Use the following table to answer the questions.
a) Find the probability that X is at most -50.
b) Find the probability that X is more than -10.
c) Find the probability that X is between (inclusive) -90 and 0.
d) Construct the corresponding pdf.
e) Calculate the variance of X.
x. -100. -80. -40. 0. 10
P(X_<x) 0.35. 0.43. 0.64. 0.87. 1
from given table
a)
P(X<=-50)=P(X=-80)=0.43
b)P(X>-10)=1-PX<= -10)=1-0.87=0.13
c)
P(-90 <=X<=0)=P(X<=0)-P(X<=-100)=0.87-0.35=0.52
d)
below is pmf of X:
x | P(x) |
-100 | 0.35 |
-80 | 0.08 |
-40 | 0.21 |
0 | 0.23 |
10 | 0.13 |
e)
x | P(x) | xP(x) | x2P(x) |
-100 | 0.35 | -35.000 | 3500.000 |
-80 | 0.08 | -6.400 | 512.000 |
-40 | 0.21 | -8.400 | 336.000 |
0 | 0.23 | 0.000 | 0.000 |
10 | 0.13 | 1.300 | 13.000 |
total | -48.500 | 4361.000 | |
E(x) =μ= | ΣxP(x) = | -48.5000 | |
E(x2) = | Σx2P(x) = | 4361.0000 | |
Var(x)=σ2 = | E(x2)-(E(x))2= | 2008.750 |
variance of X =2008.75
Use the following table to answer the questions. a) Find the probability that X is at...
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