Example 2: Christine drives the same way to work every single day, and on her usual route she encounters 9 intersections with traffic lights. Assume that there is a 20% chance that any given traffic light she encounters will be red when she arrives at the intersection and that each light works independently from the others. Consider this scenario as you answer the following questions. a) Find the mean and variance for the binomial probability distribution described in the scenario above. Make sure to use proper notation. b) Find the probability that Christine encounters exactly 4 red lights on her way to work. c) Find the probability that Christine encounters anywhere from 2 to 5 red lights on her way to work.

Example 2: Christine drives the same way to work every single day, and on her usual route she encounters 9 intersections with traffic lights. Assume that there is a 20% chance that any given traffic light she encounters will be red when she arrives at the intersection and that each light works independently from the others. Consider this scenario as you answer the following questions. a) Find the mean and variance for the binomial probability distribution described in the scenario above. Make sure to use proper notation. b) Find the probability that Christine encounters exactly 4 red lights on her way to work. c) Find the probability that Christine encounters anywhere from 2 to 5 red lights on her way to work.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Gina is pregnant and is about to give birth to a twin. make a probability distribution representing…

A: Given information: Condition given: Gina is pregnant and about to give birth to a twin X:…

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: Note: Hi there! hank you for posting the question. As there are multiple sub parts, according to our…

Q: Leave all probabilities as percentages. Define x on all problems with data. There is a 20% chance…

A: X be the employers check applicants Facebook and other social media sites following binomial…

Q: A die is weighted in such a way that each of 5 and 6 is three times as likely to come up as each of…

A: The outcomes for a die are 1, 2, 3, 4, 5 and 6.From the given information, the number 5 and 6 are…

Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

Q: new drug cures 65% of the patients who take it. If it is given to 14 patients, what is the…

A: We have to find out answer of given question....

Q: In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with error…

Q: Suppose a baseball player's batting average is .325. What is the probability that in the next 100…

A: Given, p = 0.325 n = 100 trials X = number of times, out of 100 that are success

Q: If probability of an event A is= .3 The probability of an event B= .4 The probability of (A…

Q: Color blindness has a rate of about 5% among males. If you pick a group of 15 males, what is the…

Q: A basketball player is known to make 85% of their free throw shots. If she is allowed to take 20…

A: A basketball player is known to make 85% of their free throw shots; p=0.85 There are 20 shots; n=20

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: Give an example of an event whose probability must be determined empirically rather than…

A: According to the question, we have to wite the examples of an event whose probability must be…

Q: The weather channel reports that the chance of rain for the next 3 days is 40%. What is the…

A: A number of events are said to be independent if the probability of occurrence of any one of them is…

Q: Serious worker injuries at a coal mining company average 2.7 per year. Given that safety conditions…

A: # Serious worker injuries at a coal mining company average 2.7 per year. Given that safety…

Q: Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute,…

A: The answer can be given by finding the z value.

Q: conomists believe that the annual inflation rate in Turkey is affected by the changes in the…

A: Given: To explain the given statement as follows, Given details: The probability of the inflation…

Q: Suppose that the life span of a certain automobile tire is normally distributed, with μ = 25, 000…

A: Let X denote the life span of a certain automobile tire.Given that X follows a normal distribution…

Q: A football player is trying to achieve a goal from a series of penalty kicks. If his scoring…

A: let p be the probability that he score a goal q be the probability that he not score a goal p=0.8,…

Q: Choose the correct answer for k = 0 a. 0.022 b. 0.020 c. 0.002 с. d. 0.030 Choose the correct answer…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Given : The…

Q: Suppose on a given day, there is a 43% chance Emily will forget her wallet when going to work. What…

A: Let x follows binomial distribution with parameters n = 10 and p = 0.43 The pdf of binomial…

Q: 8. Pizza Shack is conducting a review of its suppliers. It finds that 2.5% of the tomatoes it…

A: suppose,A : tomatoes Pizza shack receives come from California.A': tomatoes from…

Q: Example 3: Alexis is selling girl scout cookies. She has kept track of the number of boxes of…

A: a) b)what is the probability that a randomly selected customer will purchase 3 boxes of cookies…

Q: I hit two traffic lights on my way to work each morning. Both lights operate independently. The…

A: Let, Ri : i th traffic light is red , i=1, 2Rci : i th traffic light is not red , i=1, 2 P(R1∩R2)…

Q: 4. A survey of State U students asked if they were satisfied with the way the school has handled…

A: To determine whether the events "female" and "no" are independent, we need to compare the joint…

Q: If the probability of being hospitalized during a year is 0.25. Find the probability that no one is…

A: X has binomial distribution. X~binomial(n,p)n=3p=0.25probability mass function of X;…

Q: If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be…

A: Formula : P(A') = 1 - P(A)

Q: Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What…

A: Introduction: Denote X as the random variable of interest here, which is the number of days that the…

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Example 2: Christine drives the same way to work every single day, and on her usual route she
encounters 9 intersections with traffic lights. Assume that there is a 20% chance that any given
traffic light she encounters will be red when she arrives at the intersection and that each light
works independently from the others. Consider this scenario as you answer the following
questions.
a) Find the mean and variance for the binomial probability distribution described in the
scenario above. Make sure to use proper notation.
b) Find the probability that Christine encounters exactly 4 red lights on her way to work.
c) Find the probability that Christine encounters anywhere from 2 to 5 red lights on her way
to work.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Please explain part B.
State the frequentist interpretation of probability.
If there is a 10% chance it will rain each day for the next week, what is the probability that it will rain at least once?
Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What is the probability she forgets her wallet at least once in the next ten days she goes to work?
If the probability of one event occurring is 1/4 and the probability of another event occurring is 1/10, what is the probability that both events will occur?
Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?
Exhibit 5-10The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. Refer to Exhibit 5-10. The expected number of days Pete will catch fish is?
Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular disease is 20%. Suppose also that 5% of people in the U.S. have both diabetes and cardiovascular disease. Suppose Jack has diabetes. What is the probability that he also has cardiovascular disease?