A new battery’s voltage may be acceptable (A) or unaccept- able (U). A certain flashlight requires...

60.1K

Verified Solution

Question

Basic Math

A new battery’s voltage may be acceptable (A) orunaccept- able (U). A certain flashlight requires twobatteries, so bat- teries will be independently selected and testeduntil two acceptable ones have been found. Suppose that 90% of allbatteries have acceptable voltages. Let Y denote thenumber of batteries that must be tested.
a) What is p(2), that is, P(Y 52)?
b) What is p(3)? [Hint: There are twodifferent outcomes
that result in Y 5 3.]
c) To have Y 5 5, what must be true of the fifthbattery
selected? List the four outcomes for which Y 5 5and
then determine p(5).
d) Use the pattern in your answers for parts (a)–(c) toobtain
a general formula for p(y)
e) instead of the random variable Y given in the textbook,define a Negative Binomial random variable and do this question.Also, state the mean and standard deviation for this negativebinomial random variable and interpret it in the context of thequestion

Answer & Explanation Solved by verified expert

4.3 Ratings (713 Votes)

From the given information we havePA 090 PU 1 090 010aHere we need to find the probability that is two trials we gettwo batteries that are acceptableThe possible outcome is AASince See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member