Urgent Helppp please

find the expectation e(x) and variance var(x) for the task
suppose you choose a real number x from the interval [2, 10] with a density function of the form f(x) = c/x , where c is a constant

P(X = 0) = 1

16 , P(X = 1) = 4

16 , P(X = 2) = 6

16 , P(X = 3) = 4

16 , P(X = 4) = 1

16 (1)

Notice that the denominators of the five fractions are the same and the numerators of the five

fractions are 1, 4, 6, 4, 1. The numbers in the numerators is a set of binomial coefficients.

1

16 =

4

0

1

16, 4

16 =

4

1

1

16, 6

16 =

4

2

1

16, 4

16 =

4

3

1

16, 1

16 =

4

4

1

16

We can then write the probability mass function as

Date: November 1, 2005.

1

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.