A simple random sample of 105 analog circuits is obtained at random from an ongoing production process in which 30% of all circuits produced are...

A simple random sample of 105 analog circuits is obtained at random from an ongoing production process in which 30% of all circuits produced are defective.

Let X be a binomial random variable corresponding to the number of defective circuits in the sample. Use the normal approximation to the binomial distribution to compute P(26≤X≤36), the probability that between 26 and 36 circuits in the sample are defective.

Report your answer to two decimal places of precision.

Out of 20 items. 4 are defective and remaining 15 are goodLet X = number of defective among randomly selected 3 items. Here X follows Hypergeometric Distribution with parameters {N = 20. K = 4. n...