The following table shows the probability distribution of the number of days (x)
ID: 2505869 • Letter: T
Question
The following table shows the probability distribution of the number of days (x) to complete a certain type of construction project by a contractor.x f(x)
1 0.05
2 0.20
3 0.35
4 0.30
5 0.10
3 The probability that it will take less than 3 days to complete a randomly selected project is ______. a 0.60
b 0.45
c 0.35
d 0.25
4 The standard deviation of the days to complete a project is _______. (Rounded to 2 decimal points.) a 1.03
b 1.24
c 1.35
d 1.41
5 The contractor's project cost is made up of a fixed cost of $20,000, plus $2,000 for each day taken to complete the project. Expected value of total project cost is.
a $25,300
b $26,400
c $27,500
d $28,600
6 In the previous question the standard deviation of total project cost is:
a $22,060
b $22,828
c $2,060
d $2,828
7 If you toss a balanced coin 20 times, the probability of getting 10 tails is: f(x = 10) = _______.
a 0.5000
b 0.2461
c 0.1762
d 0.1026
The following table shows the probability distribution of the number of days (x) to complete a certain type of construction project by a contractor.
x f(x)
1 0.05
2 0.20
3 0.35
4 0.30
5 0.10
3 The probability that it will take less than 3 days to complete a randomly selected project is ______. a 0.60
b 0.45
c 0.35
d 0.25
4 The standard deviation of the days to complete a project is _______. (Rounded to 2 decimal points.) a 1.03
b 1.24
c 1.35
d 1.41
5 The contractor's project cost is made up of a fixed cost of $20,000, plus $2,000 for each day taken to complete the project. Expected value of total project cost is.
a $25,300
b $26,400
c $27,500
d $28,600
6 In the previous question the standard deviation of total project cost is:
a $22,060
b $22,828
c $2,060
d $2,828
7 If you toss a balanced coin 20 times, the probability of getting 10 tails is: f(x = 10) = _______.
a 0.5000
b 0.2461
c 0.1762
d 0.1026
Explanation / Answer
3)The probability that it will take less than 3 days to complete a randomly selected project is = P(X=1)+P(X=2)
=0.05+0.2 =0.25
so ans :d
4)The standard deviation of the days to complete a project is = sqrt(pi*(xi-xbar)^2)
substituinfg this we get standard dev =1.03
ans: a, 1.03
5) Expected value of total project cost is. =20000+2000*1*0.05+2000*0.2*2+2000*0.35*3+2000*0.3*4+2000*0.1*5
=$26,400
ans:b
6)standard deviation in above ques =1.03*2000
=2060
ans:c
7)If you toss a balanced coin 20 times, the probability of getting 10 tails is: f(x = 10) =0.5 (as there are equal chance for head and tail) =10/20 =1/2 =0.5
ans:a
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