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Vilka [71]
3 years ago
14

Hey video game randomly chooses your car color and type the probability of getting a red card is 0.20 and the probability of get

ting a convertible is 0.30
Event A= your get a red car
Event B=you get a convertible
A and B are independent events if
Mathematics
2 answers:
lapo4ka [179]3 years ago
8 0

Answer:

A and B are independent events if P(A ∩ B) = 0.06

Step-by-step explanation:

Two events A and B are independent if the probability of occurrence of A does not influence the occurrence of B.

Mathematically it is written that A and B are independent events if and only if:

P(A ∩ B) = P(A)P(B)

We know that:

P(A) = 0.20

P(B) = 0.30

Then A and B are independent if:

P(A ∩ B) = (0.20)(0.30)

P(A ∩ B) = 0.06

Finally A and B are independent events if P(A ∩ B) = 0.06

Nikolay [14]3 years ago
6 0

Answer:

The probability of getting a red convertible is 0.06

Step-by-step explanation:

Just took the quiz on APEX :)

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Answer:

The Zscore for both test is the same

Step-by-step explanation:

Given that :

TEST 1:

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USING the relation to obtain the standardized score :

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TEST 1:

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7 0
2 years ago
Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
BaLLatris [955]
<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

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Set hypothesis to test :

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Sample proportion : \hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44

Critical value for 95% confidence : z_{\alpha/2}=1.96

Confidence interval : \hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

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