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KatRina [158]
2 years ago
12

A package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly

selecting one of the notepads and recording its color. Find the probability that a green notepad is selected given that it is either blue or green.
Mathematics
1 answer:
Rufina [12.5K]2 years ago
7 0

Answer:

0.50

Step-by-step explanation:

Given that a package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color

The probability that a green notepad is selected given that it is either blue or green is to be found out

Let A = event that selected notepad is green or blue

B = selected notepad is green

The probability that a green notepad is selected given that it is either blue or green is to be found out

= P(B/A)

=P(AB)/P(A)

=Prob (green)/P(green or blue)

= \frac{\frac{Green}{Total} }{\frac{Green+Blue}{Total} } \\=\frac{6/24}{12/24} \\=0.50

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Let X represent the amount of time until the next student will arrive in the library parking lot at the university. If we know t
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Step-by-step explanation:

The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.

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                 =0.25\times \int\limits^{\infty}_{10}{e^{-0.25x}}\, dx\\=0.25\times |\frac{e^{0.25x}}{-0.25}|^{\infty}_{10}\\=(e^{-0.25\times \infty})-(e^{-0.25\times 10})\\=0.0821

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3 0
2 years ago
Farmer Hanson is putting together fruit baskets. He has 240 apples and 150 pears. What is the largest number of baskets he can p
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Answer: 30 baskets.

<u>Step-by-step explanation:</u>

You need to find the Greatest Common Factor (GCF).

240 (apples) = 2 x 2 x 2 x 2 x 3 x 5

150 (pears) = 2 x 3 x 5 x 5

GCF (240, 150) = 2 x 3 x 5

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You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.

4 0
2 years ago
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