Question

A particularly long traffic light on your morning commute is green 20% of the time that...

A particularly long traffic light on your morning commute is green 20% of the time that you approach it. Assume that each morning represents an independent trial. Assume that 10 mornings are considered in this experiment.

(a) What is the probability that the light is green on exactly one morning? (b) What is the probability that the light is green on at least two mornings? (c) What is the mean number of mornings that the light is green when you approach it?

Homework Answers

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
Suppose at a particular traffic light junction, the traffic is green 60 % of the time,...
Suppose at a particular traffic light junction, the traffic is green 60 % of the time, red 30 % of the time and yellow 10 % of the time. Given that a car approaches this traffic light junction once each day. Let X denotes the number of days that pass up to and including the first time the car encounters a red light. Assume that each day represents an independent trial. (i) Apply a suitable model and compute the probability...
A traffic light at a certain intersection is green 45% of the time, yellow 10% of...
A traffic light at a certain intersection is green 45% of the time, yellow 10% of the time, and red 45% of the time. A car approaches this intersection once each day. Let Y denote the number of days up to and including the third day on which a red light is encountered. Assume that each day represents an independent trial. Find ?Y .
what if you encounter one traffic light on your commute to class each day. You have...
what if you encounter one traffic light on your commute to class each day. You have determined that the probability that this light will be red is 1/3. Which of the following is not a correct interpretation of this probability? a.Each time you approach the light on your commute, the probability of it being red is 1/3. b.The light will always be red one out of every three times that you encounter it. c.In the long run, the light should...
John drives and there are traffic lights on his routes. When all traffic lights on his...
John drives and there are traffic lights on his routes. When all traffic lights on his route are green, the entire trip takes 18 minutes. JohnŠs route includes 5 traffic lights, each of which is red with probability 1/3, independent of every other light. Each red traffic light that he encounters adds 1 minute to his commute. (a) Find the expectation, and variance of the length (in minutes) of John’s commute. (b) What is the pmf of the length (in...
Suppose that 20% of coffee drinkers have their morning cup of coffee at home (as opposed...
Suppose that 20% of coffee drinkers have their morning cup of coffee at home (as opposed to having it outside home). A random sample of 20 coffee drinkers is randomly selected. Suppose you have verified this is a Binomial experiment. 1-Identify the number of individual trials. 2-Define the binomial random variable X, in the context of question. 3-What is the probability that exactly 4 of the 20 randomly selected coffee drinkers have their morning cup of coffee at home? 4-What...
Suppose you have five marbles in a bag, three green (G1, G2, G3) and two red...
Suppose you have five marbles in a bag, three green (G1, G2, G3) and two red (R1 and R2). You conduct an experiment where you continue to select colored marbles one at a time at random from the bag. You stop selecting marbles when you select a red marble. Without replacement. Display the possible outcomes in a tree diagram. Let x denote the discrete random variable that represents the total number of green marbles that can be selected before a...
In one of Mendel’s hybridization experiments with peas, the probability of offspring peas having green pods...
In one of Mendel’s hybridization experiments with peas, the probability of offspring peas having green pods is ¾ or 0.75. Assume that whether offspring pea has green pods is independent of whether the green pod is a different color. Find the probability that exactly 13 out of 20 offspring peas will have green pods. Find the probability that 13 or fewer out of 20 offspring peas will have green pods. According to a Consumer Report, the mean replacement time of...
Please answer with method or formula used. A) Puenaa is getting married tomorrow, at an outdoor...
Please answer with method or formula used. A) Puenaa is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. Unfortunately, the weatherman has predicted rain for tomorrow. When it actually rains, the weatherman correctly forecasts rain 90% of the time. When it doesn't rain, he incorrectly forecasts rain 10% of the time. What is the probability that it will rain on the day of Puenaa's wedding? B) A...
A busy commuter is concerned about the time she spends in traffic getting to the office....
A busy commuter is concerned about the time she spends in traffic getting to the office. She times the drive for a couple weeks and find that it averages 40 minutes. The next day, she tries public transit and it takes 45 minutes. The next day she's back on the roads, convinced that driving is quicker. However, data from one day is not representative of variation in public transit time. If the busy commuter decides to do more testing, how...
Suppose each time a potential customer visits your website on a weekday there is a 25%...
Suppose each time a potential customer visits your website on a weekday there is a 25% chance they purchase something. Every hour you get exactly 20 potential customers visiting your website. Suppose that all website visits are independent. What is the probability that you make 5 or less sales in an hour? What is the expected number of sales from your website in a 10 hour time period? Suppose on weekends the probability a visitor makes a purchase is 0.63...