Answer:
12.81%
Step-by-step explanation:
2600-5500=20500
20500/16=1281.25
1281.25/100= 12.8125
rounded 12.81%
Answer:
Probability distribution
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
Step-by-step explanation:
When a coin is tossed there are two outcomes head and tail. When three coins are tossed the possible outcomes are
Sample space=S={HTH,THH,TTH,HHH,HTT,THT,TTT,HHT}
The total number of outcomes is n(S)=8. The X be the random variable counting number of tails in each outcome and so X can take values as 0,1,2,3. The probabilities can be computed as P(X)=n(X)/n(S). The probabilities are calculated as under:
X Outcomes P(X)
0 HHH 1/8
1 HHT,THH,HTH 3/8
2 TTH,HTT,THT 3/8
3 TTT 1/8
The probability distribution of X is as under:
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
Answer:
X = 1.6
Step-by-step explanation:
Divide 7 on both sides:
7x = 11.2
x = 1.6
X, therefore, is 1.6.
<em>Hope this helps!!</em>
<em>- Kay :)</em>
Answer:
0.99804932311
Step-by-step explanation:
We solve this using binomial probability
Binomial probability formula
= nCx × p^x × q^n - x
= n!/(n - x)! x!
Where n = Number of trials = 25 samples
x = Number of successes = 23
p = probability of success = 99% = 0.99
q = probability of failure = 1 - p
= 1 - 0.99
= 0.01
Hence,
p(at least 23 are properly filled) = p(X ≥ x)
= [25!/(25 - 23)! × 23! × 0.99^23 × 0.01^25 - 23 ]+ [25!/(25 - 24)! × 24! × 0.99^24 × 0.01^25 - 24 ]+ [25!/(25 - 25)! × 23! × 0.99^25 × 0.01^25 - 25]
= [300 × 0.99 ^23 × 0.01^2] + [25 × 0.99^24 × 0.01^1] + [1 × 0.99^25 + 0.01^0]
= 0.0238084285 + 0.1964195352 + 0.7778213594
= 0.99804932311
Answer:
115ft and 135 ft
Step-by-step explanation:
L - length
W - width
If width is x ft, then length is (x+20)
Put all in perimeter formula
500= 2 times ((x+20)+x)
500= 2 times (x+20)+x)
500=2 times (2x+20)
500=4x+40
4x=500-40
4x=460
x=460/4
So width is 115 ft, then length is 115+20=135 ft
