Solve: 2(5-4A)=-2A+8-6A
1 answer:
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Answer:
a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb
b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.
This means that
Sample of 10:
This means that
a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.
This is 1 subtracted by the pvalue of Z when X = 158. So
By the Central Limit Theorem
has a pvalue of 0.4286
1 - 0.4286 = 0.5714
0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.
b.) Does this elevator appear to be safe?
No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
Question is Incomplete, Complete question is given below.
School started at 8:05 a.m and ended at 2:40 p.m. the work below shows Erica's calculation of the length of the school day
Which two errors did Erica make
A.She subtracted instead of adding the times
B.She subtracted the end time from the start time
C.She did not regroup on hours for 60 minutes to subtract the minutes
D.she did not account for a.m. and p.m. in the start and end times.
E.see switch to hours and minutes in both the start and end times
Answer:
B. She subtracted the end time from the start time and
D. She did not account for a.m. and p.m. in the start and end times.
Step-by-step explanation:
The school started at 8:05 a.m. and ended at 2:40 p.m.
And the length of the school day is calculated by Erica and it is shown in the attached photo.
See the attached photo.
Erica has done two errors which are
B. She subtracted the end time from the start time and
D. She did not account for a.m. and p.m. in the start and end times.
