Unit Test
Active
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TIME REMAINING
01:10:13
The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability
distribution below. What is the probability that a worker chosen at random works at least 8 hours?

Explanation:

Please, find attached a figure with the complete question, including the probability distribution.

The graph does not permit to read exact values, thus you must estimate.

P(X ≥ 8) = P(X=8) + P(X=9) + P(X=10)

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