statistics quiz 19

please answering the following in a word doc

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You want to buy headphones, and for each headphone the store offers 5 brands, 4 colors, 2 wireless types and 3 cord lengths. How many options are available ?

Group of answer choices

120

240

530

Flag this QuestionQuestion 25 pts

John wants to watch a comedy and a drama. He has 10 comedies and 12 dramas to choose from. In how many ways can he do his selection of 1 comedy and 1 drama ?

Group of answer choices

3003

120

Flag this QuestionQuestion 35 pts

An ice cream parlor offers 10 flavors of ice cream, 5 toppings and 3 types of cones. How many choices are possible ?

Group of answer choices

150

1 / 10

Flag this QuestionQuestion 45 pts

How many license plate codes can be made with 5 consecutive characters, if repetition of characters is allowed ? ( A character is any letter of the English alphabet or any digit ).

Group of answer choices

1,413,720

358,800

60,466,176

456,976

Flag this QuestionQuestion 55 pts

A bicycle store carries 7 brands of bicycles, each one in 5 colors, 6 wheel sizes and 2 types of brakes. How many bike choices are available at this store ?

Image result for bike

Group of answer choices

420

210

550

Flag this QuestionQuestion 65 pts

According to the ____________, if there are LaTeX: m
$m$ ways to do an action and LaTeX: n
$n$ ways to do another action, then both actions can be done in ____________ ways.

Group of answer choices

Empirical Rule ———— LaTeX: sqrt{:m:+:n:}
$m + n$
$m + n$

Law of Large Numbers ———— LaTeX: m:+:n
$m + n$
$m + n$

Simpson’s Paradox ———— $LaTeX: m^{:2:}:+:n^{:2:}::$
$m^{2} + n^{2}$
$m^{2} + n^{2}$

Fundamental Counting Principle ———— LaTeX: m:cdot:n:
$m â‹\dots n$
$m â‹\dots n$

Flag this QuestionQuestion 75 pts

In how many ways can 7 persons be arranged in a row ?

Group of answer choices

120

5040

Flag this QuestionQuestion 85 pts

In how many ways can 7 different cars be arranged in a row ?

Group of answer choices

5040

720

Flag this QuestionQuestion 95 pts

In how many ways can 8 people line up for concert tickets ?

Group of answer choices

40,320

16,777,216

Flag this QuestionQuestion 105 pts

According to the ____________ the number of arrangements of LaTeX: n
$n$ different objects is ____________.

Group of answer choices

Law of Large Numbers ———— LaTeX: sqrt{:n:}
$n$
$n$

Conditional Probability Rule ———— LaTeX: n
$n$
$n$

Factorial Rule ———— LaTeX: n:!
$n!$
$n!$

Empirical Rule ———— $LaTeX: n^{:2:}$
$n^{2}$
$n^{2}$

Flag this QuestionQuestion 115 pts

In how many ways can 5 students be selected as winners ( with no order or ranking ), out of a group of 12 finalists in a math competition ?

Group of answer choices

95040

72076

792

Flag this QuestionQuestion 125 pts

In how many ways can you select a group of 3 students from a class of 20 students ?

Group of answer choices

320

1140

6840

Flag this QuestionQuestion 135 pts

You want to prepare a smoothie using 3 ingredients selected from 5 available ingredients. How many options do you have ?

Group of answer choices

125

Flag this QuestionQuestion 145 pts

The number of combinations of LaTeX: n
$n$ elements, taking LaTeX: r
$r$ at a time, is given by the formula :

Group of answer choices

$LaTeX: frac{:r:!:}{:left(:n:-:r:right):!:cdot:n:!:}$
$\frac{r!}{(n âˆ’ r)! â‹\dots n!}$
$\frac{r!}{(n âˆ’ r)! â‹\dots n!}$

$LaTeX: frac{:r:!:}{:n:!:}$
$\frac{r!}{n!}$
$\frac{r!}{n!}$

$LaTeX: frac{:n:!:}{:left(:n:-:r:right):!:}$
$\frac{n!}{(n âˆ’ r)!}$
$\frac{n!}{(n âˆ’ r)!}$

$LaTeX: frac{:n:!}{:left(:n:-:r:right):!:cdot:r:!:}$
$\frac{n!}{(n âˆ’ r)! â‹\dots r!}$
$\frac{n!}{(n âˆ’ r)! â‹\dots r!}$

Flag this QuestionQuestion 155 pts

In ____________ the order of the elements is ____________. In ____________ the order of the elements is ____________.

Group of answer choices

independent events ———— categorical ———— dependent events ———— numerical

experimental probability ———— discrete ———— theoretical probability ———— continuous

combinations ———— relevant ———— permutations ———— irrelevant

combinations ———— irrelevant ———— permutations ———— relevant

Flag this QuestionQuestion 165 pts

The number of permutations of LaTeX: n
$n$ elements, taking LaTeX: r
$r$ at a time, is given by the formula :

Group of answer choices

$LaTeX: frac{:left(:n:-:r:right)::!}{:n:!:+:r:!:}$
$\frac{(n âˆ’ r)!}{n! + r!}$
$\frac{(n âˆ’ r)!}{n! + r!}$

$LaTeX: frac{:n:!:}{:left(:n:-:r:right):!:}$
$\frac{n!}{(n âˆ’ r)!}$
$\frac{n!}{(n âˆ’ r)!}$

LaTeX: n:!:cdot:r:!:
$n! â‹\dots r!$
$n! â‹\dots r!$

LaTeX: n:!:+:r:!:
$n! + r!$
$n! + r!$

Flag this QuestionQuestion 175 pts

10 students are competing for 3 prizes ( gold, silver and bronze medals, with no ties ). In how many ways can the prizes be awarded ?

Group of answer choices

120

720

450

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