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
To know more about Probability, Visit:
brainly.com/question/11234923
#SPJ4
Answer:
-4 points
Step-by-step explanation:
Since each incorrect answer is worth the same amount of negative points, use the equation below.
3x = -12 DIvide both sides by 3
x = -4 points
A sperm cell differs, as it only contains half of the 46 chromosomes a human cell usually has.
80<2x (x = # of pens)
/2 /2
40<x
39 pens at most
Answer:
3 bars
Step-by-step explanation:
Total no. of gold bars = 24.
Fraction of bar captain allocated to himself = 1/3 of the bars
no. of bars he allocated to himself = 1/3 of 24 = 1/3 * 24 = 8
Fraction of bar captain allocated to his friend bill = 1/4 of the bars
no. of bars he allocated to his friend bill = 1/4 of 24 = 1/4 * 24 = 6
No . of bars captain allocated to rest of crew = 7
Total no of bars which are allocated altogether =
no. of bars he allocated to himself +no. of bars he allocated to his friend bill +No . of bars captain allocated to rest of crew
substituting the value of above summation variable as calculated above we have
Total no of bars which are allocated altogether = 8+6+7 = 21
No. of bars left = total no. of bars - Total no of bars which are allocated altogether = 24 - 21 = 3
Thus 3 gold bars are left.
