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Andreas93 [3]
3 years ago
8

Consider the following scenario: Let P(C) = 0.4. Let P(D) = 0.5. Let P(C|D) = 0.6. a. Find P(C AND D). b. Are C and D mutually e

xclusive? Why or why not? c. Are C and D independent events? Why or why not? d. Find P(C OR D). e. Find P(D|C).
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

a. By definition of conditional probability,

P(C | D) = P(C and D) / P(D)  ==>  P(C and D) = 0.3

b. C and D are mutually exclusive if P(C and D) = 0, but this is clearly not the case, so no.

c. C and D are independent if P(C and D) = P(C) P(D). But P(C) P(D) = 0.2 ≠ 0.3, so no.

d. Using the inclusion/exclusion principle, we have

P(C or D) = P(C) + P(D) - P(C and D)  ==>  P(C or D) = 0.6

e. Using the definition of conditional probability again, we have

P(D | C) = P(C and D) / P(C)  ==>  P(D | C) = 0.75

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Elena L [17]

<u>Answer:</u>

The correct answer option is d. 9.

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

We are given an expression 27^{\frac{2}{3} } and we are supposed to simplify it.

We can also write 27^{\frac{2}{3} } as (3^3)^{\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

(3^3)^{\frac{2}{3} }\\3^{3.\frac{2}{3}

3 gets cancelled by 3 so we are left with:

3^2 =9

Therefore, the correct answer option is d. 9.

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2 years ago
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Third option, it's 28
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3 years ago
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Help please and thank you.
azamat
9.2 i think you have to round it up and it’s 9.5
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Gabriel has 15 5/8 pounds of clay. He will use 7/10 pound to make each bowl. After making 8 bowls he wonders how many more bowls
evablogger [386]
7/10 x 8 = 5 6/10
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2 years ago
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Find the value of x. ​
andrezito [222]

Answer:

d. 16 feet

Step-by-step explanation:

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x² + 144 - 144 = 400 - 144

x² = 256

√x² = √256

x = 16

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