Go to the right 0.2 then go up 0.02.
Answer:
The two numbers of rolls are 25.2 and 46.8.
Step-by-step explanation:
The Chebyshev's theorem states that, if X is a r.v. with mean µ and standard deviation σ, then for any positive number k, we have

Here
Then we know that,
.
Here it is given that mean (µ) = 36 and standard deviation (σ) = 5.4.
Compute the two values between which at least 75% of the contestants lie as follows:

Thus, the two numbers of rolls are 25.2 and 46.8.
179 is the percent of students that only speak one language
The corrected parts of the question has been attached to this answer.
Answer:
A) Probability that the error is less than 0.2 mm; P(X < 0.2) = 0.0272
B) Mean Error (E(X)) = 0.6
C) Variance Error (V(X)) = 0.04
D) Answer properly written in attachment (Page 2)
E) P(0<X<0.8) = 0.8192
Step-by-step explanation:
The probability density function of X is;
f(x) = { 12(x^(2) −x^(3) ; 0<x<1
So, due to the integral symbol and for clarity sake, i have attached all the explanations for answers A - D.
E) The probability that the specification for the error to be between 0 to 0.8 mm is met will be;
P(0<X<0.8) = F(0.8) − F(0) =12([(0.8)^(3)] /3] −[(0.8)^(4)]/4]
= 0.8192
So, the probability is 0.8192.