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muminat
3 years ago
6

Suppose you have a drawer full of white, black, and yellow pairs of socks. If the probability of picking a white pair of socks i

s 4/9, and the probability of picking a black pair of socks is 7/18, what is the probability of picking a yellow pair of socks?
a. 1/6
b 5/25
c 7/15 d 16/27
Mathematics
1 answer:
klasskru [66]3 years ago
3 0
A. 1/6

If you turn 4/9 into 8/18 that would make it easier to figure out because you would have the same denominator.
So then you can add 8/18 and 7/18 to get 15/18 so you know that whats left (3/18) id the probobility of yellow socks. If you simplify 3/18 you get 1/6.
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Answer & Step-by-step explanation:

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I (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

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(a)

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Then, the confidence interval (90%):

I 90%(μ)= 37+- [1.645*(5/sqrt(15))]

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(b)

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I 95%(μ)= 37+- [1.96*(5/sqrt(15)) ]

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I 95%(μ)= [34.4697;39.5203]

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Z(alpha/2)= Z(0.5%)= 2.5758

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I 99%(μ)= 37+- [3.3253]

I 99%(μ)= [37-3.3253;37+3.3253]

I 99%(μ)= [33.6747;39.3253]

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Answer:

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