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 1 year ago

Next > < Previous

Related Solutions

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can,...

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 52 % have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts (a) through (d) below. Determine whether a...

In exercise 6, determine whether you can use a normal distribution t approximate the binomial distribution....

In exercise 6, determine whether you can use a normal distribution t approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities. A survey of U.S. adults found that 64% watch NFL football. You randomly select 20 U.S. adults and ask them whether they watch NFL football. Find the probability that the number who watch...

Decide whether you can use the normal distribution to approximate the binomial distribution. If you can,...

Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. Five percent of workers in a city use public transportation to get to work. You randomly select 269 workers and ask them if they use public transportation to get to work. (Complete parts A through D)...

Decide whether you can use the normal distribution to approximate the binomial distribution. If you can,...

Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. Five percent of workers in a city use public transportation to get to work. You randomly select 254 workers and ask them if they use public transportation to get to work. Complete parts (a) through (d)....

Binomial experiments are listed. Decide whether you can use the normal distribution to approximate x with...

Binomial experiments are listed. Decide whether you can use the normal distribution to approximate x with a normal distribution. If you can, find the mean and standard deviation. If you cannot, explain why (or show your work to why not). Part A Five percent of adults in the United States are planning to purchase a 3D television in the next two years. You randomly select 125 adults in the United States and ask them if they are planning to purchase...

Use the normal distribution to approximate the following binomial distribution. A soccer player has a 65%...

Use the normal distribution to approximate the following binomial distribution. A soccer player has a 65% chance of making a free kick. What is the probability of him making fewer than 24 free kicks in 40 kicks? a)0.2546 b)0.2119 c)0.2033 d)0.3085 e)0.1611 f) None of the above.

Mean and Variance of: continuous uniform distribution, normal distribution, normal approximation for binomial and Poisson distributions,...

Mean and Variance of: continuous uniform distribution, normal distribution, normal approximation for binomial and Poisson distributions, exponential distribution. and Continuous random variables Cumulative Distribution Function. In your own words summarize the above in three to five long sentences

1a)Explain when you can approximate a hypogeometric distribution using a binomial distribution. Why can we do...

1a)Explain when you can approximate a hypogeometric distribution using a binomial distribution. Why can we do this? Use an example to illustrate the approximation. b) Prove that if X follows a uniform distribution, the expectation is the average of all the outcomes.

Normal Approximation to the Binomial and Poisson Distributions. Lognormal Distribution 1. In a classroom, 1 person...

Normal Approximation to the Binomial and Poisson Distributions. Lognormal Distribution 1. In a classroom, 1 person in 6 students is left handed. If a class contains 40 students, what is the probability that 10 or more are left-handed? What is the probability that 10 or more are left-handed? 2. According to information available, an average of 3 accidents occurs every month in a certain junction of a city. But using suitable approximation, estimate the probability that at least 40 accidents...

Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used...

Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. nequals62, pequals0.3, and Xequals8

Subjects