A Stat 510 student works at the IT Help Desk at Hale Library. She works there Tuesdays and Thursdays 6 pm - 10 pm and on Sunday 1 pm - 5 pm. On average, she receives 2.4 walk-ins per shift on Tuesdays and Thursdays and 3.2 walk-ins on Sundays. Assume walk-in arrivals occur randomly at a constant rate, and different periods of time are independent. Assume that the proportion of walk-in problems that have a quick solution follows a Beta distribution. 1 Let r.v. X = the time in hours until her first walk-in on a Tuesday shift. What is the distribution of X? Hint: How many hours are in a shift? a. X ~ Exp(0.6) b. X ~ Еxp(2.4) O c.X ~ Gamma(4, 2.4) d. X~ Gamma(1, 2.4) e. X ~ Gamma(4,0.6) O EX ~ Gamma(1,0.6) g. None of the above. FORMULA, What is the probability that she will wait more than 3.0 hours for the first customer of a Sunday shift? (Use four digits after the decimal point, e.g., 0.1234) Type your answer. O O O OO
A Stat 510 student works at the IT Help Desk at Hale Library. She works there Tuesdays and Thursdays 6 pm - 10 pm and on Sunday 1 pm - 5 pm. On average, she receives 2.4 walk-ins per shift on Tuesdays and Thursdays and 3.2 walk-ins on Sundays. Assume walk-in arrivals occur randomly at a constant rate, and different periods of time are independent. Assume that the proportion of walk-in problems that have a quick solution follows a Beta distribution. 1 Let r.v. X = the time in hours until her first walk-in on a Tuesday shift. What is the distribution of X? Hint: How many hours are in a shift? a. X ~ Exp(0.6) b. X ~ Еxp(2.4) O c.X ~ Gamma(4, 2.4) d. X~ Gamma(1, 2.4) e. X ~ Gamma(4,0.6) O EX ~ Gamma(1,0.6) g. None of the above. FORMULA, What is the probability that she will wait more than 3.0 hours for the first customer of a Sunday shift? (Use four digits after the decimal point, e.g., 0.1234) Type your answer. O O O OO
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Related questions
Question

Transcribed Image Text:A Stat 510 student works at the IT Help Desk at Hale Library. She works there Tuesdays and Thursdays 6 pm - 10 pm and on Sunday 1 pm - 5 pm.
On average, she receives 2.4 walk-ins per shift on Tuesdays and Thursdays and 3.2 walk-ins on Sundays.
Assume walk-in arrivals occur randomly at a constant rate, and different periods of time are independent.
Assume that the proportion of walk-in problems that have a quick solution follows a Beta distribution.
1
Let rv. X = the time in hours until her fırst walk-in on a Tuesday shift. What is the distribution of X?
Hint: How many hours are in a shift?
a. X ~
Exp(0.6)
b. Х
Exp(2.4)
c.X~ Gamma(4, 2.4)
d. X~ Gamma(1, 2.4)
e. X ~ Gamma(4,0.6)
f.X ~ Gamma(1,0.6)
g. None of the above.
FORMULA. What is the probability that she will wait more than 3.0 hours for the first customer of a Sunday shift? (Use four digits after the
decimal point, e.g., 0.1234)
Type your answer.
O O
O O O0O
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