Marketing estimates that a new instrument for the analysis of soil samples will be very successful, moderately successful, or unsuccessful with probabilities 0.3, 0.6, and 0.1, respectively. the yearly revenue associated with a very successful, moderately successful, or unsuccessful product is $10 million, $5 million, and $1 million, respectively. let the random variable x denote the yearly revenue of the product. determine the probability mass function of x.

X (millions)   1        5         10  

     P(x)        0,1      0,6     0,3

Step-by-step explanation:

In this case, the probability mass function of X is the function that relates the money produced for the product with the probability of obtain this profit of the product.

The mass function will be:

X (millions)   1        5         10  

     P(x)        0,1      0,6     0,3

This is a probability mass function  because the sum of the probabilities of each value is 1.  0.1+0.6+0.3=1

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14