The value of c such that the function f is a probability density function is 2
<h3>How to determine the value of c?</h3>
The density function is given as:
f(x) = cxe^(−x^2) if x ≥ 0
f(x) = 0 if x < 0.
We start by integrating the function f(x)
∫f(x) = 1
This gives
∫ cxe^(−x^2) = 1
Next, we integrate the function using a graphing calculator.
From the graphing calculator, we have:
c/2 * (0 + 1) = 1
Evaluate the sum
c/2 * 1 = 1
Evaluate the product
c/2 = 1
Multiply both sides of the equation by 2
c = 2
Hence, the value of c such that the function f is a probability density function is 2
Read more about probability density function at
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Answer: 18/40 and 27/60
Step-by-step explanation:
Multiply the numerator and denominator by whatever number it needs to be multiplied by
9*2 to get 18
20*2 to get 40
9*3 to get 27
20*3 to get 60
Answer:
16
Step-by-step explanation:
100/6.25=16
Answer:
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Answer:
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