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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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. \( P(X \geq 8) \).

c. \( P(2 \leq X < 8) \).

d. \( E(X) \).

e. \( \text{Var}(X) \).
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. \( P(X \geq 8) \). c. \( P(2 \leq X < 8) \). d. \( E(X) \). e. \( \text{Var}(X) \).
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