The manufacturing of semiconductor chips produces 2% defective chips. Assume that the chips are independent and that a batch contains 1000 chips. Let the random variable X be the number of defective chips. a) Disregarding the number of chips, what probability distribution is the most appropriate to model the scenario? b) Why is the probability distribution valid to be approximated by a Normal probability distribution? What conditions are satisfied? c) What is the mean and variance of the random variable X? d) If we want to find the probability that X< 25, find the corresponding standard normal random variable Z. e) What is the probability that there are less than 25 chips in the lot?

Q: A plastic injection molding machine operates 320 days a year. It is the bottleneck workstation in a…

A: It is required to determine the expected cost of a breakdown per day, and the amount saved by the…

Q: A test for a certain disease takes anywhere from 1 minute to 10 minutes to administer. If the time…

A: From the given information, let X be the test time for the administer to identify the disease. Here,…

Q: If X is normal random variable with mean 3 and variance 5, then find the probability P(2 < X <6).

A:

Q: (c) Compute and interpret the mean of the random variable X. hits (Type an integer or a decimal. Do…

A:

Q: A)- If the random variable X has a Exponential distribution with parameters A= 1, then what is the…

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

Q: An assembly line, based on past production, has a 2% defective rate. A random sample of 800…

A: Given that n=800 p=0.02 q=1-p =1-0.02 =0.98

Q: According to the National Institute of Allergy and Infectious Diseases, approximately 8% of American…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: A six-sided die has four green and two red faces and is balanced so that each face is equally likely…

A: Given A six sides die and it has 4 green faces and 2 red faces.we need to find the distribution…

Q: b) For a random sample of size n = 49, and suppose the population is not normal, what can we say…

A:

Q: Assume that you have decided to sample your production run and you assume that you sample is…

A: Total number of parts sampled = 192Number of parts that meet specifications = 108Number of parts…

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Given: Population mean oxygen demand μ=9.2mg/L 95% confidence interval = 6.0 mg/L, 12.4 mg/L x is…

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: From the provided information, Mean (µ) = 9.9 mg/L 95% of the data ranging from 7.3 mg/L to 12.5…

Q: We have a red and a blue fair 4 sided die. Our random experiment is tosses of both dies…

A: Given: Red and Blue fair 4 sided die

Q: 10. Tell whether the given values represent a Probability Distribution or not. P(1) = 1/4 , P(2) =…

A: 10)Given data is P(1)=14,P(2)=18,P(3)=14,P(5)=18

Q: Consider a population with mean u = 50 and standard deviation o = 4. Let X1,X2, ... ,X10 be a random…

A: Given: Mean μ=50. Standard deviation σ=4 Determine the expected value of Standard deviation  using…

Q: Let Y₁, Y2, Y3 be independent and identically distributed random variables from the same population.…

A: be the independent and identically distributed random variables from the same population. be the…

Q: two balls are drawn in succession without replacementfrom a box contsining two red nall, three green…

A: Given that a box consists of; 2 red balls 3 green balls 4 yellow balls Now two balls are drawn…

Q: A survey was conducted to gather information on the coffee intake of residents in a specific…

A: Consider a random variable x with probability distribution of p(x). Now, p(x) is said to be a valid…

Q: Berkat Health Insurance wishes to introduce a new insurance policy for smokers. They conducted a…

A:

Q: Given that A and B are independent events, show that A and B are also independent events.

A:

Q: ive males with an​ X-linked genetic disorder have one child each. The random variable x is the…

A: A probability distribution is not given.

Q: b. It was determined that, in his one day international cricket career, West-Indian batsman Carl…

A: An average of 3 boundaries per matchLet "x" be that Hooper will hit boundariesx~Poisson()P(X=x)=

Q: can you explain how to standardize this? ste

A: Since you have asked multiple questions, we will provide the answer to the first question. In order…

Q: plant a. Construct the probability distribution of the random variable, X, representing the number…

A:

Q: Determine whether the following value is a continuous random variable, discrete random variable, or…

A: We need to determine whether  the given value is a continuous random variable,  discrete random…

Q: 2. Show that a Uniform(0, 0) random variable is not an exponential family distribution.

A: A joint probability mass function or joint probability density function, {f(x|θ;θ=(θ1,θ2,...θn)∈Θ}…

Q: b. Create a probability distribution showing the number of "heads" obtained. Let X represent the…

A: X represents the value of the number of Heads in 20 tosses of a coin. The probability of getting a…

Q: L An elevator sign says that it can hold 30 people or 4800 lb. Suppose that the weight of a randomly…

A: The number of people is n=30 , the mean for the randomly selected variable is μ=150 lb and the…

Q: In order to verify the accuracy of their financial accounts, companies use auditors on a regular…

A: As Prof. N. G. Das said "Let there are n trials and each having two outcomes - Success and Failure.…

Q: Suppose that a die rolled twice. What are the possible values that the following random variables…

A: Here a die is rolled twice. So possible outcomes are  36 which are {(1,1), (1,2), (1,3), (1,4),…

Q: Let X be the discrete r.v. that represents the number of Boys in a three-child family. Assume that…

A: The variable X is the number of Boys in a three-child family with the outcomes boys and girls are…

Q: A test of 100 motor is done to determine the defective motors. The probability that a motor is…

A:

Q: A poll reported that 63% of adults were satisfied with the job the major airlines were doing.…

A: 63% of adults were satisfied with the job the major airlines were doing.Sample size  adults.

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Given information μ = 9.9 mg/L 95% of the data ranging from 7.3 mg/L to 12.5 mg/L As per empirical…

Q: The probability is 0.35 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver…

A: The probability that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or…

Q: The number of calls coming in to order roses from a flower shop averages 3 per minute a. Define…

A:

Q: Among 1000 lottery tickets one wins 500 euros, 10 tickets win 100 euros each, 50 tickets win 20…

A: Among 1000 lottery tickets one wins 500 euros , hence the probability of winning out of 1000 tickets…

Q: Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009.…

A: Given : The random variable X be the number of songs in which Taylor Swift complained about some…