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Taya2010 [7]
3 years ago
10

The number of camera phones shipped globally can be modeled by the function y=1.28e^1.31x where x is the number of years since 1

997 and years since 1997 and y is the number of camera phones shipped in millions. how many camera phones were shipped in 2014
Mathematics
1 answer:
erik [133]3 years ago
8 0
The first thing you should know for this case is how many years there are from 1997 to 2014.
 The number of years is:
 x = 2014-1997 = 17
 Then, you must replace this value in the given equation:
 y = 1.28e ^ 1.31x
 y = 1.28 * e ^ (1.31 * (17))
 y = 6011018736
 answer:
 the number of camera phones shipped in millions in 2014 is
 y = 6011018736
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Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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And \pi is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so n = 50

4% of the U.S population has blood type AB, so p = 0.04.

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

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