Answer:
0.8762 or 87.62%
Step-by-step explanation:
Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:
Our x value ranges from 10 to 26 therefore let x=10 and we obtain:
If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.
Now let's calculate the z value when x = 26 and so:
Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.
Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:
0.9992 - 0.1230 = 0.8762
or 87.62%
Answer:
462.60
Step-by-step explanation:
1-5 the #stays the same
6-10 goes to the next # up
Answer:
I cannot answer all of this, so I will only answer what I can:
Q1: 13
Q3: 22.5
IQR: 13.5
IQR(1.5): 20.25
Q3 + IQR(1.5) = 43
Q1 - IQR(1.5) = -7.25
I don't know if my calculations are all right but I hope this helps! :)
Answer: 1/2
Step-by-step explanation:
The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%
Option C is the correct answer.
<h3>What is Probability ?</h3>
Probability is defined as the study of likeliness of an event to happen.
It has a range of 0 to 1.
It is given in the question that
The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.
mean = 3550
standard deviation, = 870
Observed value, X = 4000
Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517
Probability of weight above 4000 lb
= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985
The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%
To know more about Probability
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