Question

 For each binomial experiment below, tell if the Empirical Rule applies. If the rule does apply, illustrate it by filling in the blanks below. (Special weighting) 

a.) A person spins a 1-2 spinner 10 times and counts the number of times it lands 1 

b.) A person spins a 1-2 spinner 50 times and counts the number of times it lands 2. 

Answer 1

$25\pm 2\times 3.54$ 5. a) Rule does not apply as the sample size is less than 30

b) n = 50

p = 0.5

q= 0.5

Mean np = 50x0.5 = 25

Standard deviation $\sqrt{npq}$
= $\sqrt{50\times 0.5\times 0.5}$

= 3.54

a) $25\pm 3.54$? = 21.46 and 28.54

68% of the data is between 21 and 29

b) $25\pm 2\times 3.54$ ? = 17.92 and 32.08

95% of the data is between 18 and 32

c) $25\pm 3\times 3.54$ = 14.38 and 35.62

99.7% of the data is between 14 and 36