Resistors are sold in packs of 40. Each resistor has probability of 0.02 of being faulty,...

Transcribed Image Text:

Resistors are sold in packs of 40. Each resistor has probability of 0.02 of being faulty, and also resistors in a pack can be considered to be independent. Let the number of faulty resistors in a randomly selected pack be denoted by the random variable X. (a) A suitable probability model for X is a binomial distribution. What are the parameters of the binomial model in this case. Justify the use of a binomial model in context. (b) Find the probability that exactly 5 resistors are faulty. Please give your MATLAB commands for full marks. (c) The company that sells the resistors offers a refund if 4 or more resistors are faulty. Calculate the probability that a pack will warrant a refund. Again, please include your MATLAB commands for full marks. (d) The company has decided that it is paying too many refunds, and so it has decided that it would like the probability of a refund to be less than or equal to 0.0005. Write a MATLAB script that determines the largest probability that a single resistor can have of being faulty, such that the probability of a refund is less than or equal to 0.0005. Your script must assign values to four variables: n: the number of resistors in each pack, pFaulty: a row vector containing 100 equally spaced values from 0 to 0.01, Resistors are sold in packs of 40. Each resistor has probability of 0.02 of being faulty, and also resistors in a pack can be considered to be independent. Let the number of faulty resistors in a randomly selected pack be denoted by the random variable X. (a) A suitable probability model for X is a binomial distribution. What are the parameters of the binomial model in this case. Justify the use of a binomial model in context. (b) Find the probability that exactly 5 resistors are faulty. Please give your MATLAB commands for full marks. (c) The company that sells the resistors offers a refund if 4 or more resistors are faulty. Calculate the probability that a pack will warrant a refund. Again, please include your MATLAB commands for full marks. (d) The company has decided that it is paying too many refunds, and so it has decided that it would like the probability of a refund to be less than or equal to 0.0005. Write a MATLAB script that determines the largest probability that a single resistor can have of being faulty, such that the probability of a refund is less than or equal to 0.0005. Your script must assign values to four variables: n: the number of resistors in each pack, pFaulty: a row vector containing 100 equally spaced values from 0 to 0.01,

Answer rating: 100% (QA)

a A suitable probability model for X is a binomial distribution n40 number of resistors in a pack p002 probability of a single resistor being faulty T... View the full answer