The quality Control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of six syringes taken from the batch.  Suppose the batch contains 5% defective Syringes. Make a histogram showing the probabilities of r = 0,1, 2 , 3, ... , 5 and 6 defective syringes in a random sample of six syringes. B. Find u ( in terms of the number of syringes) (enter your answer to two decimal places. ) u = _________ syringes  What is the expected number of defective syringes the inspector will finf? (Enter a number. Enter your answer to two decimal places.)   _____ syringes  C. What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.) D. Find o (in terms of the number of syringes). (Enter your answer to three decimal places.) o = ___________ syringes

Question

The quality Control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of six syringes taken from the batch.  Suppose the batch contains 5% defective Syringes.

Make a histogram showing the probabilities of r = 0,1, 2 , 3, ... , 5 and 6 defective syringes in a random sample of six syringes.

B. Find u ( in terms of the number of syringes) (enter your answer to two decimal places. )

u = _________ syringes 

What is the expected number of defective syringes the inspector will finf? (Enter a number. Enter your answer to two decimal places.)   _____ syringes 

C. What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)

D. Find (in terms of the number of syringes). (Enter your answer to three decimal places.)

= ___________ syringes 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Second part A and B only.

A: Please find the solution to Second part A and B only.  

Q: The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean...

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

Q: A 2017 study of 10,478 Bangladesh children tracked the washing habits of the children's mothers via ...

A: The claim of the test is that there is relationship between washing habits and food security. The hy...

Q: Suppose we want to test whether or not the average SAT score at the University of Seychelles is sign...

A: From provided information, It is claimed that the average SAT score at the University of Seychelles ...

Q: Assume a media agency reports that it takes television streaming service subscribers in the U.S. an ...

A: Given information- Population mean, μ = 6.14 days Sample size, n = 825 Sample mean, x-bar = 5.84 day...

Q: In economics, of all new products put on the market, 60% failed and are taken off the market within ...

A: Click to see the answer

Q: The times of london reported on 4 January 2002 that Polish mathematicians recorded 140 heads in 250 ...

A: Given information- Sample size, n = 250 Significance level, α = 0.05 We have given that 140 heads in...

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 86 inches and a standar...

A: Here it is given that the lengths of lumber a machine cuts are normally distributed with a mean of 8...

Q: Values are uniformly distributed between 180 and 261.*(Round your answers to 3 decimal places, e.g. ...

A: X ~ Uniform( 180,261) a.) f(x)=1261-180=181=0.012,180≤x≤2610,otherwise b.) The mean of X is given by...

Q: Constructing a Confidence Interval for a Population Mean Assume that a sample is used to estimate a ...

A: Obtain the 95% confidence interval for the population mean. The 95% confidence interval for the popu...

Q: Refer to the Buena School bus data. Develop a regression equation that expresses the relationship be...

A: Click to see the answer

Q: A sample of n = 4 scores is selected from a population with m = 50 and s = 12.  If the sample mean i...

A: Click to see the answer

Q: Ackerman and Goldsmith (2011) found that students who studied text from printed hardcopy had better ...

A: From provided information, claim is score for students using e-books were significantly different fr...

Q: A researcher studies the effect of cognitive psychotherapy on positive self-regard. The number of po...

A: Therapist predicts that cognitive psychotherapy will increase the number of positive statements, the...

Q: The dry shear strength of birch plywood bonded with different resin glues was studied with a complet...

A: Click to see the answer

Q: Very briefly, explain if the value in the dominator of the one sample and independent sample t test ...

A: Major difference is the degrees of freedom

Q: Find the probability and interpret the results. If convenient, use technology to find the probabilit...

A: Click to see the answer

Q: A property analyst is examining the relationship between the City Council’s valuation on residential...

A:  

Q: 31% of college students say they use credit cards because of the rewards program. You randomly selec...

A: Let "X" be college students who use credit cards. I will use the excel formula "=BINOM.DIST(x, n, p...

Q: a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distri...

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

Q: To determine the percentage of patients who follow the advice of their personal physician, researche...

A: To check :  H0 : P = 0.96   vs H1 :P≥ 0.96 P: population proportion of patients across the nation fo...

Q: A​ true/false test has 110 questions. A passing grade is 57​% or more correct answers. Find the appr...

A: Binomial distribution: It is the probability distribution of a discrete random variable. The distrib...

Q: The proportion of people changing residence in the USA each year is 0.165. A researcher believes tha...

A: Given: n=50 p0=0.165p⏜=0.24α=0.05  

Q: In dependent samples t test, you calculate the standard deviation for the _______. Group of answer c...

A: Paired t test (dependent samples t test): The mean of the same group at different times are compare...

Q: The college physical education department offered an advanced first aid course last summer. The scor...

A: Click to see the answer

Q: Find the probability that none of the households are tuned to Found?

A: Click to see the answer

Q: What term is used to identify the standard deviation of the distribution of sample means? a. t...

A: Sampling distribution is the probability distribution of the statistic of the sample.  For example t...

Q: Find the mean and the standard deviation for these ages. b) Draw the boxplot and explain what it tel...

A: When the data is provided , we can give insight to the data by doing certain plots . Also by creatin...

Q: To combat antibiatic resistance, the Quality Consortium recommends a throat swab to confirm strep th...

A: From the provided information, Population proportion (p) = 0.40 The hypotheses can be constructed as...

Q: Assume that you have a binomial experiment with p= .3 and a sample size of a 100. The value of the v...

A: Conider a binomial random variable "X". The variance of the random variable X is given by:

Q: A random sample of 415 potential voters was interviewed three weeks before the start of a state-wide...

A: From the given information, Let X be the number of voters that they favoured the new candidate. X = ...

Q: Consider the binomial experiment  with n = 8 trials where the probability of success on a single tri...

A: Click to see the answer

Q: You may need to use the appropriate appendix table to answer this question. The time needed to compl...

A: Click to see the answer

Q: A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were de...

A: Hi, since you have asked more than one question in one request, we have answered only the first ques...

Q: The amount of time adults spend watching television is closely monitored by firms because this helps...

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean ...

Q: Let the sample mean of a set of 20 data points be 30. If it is discovered that a data point having v...

A: Click to see the answer

Q: Independent random samples of professional football and basketball players gave the following inform...

A: Click to see the answer

Q: Company XYZ knows that replacement times for the DVD players it produces are normally distributed wi...

A: Click to see the answer

Q: Question Help The population mean and standard deviation are given below. Find the required probabil...

A: Click to see the answer

Q: The dry shear strength of birch plywood bonded with different resin glues was studied with a complet...

A: GIVEN: Glue A (102; 58; 45; 79; 68; 63; 117)  Glue C (100; 102; 80; 119)  Glue F (220; 243; 189; 176...

Q: A sample of n = 16 scores is obtained from a population with μ = 70 and σ = 20. If the sample mean i...

A: The sample mean also follow normal distribution with following parameters

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a ...

A: Solution: Let X be the average monthly grocery bill for an individual is normally distributed with m...

Q: A researcher surveys 50 individuals in Smithville and 40 in Amherst, finding that 30% of smithville ...

A: Given: Smithville is taken as the first group. Amherst is taken as the second group. n1=50n2=40p1=0....

Q: Suppose you want to test the claim that a population mean equals 38.  State the null hypothesis.

A: Given that, Claim: population mean equals 38.

Q: Suppose that a random sample of size 100 is to be selected from a population with mean 50 and standa...

A: Click to see the answer

Q: Periodically, the county Water Department tests the drinking water of homeowners for contminants suc...

A: (a) The 99% confidence interval for the mean lead level in water specimens of the sub development is...

Q: A quality control company was hired to study the length of meter sticks produced by a certain compan...

A: The mean length would be at the 92nd percentile is obtained below: here, P (Z < z) = 92% P (Z &lt...