for morning time:
mean μ = | (a+b)/2 = | 6 |
varaince =σ2= (b-a)2/12 = | 12.0000 |
for evening time"
mean μ = | (a+b)/2 = | 8 |
varaince =σ2= (b-a)2/12 = | 21.3333 |
a) total expected time =5*6+5*8=70
b) variance =5*12+5*21.3333 =166.67
c)
expectd value = -2
variance =12+21.3333=33.33
d)
expectd value =5*6-5*8=-10
variance = 5*12+5*21.3333 =166.67
2. + -/6 points DevoreStat9 5.E.064. My Notes + Ask Your Teacher Suppose your waiting time...
Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 12] Independent of morning waiting time. (a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) (Hint: Define rv's X X and use a rule of expected value.] min (b) What is the variance of...
Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time. (a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's X1, X10 and use a rule of expected value.] min (b) What is the variance of...
Suppose your waiting time for a bus in the morning is uniformly distributed on [0,8], whereas waiting time in the evening is uniformly distributed on [0, 10] independentof morning waiting time.a. If you take the bus each morning and evening for a week, what is your totalexpected waiting time? [Hint: Define rv's ?1, … , ?10 and use a rule of expectedvalue.]b. What is the variance of your total waiting time?c. What are the expected value and variance of the...
Ex. 64Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time.a. If you take the bus each morning and evening for a week, what is your total expected waiting time? [Hint: Define rv's ?1,…,?10 and use a rule of expected value.]b. What is the variance of your total waiting time?c. What are the expected value and variance...
Ex. 64Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time.a. If you take the bus each morning and evening for a week, what is your total expected waiting time? [Hint: Define rv's ?1,…,?10 and use a rule of expected value.]b. What is the variance of your total waiting time?c. What are the expected value and variance...
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