Our event of interest is whether a defective chip is found in a set of chips,...

Our event of interest is whether a defective chip is found in a set of chips, and let Y be the number of chips that must be sampled until a defective one is found. The researchers estimate the probability of a defective chip at 30%. What is the probability that the 8th selected chip be the first defective one?

Solutions

Expert Solution

P(defective) = 0.3

P(8th selected chip be the first defective one) = P(no defective on first 7) * P(defective)

= (1 - 0.3)⁷ * 0.3

= 0.0247

milcah answered 1 year ago

Next > < Previous

Related Solutions

we are given n chips which may be working or defective. A working chip behaves as...

we are given n chips which may be working or defective. A working chip behaves as follows: if we connect it to another chip, the original chip will correctly output whether the new connected chip is working or is defective. However, if we connect a defective chip to another chip, it may output any arbitrary answer (defective---->might say the other one is working /defective). In the class, we saw that if strictly more than half the chips are working, then...

Out of six computer chips, two are defective. If two of the chips are chosen randomly...

Out of six computer chips, two are defective. If two of the chips are chosen randomly for testing, compute the probability that both of them are defective. List all the outcomes in the sample space, if we were checking all six computer chips. A quiz consists of 6 multiple-choice questions. Each question has 4 possible answers. A student is unprepared, and he has no choice but to guess answers completely at random. He passes the quiz if he gets at...

Scenario 3 A company manufacturing computer chips finds that 8% of all chips manufactured are defective....

Scenario 3 A company manufacturing computer chips finds that 8% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program. Questions 11 to 16 pertain to Scenario...

A bag contains 3 white chips and 3 red chips. you repeatedly draw a chip at...

A bag contains 3 white chips and 3 red chips. you repeatedly draw a chip at random from the bag. if it's white, you set it aside; if it's red, you put it back in the bag. after removing all 3 white chips, you stop. what is the expected number of times you will draw from the bag?

If 20% of the memory chips made in a certain plant are defective, what are the...

If 20% of the memory chips made in a certain plant are defective, what are the probabilities that in a lot of 100 randomly chosen for inspection (a)At most 15 will be defective (b)Exactly 15 will be defective (c)More than 18 will be defective

[Chocolate Chip Cookies] Consider a sample of 40 Chips Ahoy chocolate chip cookies. The mean number...

[Chocolate Chip Cookies] Consider a sample of 40 Chips Ahoy chocolate chip cookies. The mean number of chips per cookie is 23.95 chips and the standard deviation of all Chips Ahoy regular cookies is known to be 2.55 chips. Use a (alpha)=0.01 to test the claim that the mean number of chips is greater than 23. a.) what parameter is this addressing? b.) identify the null and alternative hypotheses using math notation. c.) calculate the test statistic (critical value is...

The number of chocolate chips in a chocolate chip cookie is Poisson with a mean of...

The number of chocolate chips in a chocolate chip cookie is Poisson with a mean of 3. a) What is the probability that a cookie has at most one chocolate chip in it? b) In a bag of ten cookies, what is the probability that at most one cookie of the ten has at most one chocolate chip in it? c) What is the probability (mass) function for the number of cookies that would have to be drawn until one...

n chips manufactured, two of which are defective. k chips randomly selected from n for testing....

n chips manufactured, two of which are defective. k chips randomly selected from n for testing. Q1. What is Pr(a defective chip is in k selected chips) ? n persons at a party throw hats in a pile, select at random. Q2. What is Pr(no one gets own hat) ? Q3. Plot Pr (no one gets own hat) in the Y-axis and n=[1,1000] in the X-axis (~pmf)

Q1/ A batch of printed circuit cards is populated with semiconductor chips with 25% are defective...

Q1/ A batch of printed circuit cards is populated with semiconductor chips with 25% are defective cards. Five of these are selected randomly for function testing.The random variable X has a binmial distribution. Find the probability that we get exactly one defective card 0.564 0.395 0.764 0.987 ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ Q2/ A batch of printed circuit cards is populated with semiconductor chips with 45% are defective cards. Five of these are selected randomly for function testing . The random variable X has...

Among the computer chips produced at a computer facility, 2% are mildly defective and an additional...

Among the computer chips produced at a computer facility, 2% are mildly defective and an additional 3% are highly defective. The remaining chips are OK. Different chips are independent in terms of status. If a chips is mildly defective, it costs $20 to repair it to proper condition. For highly defective chips, the cost is $60. There is no repair cost for OK chips. Suppose that 40 chips produced at this facility are examined for defects: 1. What is the...

Subjects