People were prohibited ________ their vehicles near the entrance of the main administrative building.
from parking
Grammar Rule: Prohibited From + Gerund
The verb 'prohibit' is typically followed by the preposition 'from' and a gerund (the '-ing' form of a verb). This structure indicates that an action is forbidden.
Analyzing the Sentence Structure
The sentence requires a phrase to explain what people were forbidden to do with their vehicles near the entrance.
- Prohibited to park: Incorrect. This structure is not standard English usage for prohibition.
- Prohibited from parking: Correct. This follows the standard structure: Prohibit + Object + From + Gerund. It means people were not allowed to park.
- Prohibited parking: Incorrect in this specific sentence structure. While "Parking Prohibited" is a valid sign, the sentence requires a verb phrase after "prohibited".
- Prohibited to have parked: Incorrect. This structure is grammatically flawed for this context.
Completing the Sentence
Applying the rule, the correct phrase is 'from parking'. The completed sentence reads:
People were prohibited from parking their vehicles near the entrance of the main administrative building.
Important Questions from Variance
Consider a distribution with the following probability density function $$f(x) = \begin{cases} 0.5, & 0 < x < 2 \\ 0.0, & Otherwise \end{cases}$$ Given that the mean of the above probability distribution is 1, the variance (rounded off to two decimal places) is _______________.
- Let $X$ and $Y$ be two independent random variables. $X$ follows $Bernoulli(p = 0.3)$ distribution and $Y$ follows $Normal(\mu = 0, \sigma^2 = 100)$ distribution.
Which of the following options is the variance of $(2X - 1)Y$? - For a given data set $\{x_1, x_2, \ldots, x_n\}$, where $n = 100$, it is known that
$$ \frac{1}{2000} \sum_{i=1}^{n} \sum_{j=1}^{n} (x_i - x_j)^2 = 99 $$
Let us denote $\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i$.
The value of $\frac{1}{99} \sum_{i=1}^{n} (x_i - \bar{x})^2$ is __________ . (Answer in integer) - A random variable $X$ has the sample space $\{0,1\}$. The probability $P(X = 0) = 1/4$ and $P(X = 1) = 3/4$.
What is the variance of the random variable?
Hint: $\text{Mean } (\mu) = \sum_{i=1}^{n} x_i p(x_i) ; \text{Variance } (\sigma^2) = \sum_{i=1}^{n} (x_i - \mu)^2 p(x_i)$ The unbiased sample variance for the set of numbers: $S = \{40,45,50,55,60\}$ is_____. (write answer with one decimal place)
