B3. (a) The village of Sunnyridge has installed an array of 6 wind turbines. The probability of any day being insufficiently windy for the turbines to operate is found to be 0.3. The probability on any day that any individual turbine needs to be shut down for maintenance is found to be 0.1. [You may assume that all probabilities are mutually independent] A monitoring device is mounted upon one of the wind turbines. (i) What is the probability that the monitored wind turbine operates on any given day? (ii) The monitored turbine is observed to be not operating. What is the proba- bility that this turbine has been shut down for maintenance? (iii) What is the probability that more than 2 of the 6 turbines are shut down for maintenance on any particular day? (iv) What is the probability that at least 4 turbines are operating on any particular day? (b) Sunnyridge decide to additionally install a solar energy plant. From prior weather records, it is estimated that the number of hours per day of sunshine at Sunnyridge S is a random variable that obeys a probability density function 0≤s<2 ½ fs(s) = 12 s 70 2≤8<12. 0 otherwise (i) What is the probability of less than 4 hours of sunshine on any given day? (ii) Find the mean and variance of the number of hours of daylight. (iii) Find the probability of there being less than 1400 hours of sunshine in a year.

Q: The probability that a contractor will get a sanitation contract is 2/3 and the probability that he…

A: GivenThe probability that a contractor will get a sanitation contract = 23The probability that a…

Q: Assume that A, B and C are three independent events such that P (A) = 0.2, P (B) = 0.5 and P (C) =…

A: Given: PA=0.2PB=0.5PC=0.1 A, B and C are independent events.  Since they are independent events,…

Q: Q. 2 The probability that a smoker who consumes over 20 cigarettes 4 The 10 5 The 10 a day will…

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: The cost of car insurance is OR 40 per year. The policy of the company is to stop the insurance of a…

A: It is an important part of statistics. It is widely used.

Q: Two engines (one old and one new) fail independently of one another. The probability that both…

A: Independent events: Those two or more events are considered independent events if the appearance of…

Q: Find the probability of the indicated event if P(E)= 0.30 and P(F) = 0.55. Find P(E or F) if P(E and…

A: The provided information are: P(E)=0.30 P(F)=0.55 P(E and F)=0.15 To calculate the P(E or F) use the…

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: The probability is 0.4 that the final exam is difficult. If the final exam is difficult, the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: The probability of two events A and B are 0.25 and 0.5 respectively. Probability of ther…

A: Introduction :

Q: Machines A and B produce 40% and 60% respectively of the production of a component intended for the…

A: Conditional Probability: Let A and B be two events with P(A) &gt; 0. Then the conditional…

Q: Find P(A or B or C) for the given probabilities. P(A) = 0.35, P(B) = 0.24, P(C) = 0.14 P(A and B) =…

A: P(A) = 0.35, P(B) = 0.24, P(C) = 0.14 P(A and B) = 0.13, P(A and C)=0.02, P(B and C) = 0.06 P(A and…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 73% of all…

A: Given  The probability that drugs are reason for thefts=0.73. We need to determine out of given 5…

Q: You purchase a brand new car for $21750 and insure it. The policy pays 65% of the car's value if…

A: The company gives 65% of the cars value if there is an issue with engine, so it follows: 65% of…

Q: If the probability of a student taking a strength training gym class is 0.90, the probability of…

A: Additive rule of probability , P( A or B ) = P(A) + P(B) - P( A and B )

Q: Find P(A or B or C) for the given probabilities. P(A) = 0.35, P(B) = 0.28, P(C) = 0.14 P(A and B) =…

A: Given : P(A) = 0.35 P(B) = 0.28 P(C) = 0.14 P(A and B) = 0.13 P(A and C) = 0.04 P(B and C) = 0.09…

Q: If the probability of a student taking a strength training gym class is 0.90, the probability of…

A: Given, The probability of a student taking a strength training gym class(P(A))=0.90 The probability…

Q: The probabilities that the secretary of a construction company, her manager, or both will be sick on…

A: Let A=secretary will be sick  B=manager will be sickGiven,P(A)=0.04P(B)=0.07P(A∩B)=0.02

Q: The probability that it will snow is .2. Given that it snows, the probability is .4 that the plane…

A: Let A and B be two events with P(A) &gt; 0. Then the conditional probability of B given A, denoted…

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

A:

Q: We know that on a random day during the summer the probability that an adult in California goes to…

A: Introduction :-  Here we have to find various probabilities for given scenerio. Given :-…

Q: cording to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A: GIVEN DATA event A  : river 24 years old or lessevent F : driver in a fatal accident is femaleP(F) =…

Q: Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna will make a…

A:

Q: Aand Bare shooting baskets, with probabilities of making a shot at 0.6 and 0.7 respectively. Each of…

A: people, A and B are shooting baskets.The probability of A making a shot, The probability of B making…

Q: Calculate the following probabilities, to two decimal places: If P(A)=0.46, P(B)=0.59, and P(A or…

A:

Q: On any particular Friday evening, the probability  that Jason will go to the mall and go for a…

A: event A : go to the mall event B : go for a coffee P(A∩B) = 13P(B|A) = 47P(A) = ?

Q: Suppose that John Q. Basketballplayer has made 8.9% of his previous free throw attempts.  What is…

A: Let X be the random variable from binomial distribution with probability (p) = 8.9% = 0.089 and…

Q: In a group of children the probability a child had black hair is 0.7. The probability that a child…

A: We have given that  P( black hair ) = 0.70 P( brown eyes ) = 0.55 P( black hair or brown eyes ) =…

Q: When Mitchell drives back home from campus, he has to pass through two sets of traffic lights. The…

A:

Q: f Mary is late for school one particular day of the week, the probability she arrives on time the…

A: Given Data: P( late the next day | on time the previous day)=0.3 P( late the next day | late the…

Q: An insurance company found that 2.4% of male drivers between the ages of 18 and 25 are involved in…

A: 2.4% of male drivers of ages between 18 and 25 are involved in serious accidents.Every accident…

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) =…

A: GivenP(G)=0.35P(H)=0.9P(H and G) = 0.1

Q: In a remote jungle village the probability of a child contracting malaria is .45 the probability of…

A:

Q: Find the probability that either event A or B occurs if the chance of A occurring is 0.5,the chances…

A:

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.25; P(H) =…

A: Given data,  P(G) = 0.25; P(H) = 0.3; P(H AND G) =0.1.  P(H OR G) =?

Q: 11. Find the probability of the indicated event if P(E) = 0.20 and P(F) = 0.35. Find P(E and F) if…

A: Obtain the probability of P(E and F).   The probability of P(E and F) is obtained below as follows:…

Q: A jet fighter consists of two engines. The probability that the second engine functions in a…

A: A is the event that shows the first engine functions in a satisfactory manner during its design…