For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of the computer chips it makes are defective.

This means that $p = 0.05$

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025$

0.25% probability that they are both defective

4 0

2 years ago

In the diagram, if WA = 8, AX = 5, and YA = 10, then the length of YZ is

Zinaida [17]

Answer:

Step-by-step explanation:

WA times AX = YA x YZ

8x5=40

because they have to equal each other we just have to divide 40 by 10

40/10=4 so segment YZ=4

5 0

2 years ago

How do you graph 34,-8?

miss Akunina [59]

Answer:

on the x axis you find 34 and go to the y axis and find -8 and then draw your finger until they meet. Wherever they meet is your point.

3 0

2 years ago

two coins and a number cube are tossed at the same time. what is the approximate possibility that the coins show different sides

Stolb23 [73]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
<span>The results are independent:
P(2 heads) = 1/4
P(roll a 4) = 1/6
</span><span>P(2 heads and a 4) = (1/4)(1/6) = 1/24</span>

6 0

2 years ago