Suppose that a sequence is defined as follows. This the 1st four terms of the sequence. ASAP BRANLIEST TY!!
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Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
<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.
The mean and the standard deviation are given, respectively, by:
The probability of a bulb lasting for at most 569 hours is the <u>p-value of Z when X = 569</u>, hence:
Z = 1.16
Z = 1.16 has a p-value of 0.877.
0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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Using addition of variables, it is found that the mean of S is of 73 and the standard deviation is of 8.5.
<h3>What happens to the mean and the standard deviation when two variables are added?</h3>- The mean is the sum of the means.
- The standard deviation is the square root of the sum of variances.
In this problem, for variables A and B, we have that:
Variable S is the sum of A and B, hence:
The mean of S is of 73 and the standard deviation is of 8.5.
More can be learned about addition of variables at brainly.com/question/26156502
Answer:
,
and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is
Step-by-step explanation:
We attached a table below,
We attached a table below,
Therefore ,
correlation coefficient
We calculate the least squares equation.
Now , calculate intercept coefficient.
Therefore, the regression equation is,
Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8
