it has been reported that 63 of adults aged 65 and over got

it has been reported that 63% of adults aged 65 and over got their flu shots last year. In a random sample of 300 adults aged 65 and over, firn the mean, variance and standard variation for the number who got flu shots

Solution

It has been reported that 63% of adults aged 65 and over got their flu shots last year. In a random sample of 300 adults aged 65 and over, find the mean, variance, and standard deviation for the number who got their flu shots.

Binomial distribution used.

n=300

p=0.63

Mean = Expectation = np = 189

Variance = np(1 - p)

= 300*0.63*0.37

= 69.93

Standard deviation = sqrt( 69.93) = 8.3624