Assume that when adults with smartphones are randomly selected,53 use...

Sample size n 13 Probability of an event of interest ....

Assume that when adults with smartphones are randomlyâ€‹ selected, 53% use them in meetings or classes....

Free

70.2K

Verified Solution

Question

Statistics

Assume that when adults with smartphones are randomlyâ€‹ selected,53% use them in meetings or classes. If 13 adult smartphone usersare randomlyâ€‹ selected, find the probability that fewer than 3 ofthem use their smartphones in meetings or classes.
The probability is ___.
â€‹(Type an integer or decimal rounded to four decimal places asâ€‹needed.)

Answer & Explanation Solved by verified expert

4.1 Ratings (646 Votes)

Sample size , n = Â Â 13
Probability of an event of interest, p =Â Â 0.53

P(fewer than 3) = P(X=0) + P(X=1) + P(X=2)

P ( X = Â Â 0Â Â ) = C(Â Â 13Â Â ,Â Â 0Â Â )*Â Â 0.53Â Â ^Â Â 0Â Â *Â Â 0.470Â Â ^Â Â 13Â Â =Â Â 0.0001
P ( X = Â Â 1Â Â ) = C(Â Â 13Â Â ,Â Â 1Â Â )*Â Â 0.53Â Â ^Â Â 1Â Â *Â Â 0.470Â Â ^Â Â 12Â Â =Â Â 0.0008
P ( X = Â Â 2Â Â ) = C(Â Â 13Â Â ,Â Â 2Â Â )*Â Â 0.53Â Â ^Â Â 2Â Â *Â Â 0.470Â Â ^Â Â 11Â Â =Â Â 0.0054

P(fewer than 3) = 0.0001 + 0.0008 + 0.0054 = 0.0063

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