The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
Given: The times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 40 minutes and 65 minutes.
It can be deduced that the probability that a randomly selected cable repair visit will take at least 43 minutes will be calculated thus:
= 1 - [(43 - 40)/(65 - 40)
= 1 - 0.12
= 0.88
Hence, The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
A = 18 You need to Multiply both sides of the equation - 3/2 x (-2/3) x a = - 3/2 x - 12 Then simplify both sides a = - 3/2 x 12 Simplify -3/2 x -12 a = -3 x -6 Multiply -3 by -6 Answer: a = 18
