A civil engineer is studying a left-turn lane that is long enough to hold seven cars. Let X be the number of cars in the line at
the end of a randomly chosen red light. The engineer believes that the probability that X = x is proportional to (x + 1)(8 − x) for x = 0, . . . , 7 (the possible values of X), i.e. P(X = x) = ( C(x + 1)(8 − x) for x = 0, 1, . . . , 7 0 otherwise 1. Determine the value of C. 2. Find the probability that X will be at least 5.
2 answers:
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Answer:
We can not improve CPI of FP instructions when we run the program two times faster because it would be negative.
Explanation:
Processor clock rate = 2 GHz
Execution Time = ∑
Clock cycles can be determined using following formula
Clock cycles = ( x No. FP instructions )+ (
x No. INT instructions) + (
x No. L/S instructions ) + (
x No. branch instructions)
Clock cycles = ( 50 x x 1) + ( 110 x
x 1) + ( 80 x
x 4) + ( 16 x
x 2)
Clock cycles = 512 x 10⁶
So,Initial Execution time for FP instructions is,
=
Initial execution Time = 256 x 10⁻³
For 16 processors ,
clock cycle = 512 x 10⁶
Execution Time = 256 x 10⁻³
To run the program two times faster, half the number of clock cycles
( )= (
x No. FP instructions )+ (
x No. INT instructions) + (
x No. L/S instructions ) + (
x No. branch instructions)
x No. FP instructions = (
) -[ (
x No. INT instructions) + (
x No. L/S instructions ) + (
x No. branch instructions)]
x 50 x
= (
) - [ ( 110 x
x 1) + ( 80 x
x 4) + ( 16 x
x 2)]
x 50 x
= - 206 x
= - 206 x
/ 50 x
= - 4.12 < 0
By applying the concepts of differential and derivative, the differential for y = (1/x) · sin 2x and evaluated at x = π and dx = 0.25 is equal to 1/2π.
<h3>How to determine the differential of a one-variable function</h3>
Differentials represent the <em>instantaneous</em> change of a variable. As the given function has only one variable, the differential can be found by using <em>ordinary</em> derivatives. It follows:
dy = y'(x) · dx (1)
If we know that y = (1/x) · sin 2x, x = π and dx = 0.25, then the differential to be evaluated is:
By applying the concepts of differential and derivative, the differential for y = (1/x) · sin 2x and evaluated at x = π and dx = 0.25 is equal to 1/2π.
To learn more on differentials: brainly.com/question/24062595
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