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STALIN [3.7K]
3 years ago
11

Question 9 20% of a particular brand of light bulbs fail in one year. What is the probability that three bulbs out of a random c

ollection of 8 bulbs fail in one year
Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

The correct answer is 0.15

Step-by-step explanation:

According to the given scenario, the probability is as follows:

X\sim Bin (n,p)

Here

n = 8

p = 0.20 or 20%

Now this is a binomial probability distribution

P(X) = ^nC_x \times p^x \tmes (1 - p)^{n-x}\\\\P(3) = ^8C_3 \tims 0.20^3 \times (1 - 0.20)^5

= 0.15

Hence, the correct answer is 0.15

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Suppose a package delivery company purchased 17 trucks at the same time. Six trucks were purchased from manufacturer A, five fro
yaroslaw [1]

Answer:

df_{den}=df_{between}=N-K=17-3=14.

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have 3 groups (A,B,C) and on each group we have sample of size (6,5,6) respectively , on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

And we have this property  

SST=SS_{between}+SS_{within}  

The degrees of freedom for the numerator on this case is given by df_{num}=df_{within}=k-1=3-1=2 where k =3 represent the number of groups.

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=17-3=14.

And the total degrees of freedom would be df=N-1=17 -1 =16

On this case the correct answer would be 2 for the numerator and 14 for the denominator.  

Best answer

14

4 0
3 years ago
The area of the photo will be half the area of the entire ad. What is the value of x
Ksenya-84 [330]

Answer:

Need more information

Step-by-step explanation:

8 0
3 years ago
Given f(x) = 4x + 3 and f(x) = 27, what is x?
Airida [17]

Step-by-step explanation:

f(x)=4x+3. f(x)=27

so 27=4x+3

27-3 =4x

24=4x

x=24/4

x=6

5 0
3 years ago
If you get this right I will mark you as a brainliest
lara [203]
Is it D. 58? or B.91?
4 0
3 years ago
A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
grin007 [14]

Answer:

The radius of the pie is 6.17 in.

Step-by-step explanation:

The formula for arc length as a function of radius is

s = r·Ф, where Ф is the central angle in radians.

Here we know that the arc length is 7.85 in.  Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is

2π / 8, or π /4 (radians).

thus, s = r·Ф, solved for r, is r = s/Ф

and in this instance r = (7.85 in)/(π/4).  Evaluating this, we get:

                                 r = 6.17 in

The radius of the pie is 6.17 in.

8 0
3 years ago
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