Dr. Miriam Johnson has been teaching accounting for over 12 years. From her experience, she knows that 70% of her students do homework regularly. Moreover, 96% of the students who do their homework reqularly pass the course. She also knows that 86% of her students pass the course. Let event A be "Do homework regularly" and B be "Pass the course". a. What is the probability that a student will do homework regularly and also pass the course? Probability 0.57 X b. What is the probability that a student will neither do homework regularly nor will pass the course? Probability 0.88 c. Are the events "pass the course" and "do homework regularly" mutually exclusive? O Yes because PBIA) = PB). No because PBIA) # PB). Yes because PAN B = 0. O O No because PAN B) # 0. d. Are the events "pass the course" and "do homework regularly" independent? O Yes because PBIA) = P(B). O No because PBI A) # PB). O O Yes because PAN B) = 0. No because PAN B)#0.

Q: Suppose that 34% of people own dogs. If you pick two people at random, what is the probability that…

A: No.of people select at random = 2 The probability of one person own dogs is, P(one person own dogs)…

Q: On average, the number of students that choose to study Arts related subjects at lowa University is…

A:

Q: A certain math conference has 9825 attendees.  Of these individuals, 5668 are college professors,…

A: Total no. of attendees in a math conference=9825of these individualsno. of college…

Q: Suppose you roll three dice. What is the probability that the smallest number seen is five?

A: Solution: From the given information, three dice are rolled.

Q: Ten percent of all people are left handed.  Thus the probability that both a mother and her daughter…

A: Given information: Percentage of all people who are left-handed = 10% or 0.10 It is required to…

Q: What is the probability a randomly selected worker does not drive a car to work?

A: Here we have given the information, According to the U.S. Census Bureau, the probability a randomly…

Q: In a mall there is a clothing seller who does a discount. If there are 10 out of 45 people who visit…

A:

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: At a particular college 10% of the students major in business, and are required to take a Statistics…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: If you pick one card at random from a standard deck of cards, what is the probability it is not the…

A: We know that There are 52 cards in the deck divided into two colour i.e red(26) and black (26).…

Q: According to Costco's records, 25% of customers who make a purchase return the item for a refund or…

A: Given n=10 P=0.25

Q: According to a recent survey approximately 68% of students at this campus are women. A group of 20…

A: Solution: Let X be the number of students are women and n be the sample of students. From the given…

Q: A survey on campus revealed that 77% of the students felt that a new attendance policy was unfair.…

A: Given that the probability that the students felt that a new attendance policy was unfair is = 77%…

Q: Charlie fills out six applications. What is the probability that none of the companies calls her for…

A: here given 28% chance of getting job interview if she fills out an application p =.28 q = 1-p = 0.72…

Q: You have a campus errand that will take only 15 minutes. The only parking space anywhere nearby is a…

A:

Q: Five years after 650 high school seniors graduates, 400 had a college degree and 310 were married.…

A: Given: n(total) = 650 n(College) = 400 n(married) = 310 Half of college students are married.

Q: Two dice are rolled simultaneously. What is the probability that the two scores are different?

A:

Q: 97 out of 100 scientists believe in the phenomenon of climate change. What is the probability that…

A:

Q: John rolled a pair of dice. What is the probability that they would sum to 6?

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

A:

Q: Assume that 30 percent of students have taken calculus in high school. Of those who have taken…

A: Let define the events: C = students taken calculus in high school C=students do not taken calculus…

Q: If 15% of students like tennis and I expect 500 new students on campus what is the probability that…

A: Probability that students like tennis, p=15% = 0.15 q=1-p= 1-0.15= 0.85 Sample size n=500…

Q: Approximately 30% of obese patients develop diabetes. If a physician sees 10 patients who are obese,…

A:

Q: Suppose the probability of a IRS audit is 2.1% for U.S. taxpayers who file form 1040 and who earned…

A:

Q: Suppose 38% of the teachers at a high school are male teachers. What is the probability that of your…

A: Let x follows binomial distribution with parameters n = 6 and p = 0.38   The pdf of binomial…

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: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability…

Q: Two cards are selected from a standard deck. What is the probability that the first is a Heart and…

A: Let A1 be the event that the selected card is Heart. Let A2 be the event that the selected card is…

Q: In a classroom survey, 18 out of 30 students reported that they have a car. What is the probability…

A:

Q: Customers use an automatic teller machine at an average rate of 15 per hour.  What is the…

A: Given: Average rate, λ=12

Q: According to the Federal Communications Commission, 70% of all U.S. households are using video…

A: Given,n=15p=0.7q=1-0.7=0.3A random variable X~Binomial(n=15 , p=0.7)P(X=x)=Cx(0.7)x(0.3)15-x       ;…

Q: Kawhi Leonard of the LA Clippers makes approximately 47% of the field goals he attempts. If he…

A: It is given that Kawhi Leonard of the LA Clippers makes approximately 47% of the field goals he…

Q: What is the probability that at least one dice will different from the other two? Leave your answer…

A: It is assumed that three dice are rolled. The total number of outcomes in the sample space be n(S) =…

Q: Suppose you flip a fair coin twice. What is the probability that the outcome is the same both times?…

A: When we flip a coin toss twice then total number of possible outcomes are S = {HH, HT, TH, TT }