Question

A recent survey reported that 44% of 18 to 29-year-olds in a certain country own tablets. Using the binomial? distribution, complete parts? (a) through? (e) below. a. What is the probability that in the next six? 18- to? 29-year-olds surveyed, four will own a? tablet? b. What is the probability that in the next six? 18- to? 29-year-olds surveyed, all six will own a? tablet? c. What is the probability that in the next six? 18- to? 29-year-olds surveyed, at least four will own a? tablet? d. What are the mean and standard deviation of the number of? 18- to? 29-year-olds who will own a tablet in a survey of? six? e. What assumptions do you need to make in? (a) through? (c)? Select all that apply. -The outcome of any observation is independent of the outcome of any other observation. -The probability of an observation being classified as the event of? interest, pi??, is constant from observation to observation. -The outcome of any observation is dependent of the outcome of any other observation. -Each observation is classified into one of two mutually exclusive and collectively exhaustive categories.

Answer #1

a) probability that in the next six 18-29 year-olds surveyed, four will own a tablet

= =0.1763

b)

P(all six own a tablet)=(0.44)^{6} =0.0073

c)

P(at least four will own a tablet)=P(X>=4)= =0.2390

d)

mean =np=6*0.44=2.64

std deviaiton=sqrt(np(1-p))=1.2159

e)correct option are:

The outcome of any observation is independent of the outcome of any other observation

probability of an observation being classified as the event of interest, pi is constant from observation to observation.

Each observation is classified into one of two mutually exclusive and collectively exhaustive categories.

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