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Fiesta28 [93]
3 years ago
12

Suppose that start-up companies in the area of biotechnology have probability 0.2 of becoming profitable, and that those in the

area of information technology have probability 0.15 of becoming profitable. A venture capitalist invests in one firm of each type. Assume the companies function independently
a. What is the probability that both companies become profitable?
b. What is the probability that neither company becomes profitable?
c. What is the probability that at least one of the two companies become profitable?
Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

a) 0.03

b) 0.68

c) 0.32

Step-by-step explanation:

We are given the following in the question:

B: companies in the area of biotechnology

I: companies in the area of information technology

P(B) = 0.2

P(I) = 0.15

The two events are given to be independent.

a) P(both companies become profitable)

P(B\cap I) = P(B)\times P(I)\\= 0.2\times 0.15 = 0.03

0.03 is the probability that both companies become profitable

b) P(neither company becomes profitable)

P(B'\cap I')\\=P(B')\times P(I')\\=(1-P(B))(1-P(I))\\=(1-0.2)(1-0.15)\\=0.68

0.68 is the probability that neither company becomes profitable.

c) P(at least one of the two companies become profitable)

P(B\cup I) = P(B) + P(I) - P(B\cap I)\\= 0.2 + 0.15 - 0.03\\=0.32

0.32 is the probability that at least one of the two companies become profitable

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saul85 [17]

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Step-by-step explanation:

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Answer: See explanation

Step-by-step explanation:

From the information, we are told that Mrs. Elizondo runs around a 400-meter track. If she runs 4 laps, the total meters will be:

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Find smallest number that is divisible by 3,4,5,6,10,15. Please write down the steps involed.
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Hey there! :)

List the multiples of each number and see what's common

3 = 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69

4 = 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72

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6 = 6,12,18,24,30,36,42,48,54,60,66,72

10 = 10,20,30,40,50,60,70

15 = 15,30,45,60,75

Your answer is 60

Hope this helps :)
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