Answer: 5.000
Step-by-step explanation:
The formula to find the standard deviation for binomial distribution is given by :-
, where p is the probability of getting success in each trial and n is the number of trials.
Given : The probability of flipping a coin and noting Heads is = 0.50
The total number of trials = 100
Then , the standard deviation of Heads to be noted will be :-
Hence, the standard deviation of Heads to be noted = 5.000
The answer to the first one is m<1 = 97°
m<2 = 88°
m<3= 45°
m<4 = 114°
m<5 = 97°
m<6 = 88°
m<7= 114°
m<8=45°
m<10=88°
m<11= 45°
m<13= 88°
m<14= 97°
m<15=97°
m<16= 88°
A short-cut to accurately evaluate the given expression above is using a scientific calculator where one can include integrals and evaluate using limits. In this case, using a calculator, the answer is equal to 0.2679. One can verify this by integrating truly letting 1-x^2 as u and use its du to be substituted in the numerator
