIND THE MISSING LENGTHS!!!!!

meriva

Since the shape is a square the sides are equal. Then we need to find x such that x * x = 169.
Sqrt(169) = 13
So x = 13

8 0

3 years ago

How do i solve for x and what is the answer

kiruha [24]

Answer:

(4+8)(4) = (x) 3

Step-by-step explanation:

The picture shows two secants intersecting at a point outside the circle. A beautiful pattern for this is: along each secant, the product (multiply) the <em>entire</em> secant by the <em>outside</em> part is the same.

(entire secant)(outside part) = (entire secant)(ouside part)

(4+8)(4) = (x)(3)

4 0

3 years ago