TheIncognateo
21.09.2020 •
Mathematics
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9.
Required:
a. What is the probability that he must stop at both signals?
b. What is the probability that he must stop at the first signal but not at the second one?
c. What is the probability that he must stop at exactly one signal?
Solved
Show answers
More tips
- S Science and Technology Why is there no gravity on other planets?...
- F Food and Cooking Deflope: What is it and how does it work?...
- B Business and Finance How to Create a Business Plan? Your Ultimate Guide...
- F Food and Cooking Unusually Delicious Shashlik - Follow the Etiquette of Proper Preparation!...
- C Computers and Internet Make Easy Accessible Screenshots on iPad in Just a Few Minutes...
- T Travel and tourism Lost in the Catacombs: What to Do?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- H Health and Medicine How to Treat Styes: Causes, Symptoms, and Home Remedies...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- F Family and Home How to Properly Use a Water Level?...
Answers on questions: Mathematics
- M Mathematics Um whats 6 plus 6 im strugglin...
- M Mathematics Kelsey, a basketball player, hits 3-point shots on 38.6% of her attempts. What is the probability that Kelsey makes her first 3-point shot on her fourth attempt of the game?...
- M Mathematics YOU LL GET BRAINLESS HURRY The community center is putting on a play. There are several things the crew members have to create for the scenery. (a) They spent $4.24 on each...
- M Mathematics I need help with this...
- M Mathematics Really confused helppppppppp...
- M Mathematics 10 PLS 16) Find the solution to the system of equations graphed here. A) (-1, -3) B) (1, -3) C) (1,3) D) (3.1)...
- M Mathematics What is the solution set of the quadratic inequality x squared + x - 2 is greater than or equal to 0...
- M Mathematics A snack food supplier has 158 snack items to deliver to 3 stores. If the snacks are equally divided among the 3 stores, how many snacks will be left over?...
- M Mathematics This question is for felipesierra213....
- M Mathematics A swim team with 41 members decided to buy T-shirts that cost $15.75 each. 3. ___ What was the cost of the 41 T-shirts?...
Ответ:
a. 0.05
b. 0.40
c. 0.85
Step-by-step explanation:
Let F= Event that a certain motorist must stop at the first signal.
S = Event that a certain motorist must stop at the second signal.
As per given,
P(F) = 0.45 , P(S) = 0.5 and P(F or S) = 0.9
a. Using general probability formula:
P(F and S) =P(F) + P(S)- P(F or S)
= 0.45+0.5-0.9
= 0.05
∴ the probability that he must stop at both signals = 0.05
b. Required probability = P(F but (not s)) = P(F) - P(F and S)
= 0.45-0.05= 0.40
∴ the probability that he must stop at the first signal but not at the second one =0.40
c. Required probability = P(exactly one)= P(F or S) - P(F and S)
= 0.9-0.05
= 0.85
∴ the probability that he must stop at exactly one signal = 0.85
Ответ:
It remains 6:16 am
Step-by-step explanation: