You are designing a road system leading to a city. There are 9 lights on the road and the probability that a light is red is .3. Assume that the probability that one light is red has nothing to do with any of the other lights being red (binomial). (a) What is the probability that 4 of the lights are red? Show by hand  (b) Consider that you are required to design another road leading to the city. This road has 8 lights. What must the probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights? (c) Which road has more variability in the number of red lights

Q: 1. Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the…

A: Let us denote the event of playing chess by C, the event of playing football by F and the event of…

Q: In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5…

A: #let x be the nonof match end with tie with probability p=0.2 follow binomial distribution…

Q: If the probability that Tom will be alive in 20 years is 0.6 and the probability that Jim will be…

A:

Q: Mr.X started his new business.The chance of Rs.40000 profit per month is 20% and the chance of…

A: given: Probability of Rs.40000 profit per month is 20%            Probability of RS.50000 profit per…

Q: Suppose you play a game that you can only either win or lose. You win a game with probability 0.538.…

A: It is an application of Binomial distribution .Binomial distribution occurs as a consequence of…

Q: The probability of John going to the movies today is 0.7. The probability of Sam going to the movies…

A: Answer:- The probability of John going to the movies today is P(J) =  0.7               The…

Q: You have two unfair coins.  One coin has a probability of 0.55 of landing heads, and the other coin…

A: Given that  You have two unfair coins. One coin  Probability of landing head P(H1 ) = 0.55…

Q: A couple intend to have 4 children and they prefer boys 1.what is the probability that 2 of the…

A: A couple intend to have 4 children and they prefer boys.

Q: A math professor finds that when she schedules an office hour for student help, an average of 2.3…

A: Step 1:The probability mass function of the poisson distribution is given by…

Q: The probability that a boy will get a scholarship is 0.9 and that a girl will get is 0.8. What is…

A:

Q: The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3, 0.2 and 0.1…

A: Given that, the probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3, 0.2…

Q: You're gambling at a casino. Suppose the probability that you win roulette is 0.461 and the…

A: Let A denotes winning of roulette and B denotes winning of blackjack. Given: PA=0.461PA∩B=0.181 A…

Q: A ballon at a party pops when kids play with it with probability 0.40. What are the probability the…

A: Solution: From the given information, probability of a balloon at a party pops when kids play is…

Q: A single card is selected from a deck of playing cards what is the probability that the card is not…

A:

Q: A vaccine can cause two possible side effects: fatigue and insomnia. 32% of the people who received…

A:

Q: if the probability of tea A winning is 0.76, what is the probability that the team will loose?

A: We have to find probability of loose.

Q: Please correctly and asap

A: 1. Let G the event that the marble taken is green.Let B the event that the marble taken is…

Q: One of the 3 shooters is randomly chosen to hit the target once. For each shooter the probabilities…

A: E1: First shooter        P(E1) = 1/3 E2: Second Shooter  P(E2) = 1/3 E3: Third Shooter     P(E3) =…

Q: Juanita and Nina are bowling together. The probability of Juanita getting a strike next game is 24%…

A: Given that  Juanita and Nina are bowling together. The probability of Juanita getting a strike next…

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: What is the probability that no two boys are sitting together for a photograph if there are 5 girls…

A:

Q: suppose that 90% of students take math, 20% of students take chemistry and 15% take both. select a…

A:

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: A gambler has a probability of 0.4 of picking a winning team. What id the probability that the…

A: Given  W=Win, L =loss P(win)=P(W)=0.4  P(LLLW)=?

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: A card is randomly selected from a deck of an ordinary cards.what is the probability that the card…

A: Given: number of cards(n)=52number of spades cards (s)=13Number of less than 5 (y )=16…

Q: d. If we know that a person is a Broncos fan, the probability that they have 6 or more siblings is…

A:

Q: The probability that a song was rock is 0.5, the probability that it had over 1,000 plays is 0.4,…

A:

Q: Use the following dataaset and conduct a two-tailed test of significance on the Pearson r. Use   =…

A: According to our  Policy we can answer only first three part for remaining please repost the…

Q: In a particular NE college, the probability a professor receives the Wall Street Journal is .7. The…

A: For any two events A and B, union of A and B is the occurrence of either A or B or at least one of A…

Q: Suppose you have an .95 probability of making a single free throw and to make the basket ball team…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: If the probability of one event occurring is 1/4 and the probability of another event occurring is…

A: Given Data: P( event 1)=1/4 P( event 2)=1/10   Assuming the both events to be independent

Q: 0. What is the probability that a student does not have a college 1. A vending machine offers 8…

A: Answer is mentioned below for 4th one