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3 years ago

Write the fraction as a decimal

Mathematics

1 answer:

kramer3 years ago

7 0

I got .04 I'm not sure , but I hope you get it right

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A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute

nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

$P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}$

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

$P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301$

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

$P(k\geq8)=1-P(k$

$P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\$

$P(k$

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

$P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002$

5 0

3 years ago

Suppose you just received a shipment of fifteen televisions. Four of the televisions are defective. If two televisions are rando

emmasim [6.3K]

Answer:

27% chance a tv is defective. 13% chance one at least one doesn't work.

Step-by-step explanation:

100/15

4X6.67=26.67

*NOT 100% JUST TRYING TO HELP*

6 0

3 years ago

9. The total length of the Trans-Canada Highway is 7870 km. About 6% of

nadezda [96]

Answer:

472.2 km

Step-by-step explanation:

5 0

3 years ago

What is in simplest form? A. B. C. D.

alukav5142 [94]

Answer:

C. 8√3

Step-by-step explanation:

* = multiply or times

To find √192 in its simplest form we need to divide it by a square number like 64.

192/64 = 3

√192 = √64 * √3 = 8√3

7 0

2 years ago

Read 2 more answers

GIVING 25 POINTS:

nignag [31]

Answer:

A Sarah earns more money per hour $15

Step-by-step explanation:

We need to find the slope to determine the rate ( amount per hour

Sarah

m = (y2-y1)/(x2-x1)

= (50-5)/(3-0)

= 45/3

= $15 per hour

Mia

m = (y2-y1)/(x2-x1)

= (20-10)/(2-0)

= 10/2

= $5 per hour

6 0

3 years ago

Read 2 more answers