Provide an appropriate response.The standard normal probability density function is defined by f(x) = 
e-x2/2. (a) Show that 
dx = 
.(b) Use the result in part (a) to show that the standard normal probability density function has mean 0.
What will be an ideal response?
(a) 
dx = 
dx = 
= 
.
(b) Since y = 
x e-x2/2 is an odd function, 
dx = - 
dx = - 
. The mean of the distribution is equal to 
dx = 
dx + 
dx = 
+ 
= 0.
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Provide an appropriate response.A company performed a marketing study and concluded that there is a potential of 100,000 customers for its product. At the beginning of the study there were 40,000 customers that used the product, and one year later there were 50,000 customers. Determine the number N of customers t years after the beginning of the study if N follows logistic growth.
What will be an ideal response?
Perform the calculation. Express the answer in degree-minutes-seconds format.214°33' + 57°44'
A. 272°77' B. 18°17' C. 272°17' D. 18°77'
Expand the expression using the Binomial Theorem.(w - s)6
A. w6 - 6w5s + 15w4s2 - 20w3s3 + 15w2s4 - 6ws5 + s6 B. w6 - 6w5s - 30w4s2 + 120w3s3 + 360w2s4 - 720ws5 - 720s6 C. w6 - s6 D. w6 - 8w5s + 17w4s2 - 22w3s3 + 17w2s4 - 8ws5 + s6
Solve the problem.The graph shows the relationship between current I and resistance R if the voltage is fixed. Find the current if the resistance is 1.0 ?.
A. 3.6 A B. 3.8 A C. 4.0 A D. 4.2 A