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: 9 m + 7 n - 6 mn + 4 m
Step-by-step explanation:
m + 3 n + 6 mn - 4 .... for this expression , it is already in its simplified form as we can not add any term together because they are not have the same variables.
9 m + 7 n - 6 mn + 4 ..... this also is already simplified
7 m - 9 n - 6 mn + 4 ..... the same thing with this
9 m + 7 n - 6 mn + 4 m .... this particular can still be further simplified because we have 9m and 4m having the same variable and we can therefore add them together , the simplified form of the expression will be
13m + 7n - 6mn
4232 divided by 18 equals 235.1
All you have to do is figure out the bases of the figure and use the 12 and 13 in your problems and you should be able to get the right answer.
