Answer:
the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Step-by-step explanation:
since the variance S² of the batch follows a normal distribution , then for a sample n of 20 distributions , then the random variable Z:
Z= S²*(n-1)/σ²
follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom
since
S² > 3.10 , σ²= 1.75 , n= 20
thus
Z > 33.65
then from χ² distribution tables:
P(Z > 33.65) = 0.02020
therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Answer:
I hope this helps:)
Step-by-step explanation:
Y = 4x - 1
// Plug this in for variable y in equation [1]
[1] 20x - 5•(4x-1) = 5
[1] 0 = 0 => Infinitely many solutions
Answer:
4 hours
Step-by-step explanation:
6.25X4=25 so he'll have an extra dollar
Answer:
radius: 23 inches
Step-by-step explanation:
Formula: ∅r = arc length
Here the ∅ is 2 rads and arc length is 46 inches.
using the formula:
2*r = 46
r = 23 inches
