I need to figure this out in rstudio how to calculate this for Binomial and Poisson...

I need to figure this out in rstudio how to calculate this for Binomial and Poisson Distributions

Type 2 diabetes is becoming increasingly prevalent among the American adult population. Currently, 9.4% of American adults have diabetes (Centers for Disease Control and Prevention News Release, July 18, 2017). Suppose that 1000 American adults are randomly chosen and tested for Type 2 diabetes.

Use R to find the following probabilities, assuming that the rate of type 2 diabetes is 9.4%. Your R script should contain the commands you used to compute the probability.

Place your answers in the appropriate places in the Word document. Provide at least 4 decimal places for all probabilities.

Probability that exactly 94 of the adult Americans will have type 2 diabetes

Probability that more than 80 will have diabetes.

Probability that not more than 65 will have diabetes

Probability that fewer than 100 will have diabetes

Probability that at least 75 will have diabetes

Probability that Fewer than 20 will have diabetes.

Probability that between 50 and 90 (inclusive) will have diabetes.

Suppose that of the 1000 tested only 32 were found to have type 2 diabetes. What conclusions might you make concerning the assumption that the rate of type 2 diabetes is 9.4%? As part of your answer find the appropriate probability. Calculate it and enter it on your worksheet in addition to providing your written conclusions.

Calculate the mean for the probability distribution. Recall: mean = µ= np

Expert Solution

dbinom() function is used to calculate the exact probability and pbinom() function is used to calculate the cumulative probability. The R code is shown below,

R Code:

R output:

orchestra answered 1 year ago

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I need to figure this out in rstudio how to calculate this for Binomial and Poisson...

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