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
(12x3)+(3x2) Because on Monday he bought 12 songs for $3 each and on Tuesday he bought 2 songs for $3 each.
Answer:
50 students
Step-by-step explanation:
24% students in a clan were absent in a day .
Hence, the Percentage of students present is calculated as:.
= 100 % - 24 %
= 76%
From the question, we know that:
If 38 students were present ,what is the total strength in the clan
The total strength of the clan = Total number of students. This is calculated as:
76% × x = 38 students.
76/100 × x = 38
76x /100 = 38
Cross Multiply
76x = 38 × 100
x = 3800/76
x = 50 students
<h2>
Hello!</h2>
The answer is: There are a total of 16 skits in the video.
<h2>Why?</h2>
From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).
So, we need to write the following equations:
First equation:
Second equation:
Where,
So, replacing and substituting the second equation into the first equation we have:
So, there are a total of 16 skits in the video.
Let's prove it substituting "n" into the first equation:
Have a nice day!