An item is regularly priced at $99. Jim bought it on sale for 85% off the regular price.

A sequence of Bernoulli trials consists of choosing components at random from a batch of components. A selected component is eit

Drupady [299]

Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial distribution.

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.

The probability that a selected component is non-defective is 0.8

This means that $p = 0.8$

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

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

$P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287$

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

$p = (0.8)^8*0.2 = 0.0336$

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

4 0

3 years ago

the price of the cup of coffee has dropped to 2.50 today. yesterday's price was 2.75. find the decrease percentage and round to

kiruha [24]

2.75/100=0.25/d
d=(100*0.25)/2.75
d=0.9

5 0

3 years ago

Solve on the interval [0,2pi) 3cscx-1=2

aliya0001 [1]

Answer:

on APEX its d) pi/2

3 0

3 years ago

What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.

Kisachek [45]

<span>This is a quadratic equation . We order to equate to zero

</span>2x²<span> – 7 = 9
</span>
2x² - 7-9 = 0
2x² - 16 = 0

This equation is a binomial
2* (x² - 8) = 0
<span>We choose the simplest method . The equation with practice it can be calculated in the memory
</span><span>
The product is equal to 0 if one of the factors is zero
</span>
2≠0 ∨ x² - 8 = 0
x² = √8
x = √8 ∨ x= - √8

Answer : x = √8 ∨ x = -√8

5 0

3 years ago

Read 2 more answers

A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data

PilotLPTM [1.2K]

The probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a boot camp class is 0.009.

<h3>What is the probability?</h3>

Probability refers to a possibility that deals with the occurrence of random events.

The marketing team has gathered data from a random month, in which there were 2039 class attendees.

The probability that a class attendee is a non-member of the gym and is attending a barre class

= 185/2039

= 0.09

The probability that a class attendee is a member of the gym and is attending a boot camp class

= 204/2039

= 0.10004

The probability for both the event would be

= 0.09 x 0.10004

= 0.009

Learn more about probability here;

brainly.com/question/11234923

#SPJ1

8 0

2 years ago