Question

An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other thirteen have a single slot. Suppose that eight of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let $X$ = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does $X$ have (name and values of all parameters)? \begin{itemize} \item hypergeometric with $N = 25$, $M = 12$, and $n = 8$ \item binomial with $n = 25$, $x = 12$, and $p = 8/25$ \item binomial with $n = 12$, $x = 8$, and $p = 8/12$ \item hypergeometric with $N = 12$, $M = 8$, and $n = 12$ \end{itemize} (b) Compute $P(X = 2)$, $P(X \le 2)$, and $P(X \ge 2)$. (Round your answers to four decimal places.) $P(X = 2) = $ $P(X \le 2) = $ $P(X \ge 2) = $ (c) Calculate the mean value and standard deviation of $X$. (Round your standard deviation to two decimal places.) mean value standard deviation radios radios

          An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other thirteen have a single slot. Suppose that eight of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let $X$ = the number among the radios stored under the display shelf that have two slots.
(a) What kind of distribution does $X$ have (name and values of all parameters)?
\begin{itemize}
    \item hypergeometric with $N = 25$, $M = 12$, and $n = 8$
    \item binomial with $n = 25$, $x = 12$, and $p = 8/25$
    \item binomial with $n = 12$, $x = 8$, and $p = 8/12$
    \item hypergeometric with $N = 12$, $M = 8$, and $n = 12$
\end{itemize}
(b) Compute $P(X = 2)$, $P(X \le 2)$, and $P(X \ge 2)$. (Round your answers to four decimal places.)
$P(X = 2) = $
$P(X \le 2) = $
$P(X \ge 2) = $
(c) Calculate the mean value and standard deviation of $X$. (Round your standard deviation to two decimal places.)
mean value 
standard deviation 
radios
radios

An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other thirteen have a single slot. Suppose that eight of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots.
(a) What kind of distribution does X have (name and values of all parameters)?

* hypergeometric with N = 25, M = 12, and n = 8

* binomial with n = 25, x = 12, and p = 8/25

* binomial with n = 12, x = 8, and p = 8/12

* hypergeometric with N = 12, M = 8, and n = 12

(b) Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.)
P(X = 2) =
P(X ≤ 2) =
P(X ≥ 2) =
(c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.)
mean value
standard deviation
radios
radios

Added by Rodrigo R.

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