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Triss [41]
2 years ago
6

I solved this answer already and I got 43, but I don’t know if it’s correct so

Mathematics
1 answer:
faltersainse [42]2 years ago
8 0

Answer:

= 43

Step-by-step explanation:

{7 × 2^{3} - 7} -2 ×3

Solve the brackets first

{7 × 8 - 7}  -2 ×3

{56 - 7}  -2 ×3

49  -2 ×3

49 -6

= 43

you are right

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A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
Inessa05 [86]

Answer:

(a) P(X \leq 20) = 0.9319

(b) Expected number of defective light bulbs = 15

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

P(X=r) = \binom{n}{r} p^{r} (1-p)^{2} ;x=0,1,2,3,....

where, n = number of samples taken = 150

            r = number of success

           p = probability of success which in our question is % of bulbs that

                  are defective, i.e. 10%

<em>Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.</em>

So, Let X = No. of defective bulbs in a box

<u>Mean of X</u>, \mu = n \times p = 150 \times 0.10 = 15

<u>Standard deviation of X</u>, \sigma = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.7

So, X ~ N(\mu = 15, \sigma^{2} = 3.7^{2})

Now, the z score probability distribution is given by;

                Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X \leq 20) = P(X < 20.5)  ---- using continuity correction

    P(X < 20.5) = P( \frac{X-\mu}{\sigma} < \frac{20.5-15}{3.7} ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = n \times p = 150 \times 0.10 = 15.

                                           

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3 years ago
Expand the expression 3.5(-3n +4)
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Answer:

Step-by-step explanation:

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= -10.5n + 14

3 0
3 years ago
Find the equation of a line given the point and slope (1,3) m=3
ELEN [110]
Simple....

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plug 'n chug....

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3 years ago
Brainliest answer to the right answer and 30 points!
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------------------------
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