Suppose 88% of all batteries from a supplier have acceptable voltages. A certain type of flashlight...

70.2K

Verified Solution

Question

Statistics

Suppose 88% of all batteries from a supplier have acceptablevoltages. A certain type of flashlight requires two type-Dbatteries, and the flashlight will work only if both its batterieshave acceptable voltages. Treat all batteries and flashlights asindependent of each other.
(a) In 20 randomly selected batteries, what is the probabilitythat 19 or 20 have acceptable voltages?
(b) Suppose 20 randomly selected batteries are placed into 10flashlights. What is the probability that at least 9 of theflashlights function properly? Hint: Determine the probability thata single flashlight functions, then use that to find the desiredprobability.
(c) You probabilities in parts a and b should differ slightly.Why do you think this is?

Answer & Explanation Solved by verified expert

3.7 Ratings (619 Votes)

Please note nCr n nrr Binomial Probability nCx px qnx where n number of trials and x is the number of successes a Here n 20 p 088 q 1 p 012 P19 or 20 P19 P20 P19 20C19 08819 01220191 02115349 P20 20C20 08820 01220200 00775628 Therefore the required 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