3.1-3. Customers arrive randomly at a bank teller's window. Given that one customer arrived during a particular ten-minute period, let X equal the time within the ten minutes that the customer arrived. If X is U(0, 10), find a. The pdf of X. b. P(X ≥ 8). c. P(2 < X <8). d. E(X). e. Var(X).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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hello I am struggling with this problem and can you please help me because I don’t know what to do can you do this problem and can you do this step by step and can you label the parts as well, thank you so much

3.1-3. Customers arrive randomly at a bank teller's window. Given that one customer
arrived during a particular ten-minute period, let X equal the time within the ten
minutes that the customer arrived. If X is U(0, 10), find
a. The pdf of X.
b. P(X ≥ 8).
c. P(2 < X < 8).
d. E(X).
e. Var(X).
Transcribed Image Text:3.1-3. Customers arrive randomly at a bank teller's window. Given that one customer arrived during a particular ten-minute period, let X equal the time within the ten minutes that the customer arrived. If X is U(0, 10), find a. The pdf of X. b. P(X ≥ 8). c. P(2 < X < 8). d. E(X). e. Var(X).
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