Asales analyst listed the probabilities of profits and losses in dollars for a certain company. find the mean for the probability distribution.

The answer is 69.25

Step-by-step explanation:

The mean for the probability distribution will be 69.25.

Explanation:

Since we given that

As we know the formula for expectation of x i.e. known as mean for the probability distribution,

So, we  apply this formula in our case,

Hence, the mean for the probability distribution will be 69.25.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752