Question

On a cold winter morning your car has a 50% chance of starting while your neighbour's...

On a cold winter morning your car has a 50% chance of starting while your neighbour's car has an 80% chance of starting. Find the probability of each of the following.

a) neither will start

b) both cars will start

c) either both cars will start or neither car will start

d) exactly 1 of the cars will start

Homework Answers

Answer #1

P(A)=P(your car will start)=0.50

P(B)=P(neighbours car will start)=0.80

Both events are independent of each other

A) neither will start

P(neither will start)

Probability that neither will start is 0.1

B) both cars will start

Probability that both car will star is 0.4

C) either both car will start or neither car will start

D) exactly one of the car will start

Probability that exactly one of the car will start is 0.5

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A man owns two old cars, A and B, and has trouble starting them on cold...
A man owns two old cars, A and B, and has trouble starting them on cold mornings. The probability both will start is 0.1; the probability B starts and A does not is 0.1; the probability that neither starts is 0.4 . a) Find the probability that car A will start. b) Find the probability that car A will start, given car B starts. c) Find the probability that car B will start, given car A starts.
A local rental car agency has 50 cars. The rental rate for the winter months is...
A local rental car agency has 50 cars. The rental rate for the winter months is 60%. Find the probability that in a given winter month at least 35 cars will be rented. Use the normal distribution to approximate the binomial distribution. Round the standard deviation to three decimal places to work the problem.
In car racing competition, four car brands A, B, C, and D are competing with two...
In car racing competition, four car brands A, B, C, and D are competing with two cars each. Each of the cars from A, B, C have the same chance of winning, while each of D’s cars have twice the chance of winning. What is the probability of winning for the D brand?
TV Ratings The television show Cold Case has a 15 share, meaning that while it is...
TV Ratings The television show Cold Case has a 15 share, meaning that while it is being broadcast, 15% of the TV sets in use are tuned to Cold Case (based on data from Nielsen Media Research). A special focus group consists of 12 randomly selected households (each with one TVset in use during the time of a Cold Case broadcast). a. What is the expected number of sets tuned to Cold Case? b. In such groups of 12, what...
Suppose that the typical male driver in a brand new car has a 5% chance of...
Suppose that the typical male driver in a brand new car has a 5% chance of causing a collision that totals their car each year, while the typical female driver in a brand new car has a 1% chance of causing a car-ending collision each year. Assuming that men and women buy on average the same cost new car at a price of $33,000, how much more should we expect men driving new cars to pay for auto insurance annually...
While driving down the street, your friend’s car was hit by a truck from behind.  The mass...
While driving down the street, your friend’s car was hit by a truck from behind.  The mass of your friend’s car is 1500 kg while the truck is 1800kg.  Your friend was driving 25 mph or 11.2 m/s. Assume that collision causes both cars to stick together and they do not supply additional power to the wheels after the collision. After the collision, the two cars slide to a stop. The coefficient of kinetic friction is 0.65 for the car and truck...
Question 8 (1 point) On a cold winter day in February, many students in Ms. Bush's...
Question 8 (1 point) On a cold winter day in February, many students in Ms. Bush's sixth-grade class had runny noses and sore throats. After examining each student, the school nurse constructed the following table. Sore Throat No Sore Throat Runny Nose 7 3 No Runny Nose 3 12 Find the probability that a randomly selected student has a runny nose or a sore throat. Write only a number a your answer. Round to two decimal places (for example: 0.73)....
3. Keiko has $100, but there is a 50% chance she will lose all her money...
3. Keiko has $100, but there is a 50% chance she will lose all her money in the stock market. Ndola offers to fully insure Keiko’s loss for a premium of $36. If Keiko’s utility over wealth is given by u(w) =√w, which of the following is true? I. Keiko should accept Ndola’s offer II. Ndola will have positive expected profit if Keiko accepts (a) Both (b) Just I (c) Just II (d) Neither
Car A has 4 times the maximum acceleration of Car B. If they race (starting from...
Car A has 4 times the maximum acceleration of Car B. If they race (starting from rest) and both travel at their maximum acceleration, how do their final velocities compare when they pass the finish line? a) They both have the same velocity at the finish line. b) The velocity of Car A at the finish line is 2x that of Car B at the finish line. c) The velocity of Car A at the finish line is 4x that...
A) If a seed is planted, it has a 80% chance of growing into a healthy...
A) If a seed is planted, it has a 80% chance of growing into a healthy plant. If 8 seeds are planted, what is the probability that exactly 1 doesn't grow? B) About 8% of the population has a particular genetic mutation. 700 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 700.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT