Statistics and Probability, NAPX-I3-CA18

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

598

Question

Petal did a survey of her class, asking everyone what their favourite season is.

This table below shows the results.


Season Number of Classmates
Summer 17
Autumn 8
Winter 2
Spring 10


What is the probability that a randomly selected classmate's favourite season is Spring?

Round your answer to the nearest hundredth.

Worked Solution

PP(Spring is favourite)
= number who chose Springtotal classmates\dfrac{\text{number who chose Spring}}{\text{total classmates}}
= 1017+8+2+10\dfrac{10}{17 + 8 + 2 + 10}
= 1037\dfrac{10}{37}
= 0.270...
= 0.27 (nearest hundredth)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Petal did a survey of her class, asking everyone what their favourite season is. This table below shows the results.
>>| Season | Number of Classmates| |:-:|:-:| | Summer | 17| | Autumn | 8| |Winter|2| |Spring| 10|

What is the probability that a randomly selected classmate's favourite season is Spring? Round your answer to the nearest hundredth.
workedSolution
sm_nogap $P$(Spring is favourite)
>| | | | ------------- | ---------- | | | \= $\dfrac{\text{number who chose Spring}}{\text{total classmates}}$ | ||| | | \= $\dfrac{10}{17 + 8 + 2 + 10}$ | ||| | | \= $\dfrac{10}{37}$ | | | \= 0.270... | | | \= {{{correctAnswer}}} (nearest hundredth)|
correctAnswer
0.27

Answers

Is Correct?Answer
x

0.10

✓

0.27

x

0.40

x

0.43

Variant 1

DifficultyLevel

597

Question

Jenny did a survey of her kindergarten class, asking everyone who their favourite Wiggle was.

This table below shows the results.


Wiggle Number of Students
Red 5
Blue 6
Yellow 9
Purple 3


What is the probability that a randomly selected classmate's favourite Wiggle is Yellow Wiggle?

Round your answer to the nearest hundredth.

Worked Solution

PP(Yellow Wiggle favourite)
= number who chose Yellow Wiggletotal classmates\dfrac{\text{number who chose Yellow Wiggle}}{\text{total classmates}}
= 95+6+9+3\dfrac{9}{5 + 6 + 9 + 3}
= 923\dfrac{9}{23}
= 0.391...
= 0.39 (nearest hundredth)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jenny did a survey of her kindergarten class, asking everyone who their favourite Wiggle was. This table below shows the results.
>>| Wiggle | Number of Students| |:-:|:-:| | Red | 5| | Blue | 6| |Yellow|9| |Purple| 3|

What is the probability that a randomly selected classmate's favourite Wiggle is Yellow Wiggle? Round your answer to the nearest hundredth.
workedSolution
sm_nogap $P$(Yellow Wiggle favourite)
>| | | | ------------- | ---------- | | | \= $\dfrac{\text{number who chose Yellow Wiggle}}{\text{total classmates}}$ | ||| | | \= $\dfrac{9}{5 + 6 + 9 + 3}$ | ||| | | \= $\dfrac{9}{23}$ | | | \= 0.391... | | | \= {{{correctAnswer}}} (nearest hundredth) |
correctAnswer
0.39

Answers

Is Correct?Answer
x

0.09

✓

0.39

x

0.50

x

0.64

Variant 2

DifficultyLevel

595

Question

Haggs did a survey of his kindergarten class, asking everyone who their favourite Teletubby was.

This table below shows the results.


Teletubby Number of Students
Dipsy 3
Laa-Laa 5
Tinky-Winky 11
Po 2


What is the probability that a randomly selected classmate's favourite Teletubby is Tinky-Winky?

Round your answer to the nearest hundredth.

Worked Solution

PP(Tinky-Winky favourite)
= number who chose Tinky-Winkytotal classmates\dfrac{\text{number who chose Tinky-Winky}}{\text{total classmates}}
= 113+5+11+2\dfrac{11}{3 + 5 + 11 + 2}
= 1121\dfrac{11}{21}
= 0.523...
= 0.52 (nearest hundredth)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Haggs did a survey of his kindergarten class, asking everyone who their favourite Teletubby was. This table below shows the results.
>>| **Teletubby** | **Number of Students**| |:-:|:-:| | Dipsy | 3| | Laa-Laa |5| |Tinky-Winky| 11| |Po| 2 |

What is the probability that a randomly selected classmate's favourite Teletubby is Tinky-Winky? Round your answer to the nearest hundredth.
workedSolution
sm_nogap $P$(Tinky-Winky favourite)
>| | | | ------------- | ---------- | | | \= $\dfrac{\text{number who chose Tinky-Winky}}{\text{total classmates}}$ | ||| | | \= $\dfrac{11}{3 + 5 + 11 + 2}$ | ||| | | \= $\dfrac{11}{21}$ | | | \= 0.523... | | | \= {{{correctAnswer}}} (nearest hundredth) |
correctAnswer
0.52

Answers

Is Correct?Answer
x

0.11

✓

0.52

x

0.63

x

1.10

Tags