You place the following shapes in a bag: 5 circles,3 triangles,7 squares,5 rectangles.If you reach in the bag,what is the probab
2 answers:
Answer:
Probability(Circle) =
Probability(Triangle) =
Probability(Squares) =
Probability(Rectangle) =
Step-by-step explanation:
We put the following items in the bag
5 circles
3 triangles
7 squares
5 rectangles
Probability of grabbing a shape = as all the favorable outcome in this case would be all the shapes.
Probability(Circle) =
Probability(Triangle) =
Probability(Squares) =
Probability(Rectangle) =
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Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
For binomial distribute we use formula
the probability mass function of the binomial distribution is:
Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)=
= = 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) = +
+
+
+
+
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) = +
+
+
+
+
+
= 0.8417877 = 0.0842 (rounded to 3 decimal places)