(4)

Step 1:

The total number of students in a class is 30.

The number of days in a general year is 365 days.

The probability of the student born on the 4th July is $\"\"$ .

Find the mean.

Here number of samples $\"\"$ .

Probability of the student born on the 4th July is $\"\"$ .

Since it follows the binomial distribution,

Mean $\"\"$ .

Where n is number of samples.

p is probability of success.

$\"\"$

Step 2:

Find the standard deviation.

Standard deviation $\"\"$ .

Where n is number of samples.

p is probability of success.

q is probability of failure.

Probability of failure is $\"\"$

$\"\"$

Solution :

Mean is $\"\"$ .

Standard deviation is $\"\"$ .