Probability of finding no defective bulb
=95/100*94/99....86/91
=95!/(85!) / (100!/90!)
= 110983/190120
=>
Probability of finding at least one defective bulb
=1-110983/190120
= 79137/190120
= 0.41625 (to 5 decimal places)
Answer:
C. 0.403
Step-by-step explanation:
Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.
We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?
The binomial probability distribution function for random variable X is
where q=1-p=1-0.6=0.4,n=15 and p=0.6.
P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)
=0.185938
=0.126776
=0.063388
=0.021942
=0.004702
=0.000470
P(X≥10)= 0.185938
+0.126776
+0.063388
+0.021942
+0.004702
+0.000470
P(X≥10)=0.403216
So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.
Answer:
Choose the 8th row of Pascal's triangle to get the sequence:
1
,
7
,
21
,
35
,
35
,
21
,
7
,
1
Write the powers of
2
in ascending order up to
2
7
as a sequence:
1
,
2
,
4
,
8
,
16
,
32
,
64
,
128
Multiply the two sequences together to get:
1
,
14
,
84
,
280
,
560
,
672
,
448
,
128
Then:
(
x
+
2
y
)
7
=
x
7
+
14
x
6
y
+
84
x
5
y
2
+
280
x
4
y
3
+
560
x
3
y
4
+
672
x
2
y
5
+
448
x
y
6
+
128
y
7
Answer:
biased
Step-by-step explanation:
even with the computer randomly picking people, they are still all on the mailing list.
Answer:
D: Subtract 3 from both sides
Step-by-step explanation:
5x + 3 = 13
- 3 - 3
------------------
5x = 10
--- ----
5 5
x = 2