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Samsung, Nokia, or Apple? Samsung is by far the market leader in bestselling cell phones worldwide....

Samsung, Nokia, or Apple? Samsung is by far the market leader in bestselling cell phones worldwide. It commands 25.7% of the market. Nokia's share is 13.8%, Apple is 6.7%, LG is 4%. Out of a random sample of 30 customers at the phone store, what is the probability that exactly half will have Samsungs?

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Answer #1

The given problem can be represented as a Poisson distributed one as follows.

Probability of having a Samsung phone p=0.257 is relatively small where number of observations n=30 is higher and np=7.71 possesing moderate value.

Suppose, random variable X denotes number of Samsung phones.

So, probabilty that exactly half will be Samsung is given by

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