None of the above.

Question number 14.
Consider the following Binomial Experiment: 290 people have been exposed to the flu. If the probability that a person contracting the flu on exposure is 0.43 , find the variance of these 290 people contracting the flu.
0.2451
165.3000
53.6210
384.4186
71.0790
None of the above.

Submit

Step 1 ：Given that 290 people have been exposed to the flu, and the probability that a person contracts the flu on exposure is 0.43.

Step 2 ：We are asked to find the variance of these 290 people contracting the flu.

Step 3 ：The variance of a binomial distribution is given by the formula \(npq\), where \(n\) is the number of trials, \(p\) is the probability of success, and \(q\) is the probability of failure (\(1-p\)).

Step 4 ：In this case, \(n=290\), \(p=0.43\), and \(q=1-0.43=0.57\).

Step 5 ：So we need to calculate \(290*0.43*0.57\).

Step 6 ：By calculating, we get the variance as \(71.0790\).

Step 7 ：So, the variance of these 290 people contracting the flu is \(\boxed{71.0790}\).