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tatiyna
2 years ago
8

The manager of an industrial plant is planning to buy a new machine. For each day’s operation, the number of repairs X, that the

machine needs is a Poisson random variable with mean 0.96 repairs per day. The daily cost of operating the machine is C = 160 + 40X2 . Find the expected value of the daily cost of operating the machine.
Mathematics
1 answer:
horsena [70]2 years ago
5 0

Answer:  Expected value of the daily cost of operating the machine is 235.264.

Step-by-step explanation:

Since we have given that

E[x]= 0.96 repairs per day

And Var[x] = 0.96 repairs per day.

C=160+40x^2

E[c]=160+40E[x^2]\\\\E[c]=160+40(Var[x]+(E[x])^2)\\\\E[c]=160+40(0.96+0.96^2)\\\\E[c]=235.264

Hence, Expected value of the daily cost of operating the machine is 235.264.

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A random sample of 25 roundtrip flights between Philadelphia and Dallas has an average airfare of $393.50 with a sample standard
Sauron [17]

Answer:

$393.50+/-$19.72

= ( $373.78, $413.22)

Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $393.50

Standard deviation r = $50.30

Number of samples n = 25

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

$393.50+/-1.96($50.30/√25)

$393.50+/-1.96($10.06)

$393.50+/-$19.7176

$393.50+/-$19.72

= ( $373.78, $413.22)

Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)

5 0
2 years ago
Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared t
GuDViN [60]

Answer:

There is a 45.05% probability that the selected person is a right-handed female.

Step-by-step explanation:

We have these following probabilities

A 50% probability that a person is a male

A 50% probability that a person is a female.

A 12.6% probability that a male is left-handed.

A 9.9% probability that a female is left-handed.

If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:

50% are female.

9.9% of the females are left-handed, so 100-9.9 = 90.1% of the females are right handed.

So

P = 0.5*0.901 = 0.4505

There is a 45.05% probability that the selected person is a right-handed female.

3 0
2 years ago
There are 6 blades on each windmill how many total blades are on 7 vwindmills? use fives facts to solves
aliina [53]
6 times 7 = 42      hope helped

8 0
2 years ago
A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that
tigry1 [53]
A) The top and bottom are parallel.B)The top and right side form a right angle.D)The left side and right side are parallel.E)The left side and bottom form a right angle.
Are correct just took the assignment and got it right.
5 0
2 years ago
Read 2 more answers
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How ma
e-lub [12.9K]
48 grams= 96% needed

x grams. = 4%

Set up a proportion

48/96 = x/4

96/24=4
48/24=2
x=2= grams in the granola

Add the value of 96% and the value of 4% to get the value of 100%

2+48=50

Final answer: 50 grams
7 0
2 years ago
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