Question

1.Given X and n, find p and q. Show your calculation steps.

1.X=56; n=80

2.X=35; n=96

3.X=420; n=1000

4.X=636; n=1200

5.X=1200 n=10000

Answer 1

1.

$$p=\dfrac{x}{n}=\dfrac{56}{80}=\dfrac{7}{10}=0.7$$

$$q=1-p=1-0.7=0.3$$

2.

$$p=\dfrac{x}{n}=\dfrac{35}{96}$$

$$q=1-p=1-\dfrac{35}{96}=\dfrac{61}{96}$$

3.

$$p=\dfrac{x}{n}=\dfrac{420}{1000}=\dfrac{21}{50}=0.42$$

$$q=1-p=1-0.42=0.58$$

4.

$$p=\dfrac{x}{n}=\dfrac{636}{1200}=\dfrac{53}{100}=0.53$$

$$q=1-p=1-0.53=0.47$$

5.

$$p=\dfrac{x}{n}=\dfrac{1200}{10000}=\dfrac{3}{25}=0.12$$

$$q=1-p=1-0.12=0.88$$