5.28 A manufacturer knows that on average 20% of the electric toasters produced require repairs within 1 year after they are sold. When 20 toasters are ran- domly selected, find appropriate numbers and y such that (a) the probability that at least x of them will require repairs is less than 0.5; (b) the probability that at least y of them will not re- quire repairs is greater than 0.8.

Q: If the probability that a fluorescent light has a useful life of at least 700 hours is 0.9, find the…

A: The question is about discrete probability distribution.Given :Probability that a light has a useful…

Q: 3.4 Q4: Twenty percent of all telephones of a certain type are submitted for service while under…

A: The problem states that 20% are likely to need warranty service, and of the 20% that need repair,…

Q: 2.4-8. A boiler has five relief valves. The probability that each opens properly is 0.97. (a) Find…

A: Givenn=5p=0.97Let "x" be the no.valves open properlyx~Binomial(n=5,p=0.97)P(X=x)=(nx)×px×(1-p)n-x…

Q: A smartphone manufacturer admits that 12% of the smartphones they make have defects that could…

A: Given Data: 'X' is the number of smartphones manufactured that have defects p=0.12 n=20   X~…

Q: Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2. Suppose that P(A) = 0.4. Explain why P(A…

A: Given that Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2. Suppose that P(A) = 0.4.  We have…

Q: There are three alterntive links between A and B. The probabilities that a particular message has…

A: The probability can be obtained using the formula  P(at least one) =1-P(none)

Q: a. What is the probability of error for an arbitrary connection? (Hint: This is similar to the…

A: HERE WE USE PROBABILITY TREE FOR RETRIVE PROBABILITY FROM GIVEN INFORMATION

Q: Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and…

A: event  A : consumes coffee B : consumes carbonated soda P(A) = 0.55 P(B) = 0.45 P(A∪B) = 0.70

Q: Assume that ticket prices for an event are normally distributed. What z-value corresponds to the 1%…

A: we have to find  z value..

Q: A smartphone manufacturer admits that 12% of the smartphones they make have defects that could…

A: 1. Given that X=the number of smartphones manufactured by this company that have defects that could…

Q: A researcher is conducting a study on Parkinson's disease. For the 100 patients he interviews, he…

A: A researcher is conducting a study on Parkinson's disease. For the 100 patients he interviews, he…

Q: Suppose that there is a 0.9% chance a planet will develop life, a 2.3% chance that the life will…

A: Given  Probability of a planet can develop life=0.9% Probability of a planet can evolve into…

Q: A certain system is based on two indeperndent modules, A and B. A failure of any one of these…

A: Given:  Modules A and B are independent modules. λA=0.1λB=0.25   X≥12 The pdf of an exponential…

Q: Suppose that 2% of all steel shafts produced by a certain process are nonconforming but can be…

A: Givensample size(n)=240p=0.25q=1-p=1-0.25=0.75mean(μ)=np = 240×0.25 = 60standard…

Q: 7% of messages on Jmes.com have objectionable material. This means that if we randomly select a…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: uppose 58.8% of small businesses experience cash flow problems in their first 5 years. A consultant…

A: Answer  Sample size [n] = 557 P = 58.8% =58.8/100 = 0.588  the probability that greater than 55.85%…