Determine the required value of the missing probability to make the distribution a discrete probability distribution. x P(x) 3 0.170.17 4 ? 5 0.350.35 6 0.270.27 P(4) = nothing (Type an integer or a decimal.)

The probability of X = 4 is 0.21.

Step-by-step explanation:

The discrete probability distribution of the random variable X is:

   x:   3   |  4     |   5    |   6

P (x): 0.17 | ___ | 0.35 | 0.27

The properties of a probability distribution are:

All the probability value are more than 0 and less than 1.

Compute the probability for X = 4 as follows:

Thus, the probability of X = 4 is 0.21.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.