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3 years ago

Please try and solve this

Computers and Technology

1 answer:

Genrish500 [490]3 years ago

4 0

Answer:

Many students coming into Woodworking 108 are bewildered by “all those little marks ... Parts of an inch will be referred to in fraction form instead of its decimal equivalent. ... on divisions of 2: 1” 2= ½”. ½” 2= ¼”. ¼” 2= 1/8”. 1/8” 2= 1/16”. 1/16” 2= 1/32” ... way is to realize there are 16/16 in an inch and count back 3 of the 1/16 ...

Explanation:

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a. 1365 ways

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c. Probability = 0.5904

Explanation:

Given

PCs = 15

Purchase = 3

Solving (a): Ways to select 4 computers out of 15, we make use of Combination formula as follows;

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Hence, there are 1365 ways 

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So;

$p = 3/15$

$p = 0.2$

$q = 1 - p$

$q = 1 - 0.2$

$q = 0.8$

Solving further using binomial;

$(p + q)^n = p^n + ^nC_1p^{n-1}q + ^nC_2p^{n-2}q^2 + .....+q^n$

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$Probability = ^nC_3pq^3$

Substitute 4 for n, 0.2 for p and 0.8 for q

$Probability = ^4C_3 * 0.2 * 0.8^3$

$Probability = \frac{4!}{3!1!} * 0.2 * 0.8^3$

$Probability = 4 * 0.2 * 0.8^3$

$Probability = 0.4096$

Solving (c): Probability that at least one is defective;

In probability, opposite probability sums to 1;

Hence;

Probability that at least one is defective + Probability that at none is defective = 1

Probability that none is defective is calculated as thus;

$Probability = q^n$

Substitute 4 for n and 0.8 for q

$Probability = 0.8^4$

$Probability = 0.4096$

Substitute 0.4096 for Probability that at none is defective

Probability that at least one is defective + 0.4096= 1

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