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djyliett [7]
3 years ago
14

Gustavo created a four-part spinner to represent the four prizes that he had an equal chance of winning: a video game system, a

bicycle, a watch, and a gift card. He spun the spinner several times to demonstrate the likelihood of winning a certain prize. What is true about Gustavo’s data collection? Gustavo used an experiment where the data is qualitative. Gustavo used an experiment where the data is quantitative. Gustavo used a simulation where the data is qualitative. Gustavo used a simulation where the data is quantitative.
Mathematics
2 answers:
EleoNora [17]3 years ago
8 0

Based off of the initial paragraph focused on Gustavo, option <em>C</em> is correct based off of his data collection.

Elenna [48]3 years ago
3 0
The answer is "C". I know, I'm taking the quiz. 
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Answer:

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Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

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P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107

Then,

P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007

c) In this case, the distribution is B(1200,0.01)

P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366

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