Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
Answer: dividend
Step-by-step explanation:……..
Answer:
27.55ft
Step-by-step explanation:
28²-5²=x
784-25=759
square root of 759=27.55
Not me...........................
The two expressions that are comparable to one another for the total cost of the cloth are and
(7.99 × 7/3) and 18.64
This is further explained below.
<h3>What is
expressions ?</h3>
In most cases, the two expressions that are comparable to one another for the total cost of the cloth are
(7.99 × 7/3) and 18.64
Total cost = Cost of fabric per yard * Number of fabrics
= 7.99 × 2 1/3
= (7.99 × 7/3)
= 55.93 / 3
= 18.64
As a result, the two expressions that are comparable to one another for the total cost of the cloth are and
(7.99 × 7/3) and 18.64
Learn more about total cost:
brainly.com/question/2021001
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