Answer:
2020
Step-by-step explanation:
2020
Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81
Answer:
The probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.
Step-by-step explanation:
Let <em>X</em> = number of household owns a sports car.
The probability of <em>X</em> is, P (X) = p = 0.07.
Then the random variable <em>X</em> follows a Binomial distribution with <em>n</em> = 3 and <em>p</em> = 0.07.
The probability function of a binomial distribution is:
![P(X=x) = {n\choose x}p^{x}[1-p]^{n-x}\\](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20%7Bn%5Cchoose%20x%7Dp%5E%7Bx%7D%5B1-p%5D%5E%7Bn-x%7D%5C%5C)
Compute the probability that of the 3 households randomly selected at least 1 owns a sports car:

Thus, the probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.
Answer:
$14
Step-by-step explanation:
80% of $70 is $14, saving him $56
Pi. I don't know what the square root is doing there because it has no number under it.