Probability would been equal to 0.9841 if we randomly select 20 bottles it fills.
<h3>What is Probability ?</h3>
The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of the positive results for the experiment with 'n' outcomes can also be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Given,
n = 20
p = 0.05
Thia information gives information about binomial distribution with parameter n = 20 , p = 0.05
Let X be the number of bottles have caps that she not properly applied
X∝ B( n=20 , p= 0.05)
The p.m.f of X is
P( X=0)= (
) ( 0.05)ˣ (1 - 0.05)²⁰ ⁻ˣ
; x = 0 , 1, 2.......20
0 < p < 1
q= 1 - p
= 0 ; otherwise
P {x ≤ 3} = P { X = 0 } + P{ x= 1 } + P { x= 2 } + P { x= 3}
P( X=0)= (
) ( 0.05)⁰ (1 - 0.05)²⁰ ⁻⁰ = 0.3585
P( X = 1)= 0.3774
P( X= 2) = 0.1887
P( X= 3) = 0.0596
= 0.3585+ 0.3774 + 0.1887+ 0.0596
= 0.9841
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Answer:
3.10686
Step-by-step explanation:
Divide the kilometer by 1.609
Answer with explanation:
Consider a Rectangular room, in which four people are residing and another congruent room,in which six people are dwelling.
If Area Occupied by two rooms are same
Then, Area occupied by each person in first room,if there are four person in first room, if represented in terms of fraction is equal to one fourth
.
And, Area occupied by each person in second room,if there are six person in second room, if represented in terms of fraction is equal to one sixth
.
So,→→ Area occupied by each person in which four people are residing>Area occupied by each person in which six people are residing.
→→So,Fraction with a lesser denominator has larger pieces(Larger area) than the fraction with a greater denominator smaller pieces(smaller area).
The value of -(5 - 3)² + (8 - -2) - 3(4 + -1)² is -21
Step-by-step explanation:
Let us revise some notes about the positive and negative numbers
- a - b = + value if a > b
- a - b = - value if a < b
- a + (-b) = a - b
- a - (-b) = a + b
- a(-b) =-a(b) = -ab
Let us evaluate -(5 - 3)² + (8 - -2) - 3(4 + -1)²
∵ 5 - 3 = 2 ⇒ 1st note above
∵ 8 - (-2) = 8 + 2 = 10 ⇒ 4th note above
∵ 4 + (-1) = 4 - 1 = 3 ⇒ 3rd note above
- Substitute them in the expression above
∴ -(5 - 3)² + (8 - -2) - 3(4 + -1)² = -(2)² + (10) - 3(3)²
∵ -(2)² = -(4) = -4 ⇒ 5th note above
∵ -3(3)² = -3(9) = -27
∴ -(2)² + (10) - 3(3)² = -4 + 10 - 27
∵ -4 + 10 - 27 = (-4 + -27) + 10 = -31 + 10 = -21
∴ -(2)² + (10) - 3(3)² = -21
∴ -(5 - 3)² + (8 - -2) - 3(4 + -1)² = -21
The value of -(5 - 3)² + (8 - -2) - 3(4 + -1)² is -21
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