Answer:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps.
Describe how to plot -3 3/4 on a number line?
2 answers:
On the number line, negative numbers go to the left. Since -3 3/4 is negative, go 3 spaces to the left.
When plotting a fraction or decimal on a number line, you need to estimate. If there are half marks in between the numbers, plot the point near the half mark. If it's -3 3/4, count 3 spaces, then go to the half mark of -3 to -4, and plot the 3/4 in between the -3 and -4 half mark. If there is no half mark, place it near the -4 mark.
The red line represents the half mark, the blue line represents where the point would go. Notice how when negative, the numbers go higher as they go left.
When plotting a fraction or decimal on a number line, you need to estimate. If there are half marks in between the numbers, plot the point near the half mark. If it's -3 3/4, count 3 spaces, then go to the half mark of -3 to -4, and plot the 3/4 in between the -3 and -4 half mark. If there is no half mark, place it near the -4 mark.
The red line represents the half mark, the blue line represents where the point would go. Notice how when negative, the numbers go higher as they go left.
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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 = 0.25