The mean is the average.
Let A = mean
A = (18 + 14 + 9 + 6 + 3)/5
A = 50/5
A = 10
Ellie's mean time is 10 seconds.
Situation satisfies the criteria for the use of hypergeometric distribution. Since no replacement is made, binomial distribution is not applicable (probability does not remain constant).
A=number of target wattage bulbs
B=number of non-targeted wattage bulbs
a=number of target wattage bulbs selected
b=number of non-targeted wattage bulbs selected
P(a,b)=C(A,a)*C(B,b)/C(A+B,a+b)
where C(n,x)=combination of x items chosen from n=n!/(x!(n-x)!)
For all following problems,
A+B=4+5+6=15
a+b=3 (selected)
(a) Target wattage = 75W
A=6, B=9, a=2, b=1
P(a,b,A,B)
=P(2,1,6,9)
=C(6,2)*C(9,1)/C(15,3)
=15*9/455
=27/91
(b) target wattage = each of the three
Probability = sum of probabilities of choosing 3 40,60,75-watt bulbs
P(3x40W)+P(3x60W)+P(3x75W)
Case (A,B,a,b)
3x40W (4,11,3,0)
3x60W (5,10,3,0)
3x75W(6,9,3,0)
P(3x40W)+P(3x60W)+P(3x75W)
=C(4,3)*C(11,0)/C(15,3)+C(5,3)*C(10,0)/C(15,3)+C(6,3)*C(9,0)/C(15,3)
=4*1/455+10*1/455+20*1/455
=34/455
Can also be solved by elementary counting, for example, for (a),
P(2x75W)
=C(3,2)*6/15*5/14*9/13
=(3)*6/15*5/14*9/13
=27/91 as before
Given that each movies is 2.17 hours rounder the answer would be 110.67 hours i don’t know if that’s what you were looking for
Answer:
Kylee's family need at least 2 packages of hot dogs and 5 packages of hot dog buns to have exactly the same number of hot dogs and hot dog buns.
Total expense is $16.76
Step-by-step explanation:
The lowest common multiple of 6 and 15 is 30.
Two packages of hot dogs contain 30 hotdogs.
Five packages of hot dog buns contain 30 hotdog buns.
If one package of hotdog costs $2.98, two packages would cost $2.98 × 2 = $5.96
If one package of hot dog buns costs $2.16, five packages would cost $2.16 × 5 = $10.8
$5.96 + $10.8 = $16.76