Texts: 4 questions circled. Any help is greatly appreciated.
32) Find the amount of a continuous money flow in which $2000 per year is being invested at 5%, compounded continuously for 20 years.
A) $68,731.27
B) $343,656.37
C) $108,731.27
D) $148,731.27
33) Determine whether the improper integral is convergent or divergent.
33) B
34) ∫f(x)e^(-x^2)dx
8 34) X
8
A) Convergent
B) Divergent
35) Determine whether the function is a probability density function over the given interval.
35)
A) No
B) Yes
36) For the given probability density function, over the given interval, find the mean, the variance, and the standard deviation.
36) f(x) = 1, [12,20]
A) μ = 15.5; σ^2 = 5.20; σ = 2.28
B) μ = 16; σ^2 = 5.33; σ = 2.31
C) μ = 15; σ^2 = 5.34; σ = 2.31
D) μ = 1.6; σ^2 = 5.24; σ = 2.29
37) Let x be a continuous random variable that is normally distributed. Find the requested probability using the given mean and standard deviation.
(37) The mean is μ = 15.2 and the standard deviation is σ = 0.9. Find P(14.3 < x < 16.1)
A) 0.6826
B) 0.3413
C) 0.1587
D) 0.8413
