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3 years ago

Statistics when mode is best measure of central tendency.

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

Answer:

The mode is the least used of the measures of central tendency

Step-by-step explanation:

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Suppose that the times required for a cable company to fix cable problems in its customers’ homes are uniformly distributed betw

vampirchik [111]

Answer:

a) 60% probability that a randomly selected cable repair visit will take at least 50 minutes

b) 60% probability that a randomly selected cable repair visit will take at most 55 minutes.

c) The expected length of the repair visit is 52.5 minutes.

d) The standard deviation is 7.22 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

For this problem, we have that:

Uniformly distributed between 40 and 65 minutes, so $a = 40, b = 65$

(a) What is the probability that a randomly selected cable repair visit will take at least 50 minutes?

Either it takes less than 50 minutes, or it takes at least 50 minutes. The sum of the probabilities of these events is decimal 1. So

$P(X < 50) + P(X \geq 50) = 1$

The intervals can be open or closed, so

$P(X < 50) = P(X \leq 50)$

We have that

$P(X \geq 50) = 1 - P(X < 50)$

$P(X < x) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X \geq 50) = 1 - P(X < 50) = 1 - 0.4 = 0.6$

60% probability that a randomly selected cable repair visit will take at least 50 minutes

(b) What is the probability that a randomly selected cable repair visit will take at most 55 minutes?

This is $P(X \leq 55)$

$P(X \leq 55) = \frac{55 - 40}{65 - 40} = 0.6$

60% probability that a randomly selected cable repair visit will take at most 55 minutes.

(c) What is the expected length of the repair visit?

The mean of the uniform distribution is:

$M = \frac{a+b}{2}$

$M = \frac{40+65}{2} = 52.5$

The expected length of the repair visit is 52.5 minutes.

(d) What is the standard deviation?

The standard deviation of the uniform distribution is

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

$S = \sqrt{\frac{(65-40)^{2}}{12}}$

$S = 7.22$

The standard deviation is 7.22 minutes.

5 0

3 years ago

Use graph to help you answer questions 6-10. Each unit on the graph represents 0.75 miles. Round answers to the nearest tenth wh

givi [52]

Answer:

6. 11.25 miles

7. The Mall; 1.13

8. No, because a one-way there is 17.3 miles.

9. 6.37 miles

10. No, it is 7.77 miles away from his home.

Step-by-step explanation:

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4 years ago

Vicky is solving an equation where both sides are linear expressions. If the y-intercepts of the graphs are the same but the slo

Minchanka [31]

If the y-intercepts are the same, then the two linear have the same y-intercept as a solution. That is one common solution for both expressions. The two expressions intersect at that point. Since the slopes are different, there are no more common solutions since if two different lines intersect, they intersect at exactly one point and no more.

Answer: 1 intersection

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4 years ago

Read 2 more answers

Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than ten hours of video games

forsale [732]

5 1/2 of 3 = 16.5

hope this helped!!

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3 years ago

Peyton knows that 18 means “1 divided by 8.” She uses this to find the decimal equivalent for 18. Enter a digit into each box to

IceJOKER [234]

Answer:

Down Here ↓↓↓↓↓↓↓

Step-by-step explanation:

1/8 = 1 ÷ 8

It might be weird with the formatting but here:

0. 1 2 5

____________

8 | 1. 0 0 0

− 0

____________

1 0

− 8

____________

2 0

− 1 6

___________

4 0

− 4 0

___________

-Chetan K

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3 years ago