Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
Answer: 96
Step-by-step explanation:
Simply multiply the first question by 12 to get 2x+8y=96
<em>Hope it helps <3</em>
Answer:
54 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is
A = 
( s is the side length ) then
= 81
( multiply both sides by 4 to clear the fraction )
s² = 324 ( divide both sides by )
s² = 324 ( take the square root of both sides )
s = 
= 18
Thus
perimeter = 3 × 18 = 54 cm
Answer:
7/3 in decimal form it's 2.3 repeated
Step-by-step explanation:
