36% of working mothers do not have enough money to cover their health insurance deductibles. You randomly select six working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable represents the number of working mothers who do not have enough money to cover their health insurance deductibles. Complete parts​ (a) through​ (c) below. ​(a) Construct a binomial distribution using n=6 and p=0.36.  XP(X)0 1 2 3 4 5 6  ​(b) Graph the binomial distribution using a histogram and describe its shape. Describe the shape of the histogram  (c) What values of the random variables would you consider​ unusual? Explain your reasoning. The values x=6 and x=__ would be unusual because their probabilities are ___ 0.05

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Asked Oct 18, 2019
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36% of working mothers do not have enough money to cover their health insurance deductibles. You randomly select six working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable represents the number of working mothers who do not have enough money to cover their health insurance deductibles. Complete parts​ (a) through​ (c) below.
 
​(a) Construct a binomial distribution using n=6 and p=0.36. 
 
X P(X)
0  
1  
2  
3  
4  
5  
6  
 
​(b) Graph the binomial distribution using a histogram and describe its shape.
 
Describe the shape of the histogram 
 
(c) What values of the random variables would you consider​ unusual? Explain your reasoning.
 
The values x=6 and x=__ would be unusual because their probabilities are ___ 0.05
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Expert Answer

Step 1

Given that:

Sample size (n) = 8

Probability (P) = 0.36

a.

Let x is random variable.

The formula of the binomial distribution is:

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Step 2

They require probability to construct a binomial distribution is calculated as follows:

For x = 0,

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Step 3

Similarly, calculate the probabi...

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