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Svetradugi [14.3K]
4 years ago
8

A quality control inspector has determined that 0.25% of all parts manufactured by a particular machine are defective. If 50 par

ts are randomly selected, find the probability that there will be at most one defective part.
Mathematics
1 answer:
Arlecino [84]4 years ago
4 0

Answer:

9.941*10^-6

Step-by-step explanation:

Probability of at most 1 means not more than 1 defective= probability of 1 or probability of 0

Probability of 1 = 50C1(0.25)(0.75)^49

Probability= 50(0.25)*7.55*10^-7

Probability= 9.375*10^-6

Probability of 0

= 50C0(0.25)^0(0.75)^50

= 1(1)(0.566*10^-6)

= 0.566*10^-6

Total probability

= 9.375*10^-6+ 0.566*10^-6

= 9.941*10^-6

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CONDITIONAL PROBABILITY ASSISTANCE
Mars2501 [29]

Consider such events:

A - selected student is freshmen

B - selected student is girl

A\cap B - selected student is freshman is girl

A|B - choosen girl is freshmen.

Use formula Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}.

From the table you can see that girls that are freshmen are 4 from all 30 people, then Pr(A\cap B)=\dfrac{4}{30}. There are 18 girls, then Pr(B)=\dfrac{18}{30}. Substitute into the formula:

Pr(A|B)=\dfrac{\frac{4}{30} }{\frac{18}{30} }=\dfrac{4}{18} =\dfrac{2}{9}.

Answer: Pr(A|B)=\dfrac{2}{9}.

4 0
4 years ago
Using the distributive property simplify the expression <br> -3(x - 2) + 4
S_A_V [24]

Answer:

-3x+10

Step-by-step explanation:

-3(x - 2) + 4

Using the distributive property:

-3*x-3*(-2)+4

we have:

-3x+6+4

-3x+10

8 0
3 years ago
Read 2 more answers
Please help.
Charra [1.4K]

Answer:

Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:

Since the length of the hypotenuse is twice as long as the shorter leg, we have:

The length of the short leg is: 25/2 = 12.5

Since the length of the longer leg is equal to the length of the shorter leg

multiply by square root of 3 we have:

The length of the longer leg is: 12.5 × √3 ≈21.65

=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15

6 0
3 years ago
Read 2 more answers
a painter bought 8 gallons of paint just enough to cover 2 rooms. One room is twice the size of the other and requires only 2 co
e-lub [12.9K]
So, he's got 8 gallons of paint, to paint the two rooms, of the two rooms, one is twice as big as the other

now, "x" is how many gallons to paint the larger room with only one coat, however, the larger room uses 2 coats, so, the larger room uses 2x of paint
now, the client declined to paint the smaller one

so hmmm as I read... well, we dunno how many coats will go to the smaller room for one, we know the larger will use 2 coats, or 2x.. if we assume the smaller room was going to use say 1 coat or 1/2x

then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one

so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons

thus, with those assumptions, that the small room will use only 1 coat
\bf \cfrac{1}{2}x+2x=8\implies \cfrac{5x}{2}=8\implies x=\cfrac{16}{5}
that's who many gallons are needed for 1 coat in the larger roomrecall "x" is 1coat for the larger room

now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then

\bf 2x\implies 2\cdot \cfrac{16}{5}\implies \cfrac{32}{5}\implies 6.4\ gallons

he bought 8 gallons, 8 - 6.4, he's got left 1.6 gallons
3 0
3 years ago
Read 2 more answers
What is 32.5% as a fraction and decimal
m_a_m_a [10]
Decimal: 32.5 
Fraction 65/2
5 0
4 years ago
Read 2 more answers
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