5. In a particular country on the African continent, 35% of the population is estimated to have at at least one smart phone. If a small sample of 40 people is selected from the population for a statistical investigation, Use the Binomial distribution to estimate the probability that, the number of people in the sample that have at least one smart phone is; a) at most 15; b) more than 12 but fewer than 18; c) exactly equal to the mean of the distribution
5. In a particular country on the African continent, 35% of the population is estimated to have at at least one smart phone. If a small sample of 40 people is selected from the population for a statistical investigation, Use the Binomial distribution to estimate the probability that, the number of people in the sample that have at least one smart phone is; a) at most 15; b) more than 12 but fewer than 18; c) exactly equal to the mean of the distribution
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:5. In a particular country on the African continent, 35% of the population is estimated to have at
at least one smart phone. If a small sample of 40 people is selected from the population
for a statistical investigation, Use the Binomial distribution to estimate the probability that,
the number of people in the sample that have at least one smart phone is;
a) at most 15;
b) more than 12 but fewer than 18;
c) exactly equal to the mean of the distribution
Transcribed Image Text:3. Dr. Eliplim Agbenoxevi works in the Quality Control Department of a large Information
Technology company in Ghana. The time, T minutes, it takes him to analyse a sample is
normally distributed with mean 18 minutes and standard deviation 5 minutes.
(a) Find the probability that he takes longer than 20 minutes to analyse the next sample
The Information Technology company has a large store of samples analysed by Dr. Eliplim
Agbenoxevi with the time taken for each analysis recorded. Another staff by name Dr. Akuvi
Wolekplime is investigating the samples that took her colleague longer than 15 minutes to
analyse. She selects, at random, one of the samples that took Dr. Eliplim Agbenoxevi longer
than 15 minutes to analyse.
(b) Find the probability that this sample took Dr. Akuvi Wolekplime more than 20 minutes
to analyse, given that it took her colleague more than 15 minutes to analyse?
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