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kumpel [21]
3 years ago
11

Suppose that of all individuals buying a certain digital camera,60% include an optional memory card in their purchase, 40%includ

e an extra battery, and 30% include both a card and battery.1A randomly selected buyer is known to have purchased anextra battery. Find the probability that an optional card wasalso purchased.2A randomly selected buyer is known to have purchased anoptional card. Find the probability that an extra battery wasalso purchased.
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

1A) 0.75

2A) 0.5

Step-by-step explanation:

Let A be an event of include an optional memory card

B be an event of include an extra battery

P(A) = 0.6

P(B) = 0.4

P(A and B) = 0.3

1A)  P(A|B) = P(A and B) /P(B) = 0.3 / 0.4 = 0.75

2A) P(B|A) = P(A and B)/P(A) = 0.3/0.6= 0.5

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KengaRu [80]

a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

b) since  the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equation

In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value

For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:

f(x)  = 2x + 1

f(-0.8) = 2(-0.8) + 1

f(-0.8) = -1.6  + 1

f(-0.8) = -0.6

Simiarly;

y = -3(-0.8)- 3

y = 2.4 - 3

y = -0.6

Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

For the point (1/3, 2), substitute x = 1/3 into both functions as shown:

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Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equations

Learn more on systems of equation here: brainly.com/question/847634

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