Suppose the defective rate at a particular factory is 1%. Suppose 50 parts were selected from the daily output of parts. Let X denote the number of defective parts in the sample. a) Find the probability that the sample contains exactly 2 defective parts. b) Use Poisson approximation to find the probability that the sample contains exactly 2 defective parts. c) Find the probability that the sample contains at most 1 defective part. d) Use Poisson approximation to find the probability that the sample contains at most 1defective part. 2.

Q: Suppose that the probability of a successful optical alignment in the assembly of an optical data…

A:

Q: The third worksheet labeled sample B is a simple random sample with replacement, with seven…

A: Population standard deviation(σ)=4 Sample size(n)=7 The given observations are…

Q: Show that if  X is a discrete random variable a mean of  mu and a standard deviation sigma, then…

A:

Q: Assume that women's weights are normally distributed with a mean given by u = 143 Ib and a standard…

A: The provided information are: Population mean (µ) =143 Population standard deviation (σ) = 29…

Q: t is the optim time for a scuba diver to be c the bottom of the ocean? That depends on the depth of…

A: x y 16.1 2.48 23.3 2.38 29.2 1.68 38.3 1.03 51.3 0.75 20.5 2.38 22.7 2.2 NOTE: Hi…

Q: What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the…

A: The regression is a method of machine learning under subgroup Supervised Learning. The regression…

Q: A Stat 510 student works at the IT Help Desk at Hale Library. She works there Tuesdays and Thursdays…

A: Introduction: Denote X as the time until the first walk-in on a Tuesday shift, and Y be the time…

Q: Let T be the time from birth until death (in years) of a randomly selected member of a population.…

A: T is the time from birth until death of a randomly selected member of a population.T has a Gamma…

Q: University center has two main computers of equivalent capacity. Computing jobs arriving at the…

A: This question considers the mean exponentially distributed execution time and the poisson mean…

Q: All pacemakers generate a pulse of current to depolarize a bit of the heart, the wave then…

A: Given : Claim : standard deviation σ is less than 0.06

Q: Let X be a random variable representing the number of times that you have to roll two dice until you…

A: Here, the given context follows negative binomial distribution with k = 10 and p = 118 (probability…

Q: What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Let X1, X2, X3... X20 be a random sample from a distribution with mean 8 and variance 5. Find the…

A:

Q: Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…

A: a)

Q: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean…

A: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean…

Q: WHAT ARE THE TWO ASSUMPTIONS TO BE ABLE TO USE THE T DESCRIPTION? a. We must assume that we are…

A: T-distribution is symmetric in nature.   Therefore, Option a and c are incorrect.

Q: Determine the probability that the minimum value in a random sample of size 5 from an exponential…

A: Required Probability = 0.9179 answer   Calculations:

Q: A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from…

A: Given Information: The hypothesized mean value μ0=54.7 Sample size n=25 Sample mean x¯=56.8 Sample…

Q: Assume that women's weights are normally distributed with a mean given by μ=143 and a standard…

A:

Q: 3. Find the variance and standard deviation of the probability distribution of a random variable X…

A: Variance=EX2-E2(X)=22920+42120+5215+32310-2920+4120+515+33102=10.3-32=1.3

Q: There are 3 blue and 2 red balls in a bag. The y random variable is the number of blue balls drawn…

A: Given Information: Total number of balls in the bag = 5 Number of  blue balls = 3 Number of red…

Q: Let (x1, x2,.., xn) be the observed values of a random sample for a Gaussian random variable X. Find…

A:

Q: What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the…

A: Comment: As per the our company guidelines we are supposed to answer only three subparts. Kindly…

Q: What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the…

A: Given data: (a) To find Σx, Σy, Σx2, Σy2, Σxy, and r. Calculations: Thus, ∑x=197.4 ∑y=13…

Q: Exercise 1 Hypertension is a long-term medical condition in which the blood pressure in the arteries…

A: The t-test is used to find the mean differences between the two groups. It is inferential statistics…

Q: The amount of time it takes students to complete a biology exam is normally distributed with a…

A:

Q: What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the…

A:

Q: With unit variance; the random variable Y is related to the random variable X by a linear…

A: Given: Random variable Y is related to random variable X by a linear relationship. Unit variance…

Q: Let Y be an exponential random variable with (unknown) mean 0.

A: Mean of Y is θ

Q: a. What is the probability that the software will fail after 1150 hours? b. What is the probability…

A:

Q: a) The failure time (T) of an electronic circuit board follows an exponential distribution with…

A:

Q: Direction: On your answer sheets, match Column X to Column Y and Match Column Y to Column Z by…

A: Given that population size is N=5 And Observations Xi: 5, 6, 7, 8, 9 Population mean = summation…

Q: What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: Let X1, X2, X3… X20 be a random sample from a distribution with mean 8 and variance 5. Find the mean…

A:

Q: The Poisson distribution gives the probability for the number of occurrences for a "rare" event.…

A:

Q: (b) Use a 1% level of significance to test the claim that ? < 0. (Round your answers to two decimal…

A: (b) The correlation value is obtained using EXCEL. The software procedure is given below: Enter the…

Q: The pulse rates of 161 randomly selected adult males vary from a low of 37 bpm to a high of 117 bpm.…

A: It is given that the sample size is 161. The adult males vary from a low of 37 bpm to a high of 117…