Answer:
Step-by-step explanation:
Let X denote the amount of time spending exercise in a given week
Given that X normal (3.8, (0.8)²)
Thus we know that
i)P [ amount of time less than two hour ]
= P[x < 2]
ii)
= P[z > 2.25] ∴ symmetric
= P[0 ≤ z ≤ ∞] - P[0 ≤ z ≤ 2.25]
= 0.5 - 0.48778
= 0.0122
iii)
P[2 < x < 4]
Answer:
i) Check attached image.
ii) P(x < 2) = 0.0122
iii) Check attached image.
iv) P(2 < x < 4) = 0.5865
Step-by-step explanation:
This is a normal distribution problem with
Mean = μ = 3.8 hours per week
Standard deviation = σ = 0.8 hours per week
i) The probability that a person picked at random exercises less than 2 hours per week on a shaded graph?
P(x < 2)
First of, we normalize/standardize the 2 hours per week
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (2.0 - 3.8)/0.80 = -2.25
The probability that someone picked at random exercises less than 2 hours weekly is shown in the attached image to this question.
P(x < 2) = P(z < -2.25)
ii) To determine the probability that someone picked at random exercises less than 2 hours weekly numerically
P(x < 2) = P(z < -2.25)
We'll use data from the normal probability table for these probabilities
P(x < 2) = P(z < -2.25) = 0.01222 = 0.0122 to 4 d.p
iii) The probability that a person picked at random exercises between 2 and 4 hours per week on a shaded graph?
P(2 < x < 4)
We then normalize or standardize 2 hours and 4 hours.
For 2 hours weekly,
z = -2.25
For 4 hours weekly,
z = (x - μ)/σ = (4.0 - 3.8)/0.80 = 0.25
The probability that someone picked at random exercises between 2 and 4 hours weekly is shown in the attached image to this question.
P(2 < x < 4) = P(-2.25 < z < 0.25)
iv) To determine the probability that a person picked at random exercises between 2 and 4 hours per week numerically
P(2 < x < 4) = P(-2.25 < z < 0.25)
We'll use data from the normal probability table for these probabilities
P(2 < x < 4) = P(-2.25 < z < 0.25)
= P(z < 0.25) - P(z < -2.25)
= 0.59871 - 0.01222 = 0.58649 = 0.5865
Hope this Helps!!!
Answer:
The largest standard deviation for the amount of cereal in a box is 0.3906.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The z-score of X = 16 has a pvalue of 0.1. So it is . Now we have to find the value of
.
The largest standard deviation for the amount of cereal in a box is 0.3906.
Line Speed Devective number
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11
a. Select a scatter diagram with the line speed as the independent variable.b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
Answer:
Here's what I get
Step-by-step explanation:
(a) Scatter diagram
The scatter diagram is the figure below.
(b) Interpretation
The scatter diagram shows there is a linear relationship between the variables.
The defective number decreases as the line speed increases.
The inspectors miss more faulty parts when the line speed increases, so they report fewer of them.
per ounce?
Answer: 24 ounce jar
Step-by-step explanation:
Unit price of 16 ounce jar
= 2.59 / 16
= 0.161875
Unit price of 24 ounce jar
= 3.29 / 24
= 0.137083
675 divided by 1600
Which expressions can be used to represent this problem?
Select each correct answer.
A) 675 ÷ 1600
B) 1600 ÷ 675
C) 1600675
D) 6751600
E) 1600675
F) 6751600
Answer:
The answer is A) 675 ÷ 1600.
Step-by-step explanation:
The answer is A) 675 ÷ 1600. 675 divided by 1600 means that the 675 will be split into 1600 parts. It's like you have 50 apples and you want to split it into two, can also be said or written as 50 DIVIDED BY 2.
In addition, If the statement says that 675 divides 1600 it means that the 1600 will be split into 675 part.
279%
37%
38%
Answer:
C.) 37%
Step-by-step explanation:
as a percentage is 37.5%
C. 37%