Find the values for a, b, and c that complete the simplification.

It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry a

Sphinxa [80]

Answer:

(a) P(B) = 0.008, (b) P(A∩B) = 0, (c) Yes, A and B are mutually exclusive events, (d) P(A∪B)=0.948, (e) 0.948, (f) 0.06

Step-by-step explanation:

We have three different posibilities

A: fill to specification

B: underfill

C: overfill

in probability the sum of the different events which are mutually exclusive should sum to 1, so, we should have

(a) P(B) = 1 - P(A)-P(C) = 1-0.940-0.052=0.008

(b) P(A∩B)=probability that the machine fill to specification and underfill = 0 because a machine can't fill to specification and underfill at the same time

(c) Yes, A and B are mutually exclusive events, because a machine can't fill to specification and underfill at the same time

(d) Because A and B are mutually exclusive events we should have that

P(A∪B)=P(A)+P(B)=0.940+0.008=0.948

(e) The probability that the machine does not overfill is the same that the probability that the machine fill to specification plus the probability that the machine underfill, i.e, the probability that the machine does not overfill is P(A)+P(B)=0.948, because does not overfill is equivalent either to fill to specification or to underfill.

(f) The probability that the machine either overfill or underfills is

P(C∪B)=P(C)+P(B)=0.052+0.008=0.06 because C and B are mutually exclusive events.

5 0

1 year ago

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

S_A_V [24]

Answer:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

$X \sim N(123.8,3.1)$

Where $\mu=123.8$ and $\sigma=3.1$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

6 0

2 years ago

A movie streaming website charges an initial fee of $50, plus $5 for each movie that is streamed. How many movies must be stream

alukav5142 [94]

The average cost of streaming N movies will be
.. average cost = (total cost)/(number of movies)
.. = (50 +5N)/N
.. = (50/N) +5

You want this value to be 7, so you have
.. 7 = (50/N) +5
.. 2 = 50/N
.. N = 50/2 = 25

25 movies must be streamed to get the average cost down to $7.

4 0

1 year ago

$0.60 bottle of iced tea marked up to $1.35

Masja [62]

The answer is 0.81 since you have to (x) 0.60x 1.35=0.81 Than you divide 0.81÷0.60

6 0

1 year ago

Read 2 more answers

Chase tried to solve an equation step by step. \qquad\begin{aligned} \dfrac13(g-3)&=3\\\\ \\ g-3&=9&\green{\text{Ste

Sonbull [250]

Answer:cant really help with that because the question is messed up sorry

Step-by-step explanation: