Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
.
The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:


Z = 1.71
Z = 1.71 has a p-value of 0.9564.
1 - 0.9564 = 0.0436.
0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer:
c
Step-by-step explanation:
Answer:
Diameter = 8 ft
Step-by-step explanation:
To find diameter, we need to work backwards from the formula for circumference of a circle.
Circumference = 2πr
given that π = 3.14
Circumference = 2*3.14*r
25.12 = 2*3.14*r
25.12 = 6.28 * r
4 = r
Radius = 4
Formula for Diameter =
D = 2r
D = 2*4
D = 8
Diameter = 8
Lets Check
Circumference = 2 * 3.14 * 4
Circumference = 25.12
Correct
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