$f (x) = k x (2 - x)$ for $0 \leq x \leq 2$ and $0$ elsewhere is a probability density function. The value of $k$ is:

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The random variable $X$ has a binomial distribution $X \sim Bi (n = 10, p = 0.2)$ . The standard deviation of $X$ is:
Let $Z \sim N (0, 1)$ . Given that $Pr (Z > 1.2) = 0.1151$ , find $Pr (- 1.2 < Z < 1.2)$ .
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The weights of newborn puppies are normally distributed with mean $500 g$ and standard deviation $40 g$ . If $10%$ of puppies…
A continuous random variable $X$ has probability density function $f (x) = \frac{3}{8} x^{2}$ for $0 \leq x \leq 2$ , and $0$ elsewhere. Calculate…