Question

In: Statistics and Probability

For the following binomial distributions, determine if you can approximate with a normal distribution. Then, find...

For the following binomial distributions, determine if you can approximate with a normal distribution. Then, find the given probabilities.

a) A survey of US adults found that 55% are familiar with the Geneva Conventions and international humanitarian law. You randomly select 40 US adults and ask them whether they are familiar with the Geneva Conventions and international humanitarian law. Find the probability that between 18 and 25, inclusive, are familiar with the Geneva Conventions and international humanitarian law.

Can you use the normal approximation?

what is the probability?

b) A survey of US adults found that 11% think that Congress is a good reflection of Americans’ views. You randomly select 35 US adults and ask them whether they think that Congress is a good reflection of Americans’ views. Find the probability that exactly 15 think that Congress is a good reflection of Americans’ views.

Can you use the normal approximation?

what is the probability?

Solutions

Expert Solution

So , X~ B(35,0.11)

Now, P(X=15)=

P(X=15) = 0.0000

orchestra answered 2 years ago
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