# Question: Although Microsoft Windows is the primary operating system for desktop

Although Microsoft Windows is the primary operating system for desktop and laptop PC computers, Microsoft’s Windows Phone operating system is installed in only 1.6% of smart phones (www. latimes.com/business/la-fi-google-mobile-20110817,0,6230477.story).

a. Assuming that 1.6% of all current smart phones have Microsoft’s Windows Phone operating system, using the binomial formula, find the probability that the number of smart phones in a sample of 80 that have Microsoft’s Windows Phone operating system is

i. Exactly 2

ii. Exactly 4

b. Suppose that 5% of all current smart phones have Microsoft’s Windows Phone operating system. Use the binomial probabilities table (Table I of Appendix C) or technology to find the probability that in a random sample of 20 smart phones, the number of smart phones that have Microsoft’s Windows Phone operating system is

i. At most 2

ii. 2 to 3

iii. at least 2

a. Assuming that 1.6% of all current smart phones have Microsoft’s Windows Phone operating system, using the binomial formula, find the probability that the number of smart phones in a sample of 80 that have Microsoft’s Windows Phone operating system is

i. Exactly 2

ii. Exactly 4

b. Suppose that 5% of all current smart phones have Microsoft’s Windows Phone operating system. Use the binomial probabilities table (Table I of Appendix C) or technology to find the probability that in a random sample of 20 smart phones, the number of smart phones that have Microsoft’s Windows Phone operating system is

i. At most 2

ii. 2 to 3

iii. at least 2

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