Abduljalil and Hamed are both collecting Among Us plushies. Abduljalil already has 7 and orders 6 per month. Hamed has 31 and on
1 answer:
You might be interested in
Answer: 8.85 rounded to the nearest hundredths place is 8.85
Step-by-step explanation:
The hundredths place is at 0.0x <--(where the x is).
So rounding from the thousandths to the hundredths is
Simply put, 8.85 is rounded to the nearest hundredths itself already.
Rounding to the nearest <em>10th </em>place however, would give you 8.9.
Hope this helps!
Answer:
a) We have the standard deviation and the mean, so it is appropriate to use the normal distribution to find probabilities for x.
b) There is a 15.97% probability that x will be between 54 and 55.
c) The 47th percentile of x is .
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
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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
A sample of size 45 will be drawn from a population with mean 53 and standard deviation 11.
This means that .
We have to find the standard deviation of the sample, that is:
(a) Is it appropriate to use the normal distribution to find probabilities for x?
We have the standard deviation and the mean, so it is appropriate to use the normal distribution to find probabilities for x.
(b) Find the probability that x will be between 54 and 55.
This is the pvalue of the Z score when X = 55 subtracted by the pvalue of the Z score when X = 54.
X = 55
has a pvalue of 0.88877.
X = 54
has a pvalue of 0.72907.
So, there is a 0.88877 - 0.72907 = 0.1597 = 15.97% probability that x will be between 54 and 55.
(c) Find the 47th percentile of x. Round the answer to at least two decimal places.
This is the value of X when Z has a pvalue of 0.47;
This is between and
. So we use
.
The 47th percentile of x is .