Answer:
The sampling distribution of
is:
.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:

The study was conducted using the data from 15,000 students.
Since the sample size is so large, i.e. <em>n</em> = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.
So, the sampling distribution of
is:
.
It was complicated but I did it
Answer:
Step-by-step explanation:
# of ways to succeed: 10*10*10*3*25*25--# of possible plates: 10*10*10*26*26*26----P(exactly one W) = [10^3*3*25^2]/[10^3*26^3] = 3*25^2/26^2 = 1875/17576
First, convert 5 and 24/10 into a mixed fraction:
5 and 24/10 = 74/10
Now, divide 74/10 by 4:
74/10 ÷ 4 = 74/10 × 1/4
= 74/40
= 37/20
= 1 and 17/20
(Remember that dividing requires you to reciprocate 4)
Hope this helps!
Answer:
x ≈ 0.290640965127
Step-by-step explanation:
y subtracting the right side of the equation, we get a function that is zero at a real solution for x. The only x-intercept is at approximately 0.290640965127.
___
The graph shows the x-intercept to be 0.2906. The value above was obtained by Newton's method iteration. The roots of this cubic will all be irrational.