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ArbitrLikvidat [17]
3 years ago
15

Given P(A) = 0.4 and P(B) = 0.6, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.

5, compute P(A and B).
Mathematics
2 answers:
ycow [4]3 years ago
5 0

Answer:

Solution in photo

Step-by-step explanation:

Hoochie [10]3 years ago
3 0

Answer:

a) 0.24

b) 0.3

Step-by-step explanation:

Given the following probability

P(A) = 0.4 P(B) = 0.6

a) P(A and B) =P(A)P(B) {Independent)

P(A and B) = 0.4×0.6

P(A and B) = 0.24

b) Given P(A | B) = 0.5, this is a conditional probability

If P(A | B) = P(A and B)/P(B)

Since If P(A | B) = 0.5

0.5 = P(A and B)/P(B)

P(A and B) = 0.5(P(B)

P(A and B) = 0.5(0.6)

P(A and B) = 0.3

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A cone has a volume of 1570 cubic inches. Which of the following gives the volume of a cylinder with the same radius and same he
Hitman42 [59]

The volume of the cylinder is 4710 cubic inches

Step-by-step explanation:

Volume of the cone = 1570 cubic inches

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3 0
3 years ago
What are the zeros of the function g(x) = (x + 6) (x – 4)(x + 2) ?
vitfil [10]

9514 1404 393

Answer:

  x in {-6, -2, 4}

Step-by-step explanation:

The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.

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  x +2 = 0   ⇒   x = -2

The zeros of the function are the x-values -6, -2, and 4.

5 0
3 years ago
PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food
Reil [10]

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

3 0
3 years ago
This makes no sense and I​ really need help on t​his lesson.<br> p(c) = ?
ad-work [718]

Answer:

0.18

Step-by-step explanation:

C is a subpath of A,

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the probability of choosing C is 0.3, but first we have to assume A is chosen. The true probability is 0.3 * 0.6 = 0.18

6 0
3 years ago
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