Answer: If the null hypothesis is true, the probability of observing a sample mean of at least 5.15 minutes is .031
Step-by-step explanation:
we are given
system of equations
First equation is

Second equation is

now, we can find augmented matrix

now, we can change it into reduced row echelon form
step-1: multiply the 1st row by 1/3

step-2:add -3 times the 1st row to the 2nd row

step-3:multiply the 2nd row by 1/4

step-4: add 2/3 times the 2nd row to the 1st row

so, we get

Answer is (5,-8)
-3x + 6 + 12 y. I am afraid that there are no like terms to combine, and it is neither an equation nor an inequality.
Hope this Helps!
Answer:
∑E(x
) = 13.49167 floors
Step-by-step explanation:
The expected number of floors no one get off = ∑E(x
) where i is from 0 to 23
and E(x
) = ∑x
P(x
)
here x
is the indicator of floor where no one gets off, its value is 0 when atleast one person get off on its floor and 1 when when no one gets off.
Now,
P(x
=1) = (22/23)¹²
P(x
=0) = [1-(22/23)¹²]
Now,
E(x
) = ∑x
P(x
) = 0* [1-(22/23)¹²] + 1*(22/23)¹² =0.586594704
For total number of floors where no one gets off
∑E(x
) = E(x₁)+E(x₂)+E(x₃)........................+E(x₂₃)
∑E(x
) = 23*0.586594704
∑E(x
) = 13.49167 floors