3.1-3. Customers arrive randomly at a bank teller's win- dow. 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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Need help with ONLY PARTS (d) and (e) on this Intro to probability and statistics homework problem. Below the homework problem is the answers from the textbook. Make sure your handwriting is neat and readable.

 

3.1-3 (a) f(x)=1/10, 0<x<10; (b) 2/10; (c) 6/10;
(d) μ = 5; (e) o² = 25/3.
Transcribed Image Text:3.1-3 (a) f(x)=1/10, 0<x<10; (b) 2/10; (c) 6/10; (d) μ = 5; (e) o² = 25/3.
3.1-3. Customers arrive randomly at a bank teller's win-
dow. 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 win- dow. 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).
Expert Solution
Step 1

Given Information:

The random variable X follows a uniform distribution.

i.e. X~U(0,10)

Where 0, and 10 are the two boundaries ( a=0, b=10).

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