Question

Tanya drives to work every day and passes two independently operated traffic lights. The probability that both lights are red is 0.55. The probability that the first light is red is 0.69. What is the probability that the second light is red, given that the first light is red?

Answer 1

@Michele_Laino

Answer 2

I think that the requested probability \(p\), has to check the subsequent condition:
\(0.69 \cdot p=0.55\)

Answer 3

Then would I divide?

Answer 4

yes! That equation expresses the fact that the two events are independent

Answer 5

um 0.797?

Answer 6

correct!

Answer 7

I need 1 more?

Answer 8

ok!

Answer 9

A survey of 1,200 men and women asked, "Do you earn over $75,000 per year?" The table below shows the responses for males and females:


Male Female Total
Income over $75,000 585 485 1,070
Income below $75,000 65 65 130
Total 650 550 1200


Based on these data, are "being female" and "earning over $75,000" independent events?

Answer 10

Based on these data, are "being female" and "earning over $75,000" independent events?
No, P(being female | the person earns over $75,000) = P(being female)
No, P(being female | the person earns over $75,000) ≠ P(being female)
Yes, P(being female | the person earns over $75,000) = P(being female)
Yes, P(being female | the person earns over $75,000) ≠ P(being female)

Answer 11

I'm sorry, I don't know this answer

Answer 12

Pam is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even}, and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∪ B.

{2, 3, 4, 6, 8, 9, 10, 12}

Answer 13

Thats the answer i got:)

Answer 14

please wait, I'm working on your question...

Answer 15

kk:)

Answer 16

correct!

Answer 17

yes!

Answer 18

Papa's Italian Restaurant has collected data about customer sauce orders. It calculated that P(marinara) = 0.74, P(pesto) = 0.62, and P(marinara or pesto) = 0.90. Determine the P(marinara and pesto).

Answer 19

Is it 0.46?

Answer 20

we have:
\(0.74+0.62=0.90+x\)
from which \(x=0.46\) so, your answer is correct!

Answer 21

Thanks so much for all your help!