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goldenfox [79]
2 years ago
5

The times required for a delivery firm to transport a package from one business address to another in the same metropolitan area

is normally distributed with a mean of 3.8 hours and a standard deviation of 0.8 hours. Suppose the delivery firm wants to determine the time by which 55% of all deliveries would be made. Which of the following density function diagrams best depicts this problem.
What is the probability a single delivery would take more than 4 hours? What is the z value corresponding to the interval boundary?
Mathematics
1 answer:
gladu [14]2 years ago
3 0

Answer:

Step-by-step explanation:

Since; the density function diagrams were not included in the question; we will be unable to determine the  best which depicts this problem.

However;

Let use X to represent the time required for the delivery.

Then X~N(3.8 ,0.8)

i.e

E(x) = 3.8

s.d(x) = 0.8

NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)

= P(Z > 0.25)

= 1-P(Z < 0.25)

=1 - Φ (0.25)

= 1 - 0.5987  ( from Normal table  Φ (0.25) = 0.5987 )

= 0.4013

Thus;  the probability a single delivery would take more than 4 hours is 0.4013

What is the z value corresponding to the interval boundary?

The z value is calculated as:

z = \dfrac{X- \mu}{\sigma}

z = \dfrac{4- 3.8}{0.8}

z = 0.25

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A normal distribution has a mean of 14 and a standard deviation of 4. What percent of values are from 14 to 22?
Ivenika [448]

Answer:

80% of the values will occurs above 68.24.

Step-by-step explain

thinking this is right but im sorry if its wrong

3 0
3 years ago
You flipped a coin 50 times and got 23 heads.What is the experimental probability of getting a head? Write your answer as a frac
lys-0071 [83]

Answer:

23/50, 0.46, and 46%

Step-by-step explanation:


This problem is stating that every fifty times you flip a coin you get 23 heads. Finding the fraction is simple, it would be 23/50 because it is expressing the probability. The problem clearly states that every 50 times you get 23 heads. To find the decimal, take the fraction, 23/50, and multiply the numerator and denominator by 2. you get 46/100 which is 0.46. A percent is just a fraction out of a 100 which would make the percent 46.


8 0
2 years ago
A new shop is being built in town and the design shows that it will be a rectangular prism with 8 meters along the front 12 mete
Kisachek [45]

Volume of space inside shop is 288 m³

<u>Given that;</u>

Dimensions of rectangle = 8 meter , 12 meter , 3 meter

<u>Find:</u>

Volume of space inside shop

<u>Computation:</u>

Volume of rectangle = [l][b][h]

Volume of rectangle = Volume of space inside shop

So,

Volume of space inside shop = [8][12][3]

Volume of space inside shop = [96][3]

Volume of space inside shop = 288 m³

Learn more;

brainly.com/question/15019502?referrer=searchResults

8 0
2 years ago
What are the following expressions that are equivalent to 0.25.
wlad13 [49]

Answer:

Step-by-step explanation:

0.25=25/100=1/4

4 0
3 years ago
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tigry1 [53]
4) What is the question
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