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)
With L > 0 and x ≥ 0
In this exercise λ = 1 ⇒
For a)
For b)
The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur
<h3>1.</h3>
The picture shows 5 groups of 3 bars. Each bar represents 1/10. We take the picture to mean that ...
... (15/10) / 5 = 3/10
In decimal:
... 1.5 / 5 = 0.3
<h3>2.</h3>
The picture shows 3 groups of 2 bars. Each bar represents 1/10. We take the picture to mean that ...
... (6/10) / 3 = 2/10
In decimal:
... 0.6 / 3 = 0.2
<h3>3.</h3>
The picture shows 4 groups, each consisting of 1 large square, 1 bar, and 4 small squares. We take the picture to mean that ...
... (4 + 4/10 + 16/100) / 4 = 1 + 1/10 + 4/100
In decimal:
... 4.56 / 4 = 1.14
Please note that 16/100 is equivalent to 1/10 + 6/100. In order to do the division, one of the 1/10 bars needed to be changed into 10 small squares, 10/100.
<h3>4.</h3>
The picture shows 3 groups, each consisting of 1 large square, 3 bars, and 2 small squares. We take the picture to mean that ...
... (3 + 9/10 +6/100) / 3 = 1 +3/10 + 2/100
In decimal:
... 3.96 / 3 = 1.32
<span>If a=-2 and b=1, then
3a-2b
= 3(-2) -2(1)
= -6 -2
= -8</span>
We need to convert 300 feet to yards.
We know,
3 feet = 1 yard
Hence,
300 feet * 1 yard/3 feet = 300/3 = 100 yards
He should buy 100 yards
-24ab^2
Is the answer
Hope this helps.
