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kolezko [41]
3 years ago
13

A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fus

es selected at random there will be atleast one defective and not more than one defective.
Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419

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Fiesta28 [93]
6% tax means 6% of $3.50

Convert 6% to decimal (move decimal 2 spots to the left): 6% ⇒ .06

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Lelu [443]

Solution:

we are given that

The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.

we have been asked to find approximately how many times is the moon brighter than Sirius?

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3 0
3 years ago
Joanne was hired by a florist to make large boes for holidays wreaths each roll of ribbon has 20 yards joanne used 3 1/2 rolls o
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Answer: Each bow needs 4.67 yards of ribbon.

Step-by-step explanation:

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She used 3 + 1/2 rolls, then the total length used will be (3 + 1/2) times the length of each roll, this is:

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0.5 bigger than 9/18
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No, 0.5 = 9/18.

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Hope this helped! :)
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